Min valu 2 263202 E00 Max valu 8

THE PHOENICS COURSE AT THE MECHANICAL ENGNG SCHOOL (2001) Min valu= 2. 263202 E+00

TURBULENT THROUGH FLOW BETWEEN COROTATING DISK ASSEMBLIES Min valu= 2. 263202 E+00 Max valu=

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Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) * ** *** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 THE USE OF PHOENICS AT THE MECHANICAL ENGINEERING SCHOOL UNICAMP ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Dr. Eugênio Spanó Rosa Energy Dept / FEM 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** TALK OUTLINE * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Why and when we begin using PHOENICS. • Teaching cfd at the Mechanical Engng. School by means of PHOENICS. • Research work at the Mechanical Engng School using PHOENICS. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** A LITTLE BIT OF HISTORY * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • First demand occurred in 1995 by PETROBRAS. • Research on two-phase flow of gas and liquid. • Task: experimental measuring and cfd modeling in upward air-water flows in bubbly regime inside pipes and nozzles. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • A license of PHOENICS 2. 0 was purchased plus the placement on the one-week course held in CHAM headquarter at Wimbledon during the summer 95. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE ONE WEEK COURSE AND THE ‘S’ CURVE ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) * ** *** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • The five day training was quite challenging to a person who never heard about PHOENICS! • Wise words of John Ludwig: “let PHOENICS shovel into you” ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 knowledge Stayed here for nearly 12 months! time 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** MAKING UP TO THE ONE-WEEK COURSE * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • After a period of one year I realized that was said about PHOENICS was enough for a start. • I also concluded: to learn PHOENICS is necessary to put the hands on. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • With a minimum knowledge to walk around within PHOENICS you start make your own ‘numerical experiences’: I think it should work this way. Does it work the way I though? • Every affirmative answer is another brick on the wall. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** Natural phenomenon WHAT IS THE MINIMUM KNOWLEDGE? * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Physical modeling Numerical schemes Software: PHOENICS ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Crunching number machine Analyzing if the output makes sense output • It is quite difficult to draw a dividing line between the software and the human interface. • They are strongly coupled and interplay at all stages of the process • Therefore to get acquaintance with PHOENICS is necessary to have fundamental knowledge on the 3 topics within the triangle. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** FROM 1996 UNTIL 2000 * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • The first graduate students start using PHOENICS. • A PHOENICS introduction was given on a one-toone basis. I used to stress: do not loose sight of: • The problem’s physical fundamentals regarding: thermodynamic, heat transfer, fluid mechanics and also the numerical issues. • Try to divide your problem into simple problems; • Treat the package as a ‘numerical lab’; that is, get used to test your own hypothesis. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE YEAR 2000 * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • The first works with PHOENICS start showing up. • At that time there were faculty members using FLUENT and CFX. • Foreseen the future of CFD as a teaching tool, the former head of the Mech. Engng. Graduate School, Prof. Kamal, decided to invest in one site license to the grad school. • Analyzing the several options the one that most suited the school needs was PHOENICS. • And I was in charge to set up a regular course to introduce PHOENICS to the students. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE TARGET * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • An introduction to CFD is not a topic self contained. The user has to have a good knowledge on the fundamentals areas. • The PHOENICS course was thought as a discipline which will integrate all areas. • It is quite appealing to perform numerical simulations; • But the course goal is to awake the students to learn more about fundamentals to perform even better the simulations. • In other words: “it is not a push button training! ” 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

THE PHOENICS COURSE AT THE MECHANICAL ENGNG SCHOOL (2001) Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • It is a 45 hour course (15 weeks); • Directed to: senior undergraduate students and entry level graduate students. The course objectives are three-fold: • Get acquainted with the PHOENICS environment; • Review basic fundamentals of fluid mechanics, heat transfer and thermodynamics in case problems; • Introduce basic concepts of numerical methods using case problems. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #1: • Introduction to CFD. It shows the powerful tool CFD has became and the class sylabus. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Class #2 to #4: • Introduction to PHOENICS VR and the 10 tutorial cases. Class #5: • Introduction to PHOTON and AUTOPLOT 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • VR is almost self-explained, the icon language helps a lot the students to get used with the PHOENICS environment. • Some times there are some ‘over-shuts’. That is, it builds on the students a self confidence that they can do any thing with the package: Uma figura de um avião, formula um etc ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE (cont. ) * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #6: • Introduction to PIL language. The group structure and the meaning of some commands. Class #7: • Convergence control and monitoring. Explore the commands in groups 15 thru 18. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Class #8: • A short view of the finite volume method. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • From class #6 and on the course starts departure from VR to the command line; • The Convergence topic explores the meaning of the residual of reference and grid refinement; ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Finally the finite volume introduction sets theoretical basis to understand: the numerical schemes to treat the convection and diffusion; the way PHOENICS treats boundary conditions (S = TC(V-phi)) and the mass b. c. thru the pressure correction equation. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE (cont. ) * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #8: • Potential Flow. It explores the commands in group 8, and uses the subroutine GXPOT. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Class #9: • Boundary Layer Flow. It uses commands in group 8, and 14. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Potential flow studies simple 2 -D geometries. The solutions are compared against theoretical solutions. It puzzle some students the need of creating and solving a new variable (say POT) instead of using U 1, V 1, W 1 and P 1 from VR. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Boundary Layer flow also studies simple 2 -D flows. The hydrodynamic and thermal b. l. numerical solution over a flat plate is compared against Blasius solution; also the wall jet flow is explored 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** Flat Plate B. L. * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** Wall Jet * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Y Stream Lines W 1 contour plot Z ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Is trick to the unawered student the use of an outlet b. c. type (constant pressure b. c. ) at the north face of domain once the fluid is entering the domain due to jet entrainment. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE (cont. ) * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #10: • Boundary Conditions and Source Terms. It explores the commands in group 13. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Class #11: • Energy Equation. It explores the commands in group 13. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Boundary Conditions and Source Terms introduces the way to set these sources using the commands PATCH and COVAL. The types FIXVAL and FIXFLU are bring to practice. Also inlet and outlets momentum and mass b. c. as well as wall b. c. are revisited using PATCH and COVAL. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • The Energy Equation stresses the differences when using H 1 and TEM 1 formulations: PATCH (PARE , NWALL , 1, 1, NY, 1, NZ, 1, 1) COVAL (PARE , W 1 , 1. 000000 E+00, 0. 000000 E+00) COVAL (PARE , H 1 , 1/PRNDTL(H 1), CP 1*TWALL) COVAL (PARE , TEM 1 , 1, TWALL) ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Also explore the more general form of the diffusive coefficient in PHOENICS: 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE (cont. ) * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #12: • Defining Properties. It explores the commands in group 9. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Class #13: • A FORTRAN review. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Defining properties outlines some ways to set properties within PHOENICS such as densities, viscosities, Prandtl, thermal conductivity, thermal diffusivity, among others. Also explore the use of GROUND subroutines to set properties dependence on pressure and temperature as well use of the PRPS file and the IMAT index. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • An introduction to FORTRAN compiler is necessary because the students are not used to this language; they learned ‘C’ language instead. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** THE COURSE OUTLINE (cont. ) * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Class #14 and #15: • The GROUND Structure and Using GROUND. It explores every group visited so far and a little bit more… ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** COMMENTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • The GROUND coding is the ‘big window’ PHOENICS open to its user to explore in full its modeling capabilities. • There a very great possibilities to explore GROUND. Nevertheless it is patterned the PHOENICS tutorials introducing the GROUND programming capabilities and the GROUND group structure. Two applications are worked: ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Considering a pipe flow, how to write an output file containing W 1, V 1, P 1, TEM 1 and also Cf , Nu and the mixture temperature. • A dispersion of a contaminant in air. The user has to set the mixture density and the buoyancy terms using GROUND. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** FUTURE IMPROVEMENTS AND DOUBTS * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • In Form use will be inserted on the next version of the course. • Question: in what extension will In Form turn ground programming useless? ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • The course will explore some aspects in a form of extra-class seminars or self-study sections such as: bfc applications, use of convection-diffusion schemes, turbulence and other related topics. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** CLASSES OF 2001, 2002 & 2003 * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP st* Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) NDH Concentration Heat and Momentum Ltd e *** ST CCCCCCC See IN , 1, E+00 +00) Sp *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 2 1 SEM 2001 CLASS Athanassi D. Papathanassiou S Francisco Ilson da Silva Júnior M SEM 2002 CLASS 1 SEM 2003 CLASS André Valente Bueno M Thomas Maciel Moura Pablo Julián Rodriguez M Rodrigo Araújo Sadala D Cristina Autuori Tomazeti D Walter Ricardo Gallette D Rogério Ishikawa Hory D Guilherme Eduardo da Silva Pereira José Eduardo Rigo D UG André Damiani Rocha D Rodrigo Paniago Peixoto UG Paulo César Mioralli M UG D Fernando Luiz Torsani S Carlos Teófilo Salinas Sedano D Luiz Antonio Bueno UG Wu Shin Chien S André Bosquê Monteiro M Josué Luiz Corrêa UG Alexandre Marconi de Souza da Costa D Rogerio Gonçalves dos Santos S Gustavo Nunes Pinto Villela Conrado UG ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Suzimara Rossilho de Andrade Pedro Nery Lavinas UG Valter Cesar de Souza D Henrique Gustavo Argentieri D 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 SOME OF STUDIES DEVELOPED USING PHOENICS ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** UPWARD BUBBLY FLOW IN A NOZZLE * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Sílvio Gonçalves Dias Ph. D dissertation (2000) • Experimental and numerical simulation of upward dispersed air bubbles in water thru a converging nozzle. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Numerical results for the void fraction. (5 a) applies for (JG = 2. 1 cm/s; JL =26 cm/s and (5 b) when (JG = 7. 0 cm/s; JL =104 cm/s), 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** HIGH SPEED SEQUENCE OF IMAGES * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** EXPERIMENTAL AND NUMERICAL DEVELOPMENT OF A TWO-PHASE VENTURI FLOW METER * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Rigoberto Morales post doctoral work, 2002. • Application field: dispersed bubbly flow. DPT ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 DPS P&T upward • Objective: prediction of the phases flow rate using the experimentally determined pressure signals. • Method: develop a 1 -D model whose constants (Cd, inlet void fraction, and drift flux constants) are estimated by use exclusive of cfd. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** EXPERIMENTAL AND NUMERICAL DEVELOPMENT OF A TWO-PHASE VENTURI FLOW METER * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • This approach allows the flow meter constants be developed accordingly to each flow meter characteristics: geometry, flow velocities and fluid properties. • Predicted and experimental gas and liquid superficial velocities; better than 7% and 5% bias. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** FREE SURFACE FLOW IN A HELIX CHANNEL * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Rigoberto Morales Ph. D work, 2001. • Application field: gas-oil separators. • Objective: prediction of the flow velocity and liquid hold up in helix • Method: developed a fully-developed flow model with HOL and Low Reynolds turbulence model to pick up the flow velocities and hold-up 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** FREE SURFACE FLOW IN A HELIX CHANNEL * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Interface position: ( __ ) PHOENICS, (+++) experimental (Alves , 2000); (a) Channel I, =0, 29 Kg/s, Re = 22000; (b) Channel II, =0, 44 Kg/s, Re = 30000; (c) Channel II, =1. 02 Kg/s, Re = 48000. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** VERTICAL BUBBLY FLOW IN A U BEND * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Arlindo Matos, Ph. D student (temporarily out of the program). • Application field: gas-oil separators. • Objective: prediction of the phases distribution inside the U bend ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 • Method: use the two-fluid model embodied in PHOENICS to predict the phase distribution. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** VERTICAL BUBBLY FLOW IN A U BEND * ** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

TURBULENT THROUGH FLOW BETWEEN COROTATING DISK ASSEMBLIES Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) * ** *** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate 0 m L * s ar 2 1 * t g L 4 Y * s n 4 L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL *** Z **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 • Ricardo Mazza, Ph. D (2002). • Application: turbo machinery. • Objective: velocities profiles, pressure distribution and friction factors inside corotating disks channel. • To investigate the near wall effects on the core flow two turbulence models were employed: k-e standard and twolayer model to get to the wall. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 W R out Rin Win symmetry line S 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003

TURBULENT THROUGH FLOW BETWEEN COROTATING DISK ASSEMBLIES Min valu= 2. 263202 E+00 Max valu= 8. 991882 E+00 N, S, E, W. . . denote: North, South, East. . ****************************** ***************************** *** Group 7. Variables: STOREd, SOLVEd, NAMEd ONEPHS = T NAME( 1) =P 1 ; NAME( 5) =V 1 NAME( 7) =W 1 ; NAME( 14) =TEMP * Y in SOLUTN argument list denotes: * 1 -stored 2 -solved 3 -whole-field * 4 -point-by-point 5 -explicit 6 -harmonic averaging SOLUTN(P 1 , Y, Y, N, N, N, Y) SOLUTN(V 1 , Y, Y, N, N, N, Y) SOLUTN(W 1 , Y, Y, N, N, N, Y) SOLUTN(TEMP, Y, Y, Y, N, N, Y) ** *** * ----------------------------* *** s *** CCCC HHH PHOENICS Version 3. 5. 0 - EARTH 1) *** ource * * * 1, CCCC H (C) Copyright 2002 , *** cial S * 1 * ) *** Spe CCCCCCC See H Concentration Heat and Momentum Ltd IN , 1, E+00 +00) *** is: 5 000 0 E ) *** ry & h CCCCCCC our new H All rights reserved. * , 00 c * 0 t ** da pa 1, 1 5. 0000 00 E+ +00) s CCCCCC Web-site H Address: Bakery House, 40 High St ****** Boun i , th 1, 0. 000 00 E ** 13. or 0, 0 0 CCCCCCC www. cham. H Wimbledon, London, SW 19 5 AU *** ct f W , FLU 0 E+0 0, 5. . 000 *** roup e j 9 b 0 X 0 I O CCCCCCC co. uk H Tel: 0208 -947 -7651 , o + 0 G , L , F 00 00 E +00 R 1) , t. V CCCC H Fax : 0208 -879 -3497 , P 1 , 0. 0 000 E ET 5, 1 00) ren (OB 1 L a. 1 0 T P CH 1 + CCCC HHH E-mail: phoenics@cham. co. uk , V , 0 0. 00 OU , 5, 000 E +00) OB T 1 is: 5 , W MP, PA VAL( OB 1 ----------------------------0 E 00) h 0 0 , c M 0 ( , TE N in v s pat 1, 1 0, 0. 0000 0 E+ +00) This program forms part of the PHOENICS installation for: CO VAL (OB 1 0 0 , S thialu , . 0 CO VAL OB 1 =1 2 00 E+ 00, 0. 0000 000 E CHAM for , E, W ( , 0 t O. 0 L 0 2 + 0. c C VA H. . 0 6 E 00, 0. 0 je The code expiry date is the end of : Jan 2003 ob 0 , HIG , 1. 00 d 0 e 0 n 0 o 3020 E + 00, 2 CO R H E 0 0 ----------------------------t V B 2 HHH, P 1. 0 00 t 0 e: N 0+E 0+0 , 0 0 ren 00 orth Max Pa CH(O B 12 S H VH 1 HH , 0. 0. 000 , , S va 2 O T 0 1 ou lu H ( P, HH , W MH PA VAL 3 OSB 2 th, = 8 8 ( E 88 Ea. 99 O H S L 2 T , C H A 4 OB ****************************** st 18 8 H V 8 HH. . 82 E 888 88 ****************************** CO 5 VASL( OB 2 8 H Group 5. Z-Direction Grid Spacing 8 8 +00 HH 888 ( 8 O S L 8 Group 17. Relaxation 666 HH C 6 VA 888 8 PARAB = F 888 HH O 888 S 666 6 C RELAX(P 1 , LINRLX, 1. 000000 E+00) H 8 44 7 S NZ = 5 H 888 8 6 6 RELAX(V 1 , FALSDT, 1. 000000 E+00) 88 44 22 HHH 6 8 8 S 6 ZWLAST = 2. 000000 E+00 8 888 66 6 4 22 000 N HHH RELAX(W 1 , FALSDT, 1. 000000 E+00) 9 S HH ZFRAC (1) = 2. 000000 E-01 ; ZFRAC (2) = 4. 000000 E-01 8888 666 66 4 4 22 000 N HH RELAX(TEMP, FALSDT, 2. 800000 E+04) 8 10 8 4 2 6 000 8 H ZFRAC (3) = 6. 000000 E-01 ; ZFRAC (4) = 8. 000000 E-01 S 8 8 6 HH 88 88 66 44 2 11 N OVRRLX = 0. 000000 E+00 HH ZFRAC ( 5) = 1. 000000 E+00 8888 666 6 44 22 000 N HH = F ; NNORSL = F 12 S 0 EXPERT 8 6 0 H 222 ****************************** 0 N 666 HH 888 13 S H 6 44 **** 0 8 **** 14 S 888 6666 44 22 0 0 N **** * S 2 0 * 6 8 * 2 N * 15 666 44 888 88 00 N **** 8 16 S 666 6 44 22 **** 888 88 * 0 * S * N * 22 17 666 44 **** 888 88 0 **** 18 S 44 22 N N 888 66 **** l: * * 8 * S 6 2 ruti 888 19 **** gxp 66 44 2 2 N 88 **** S * m 8 * o * 8 r 2 * 20 f 44 * 8 N data 8888 66 4 4 22 20 S 0. . 4 N ated ed 888 l 6 are. LL e 6 r 888 6 4 2 N 88 LL rty- t stor s used e p 8 L 4 666 LL 20 Pro S is no pertie 888 88 N LL o 88 666 444 LL *** 2 4 PRP rial pr LL 68 *** N LL 8888 666 44 N e. . . *** ate m LL *** 0 2 4 s ar 1 t g 4 s n L i * 6 N n *** tt 6 LL de m *** 6 8 0 LL 6 N d se l *** LL 24 late 00 visc t 1 e *** * r L * r * 000 LL *** solution *** 6 8 Whole-field residuals before peh , othe 300 571 LL *** s * 0 * o * a T 1 LL at als *** EARTH ***** 2 4 6 with resref values determined**by LL 1 le is *** ed d x = *** LL 157 ilab is *** egr = T y-relat *** 8 0 2 a s L & resfac= 1. 000000 E-03 v u *** L a *** t d e r r L s 4 c * e g n * * LL *** tio lowan is variable resref (res sum)/resref (res sum) **** use of prop *** LL **** loca al *** LL nd *** ray e BFC wance **** P 1 1. 068 E-03 6. 405 E-02 6. 843 E-05 ****** L e r a *** r *** F llo ****** Ca r of V 1 5. 051 E-04 1. 952 E-01 9. 861 E-05 befo * *** mbe r used fter BF **** u * * N a W 1 4. 862 E-03 6. 399 E-02 3. 111 E-04 * *** e * * d b * e * * Num ber us **** TEMP 8. 856 E-03 1. 704 E-02 1. 509 E-04 * o Num ******* ** **** 0 Through flow and tangential flow velocity components. ****************************** Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1 -built-in source 2 -convection 3 -diffusion 4 -transient * 5 -first phase variable 6 -interphase transport TERMS (P 1 , Y, Y, Y, N) TERMS (V 1 , Y, Y, Y, N) TERMS (W 1 , Y, Y, Y, N) TERMS (TEMP, N, Y, Y, N) DIFCUT = 5. 000000 E-01 ; ZDIFAC = 1. 000000 E+00 GALA = F ; ADDDIF = F ISOLX = 0 ; ISOLY = -1 ; ISOLZ = -1 Log law as outcome from two-layer model and the turbulent kinetic energy profile. 1 Simpósio de Usuários de PHOENICS no Brasil Campinas, Outubro de 2003