A numerical model of the shallow water equations
- Slides: 26
A numerical model of the shallow water equations 09 -03 -2006 Guillaume Riflet Hydrogroup meetings
The system 12/2/2020 Hydrogroup meetings 2
Shallow water equations 12/2/2020 Hydrogroup meetings 3
Shallow water equations 12/2/2020 Hydrogroup meetings 4
The mesh n Arakawa fully staggered regular C - grid 12/2/2020 Hydrogroup meetings 5
The numerical scheme 12/2/2020 Hydrogroup meetings 6
The numerical scheme 12/2/2020 Hydrogroup meetings 7
The numerical scheme 12/2/2020 Hydrogroup meetings 8
The numerical scheme 12/2/2020 Hydrogroup meetings 9
The numerical scheme 12/2/2020 Hydrogroup meetings 10
The numerical scheme 12/2/2020 Hydrogroup meetings 11
The numerical scheme 12/2/2020 Hydrogroup meetings 12
The numerical scheme 12/2/2020 Hydrogroup meetings 13
filtering 12/2/2020 Hydrogroup meetings 14
Stability criteria 12/2/2020 Hydrogroup meetings 15
Boundary conditions SIMPLE DIRICHELET CONDITIONS AT THE BOUNDARY 12/2/2020 Hydrogroup meetings 16
Test-cases § Gaussian elevation § Wind forcing §Geostrophic balance 12/2/2020 Hydrogroup meetings 17
Gaussian Elevation § 20 x 20 grid points § 10 m depth § 10 m spatial increment § 0. 1 s time increment § 0. 2 m water level max initial elevation 12/2/2020 Hydrogroup meetings 18
12/2/2020 Hydrogroup meetings 19
Wind forcing § 20 x 20 grid points § 10 m depth § 10 m spatial increment § 0. 1 s time increment § 5 m/s wind along y 12/2/2020 Hydrogroup meetings 20
Wind forcing § 20 x 20 grid points § 2 m depth § 5000 m spatial increment § 5 s time increment § 5 m/s wind along y 12/2/2020 Hydrogroup meetings 21
Geostrophic equilibrium 12/2/2020 Hydrogroup meetings 22
Geostrophic equilibrium § 20 x 20 grid points § 2 m depth § 5000 m spatial increment § 0. 5 s time increment 12/2/2020 Hydrogroup meetings 23
Geostrophic equilibrium § 20 x 20 grid points § 2 m depth § 5000 m spatial increment § 0. 5 s time increment 12/2/2020 Hydrogroup meetings 24
MATLAB apoia a nossa selecção!!! 12/2/2020 Hydrogroup meetings 25
End Guillaume Riflet Hydrogroup meetings