12 TH EUROPEAN FLUID MECHANICS CONFERENCE 09 13

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12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Politecnico di Torino

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Politecnico di Torino - Turin (Italy) Mechanical and Aerospace Engineering Department Spatial investigation of wall turbulence via complex networks Presenting Author: Giovanni Iacobello Co-Authors: S. Scarsoglio, J. G. M. Kuerten, L. Ridolfi September 10, 2018

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Turbulence Data Fully-developed

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Turbulence Data Fully-developed turbulent channel flow 2/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3/12 Principal focus

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3/12 Principal focus Two-point correlation coefficient Complex networks analysis!

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna What are complex

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna What are complex networks? Nodes: 16 1000 ? Links: 21 2620 NON-TRIVIAL TOPOLOGICAL FEATURES FROM REAL-WORLD COMPLEX SYSTEMS 4/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna From spatio-temporal turbulence

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna From spatio-temporal turbulence data to complex networks

6/12 12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Complex networks

6/12 12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Complex networks analysis Nodes LINKS CREATE A TEXTURE OF CONNECTIONS Iacobello, G. , Scarsoglio, S. , Kuerten, J. G. M. , & Ridolfi, L. (2018). Physical Review E, 98(1), 013107.

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Neighbours of a

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Neighbours of a node? Long-range Short-range TELECONNECTIONS Iacobello, G. , Scarsoglio, S. , Kuerten, J. G. M. , & Ridolfi, L. (2018). Physical Review E, 98(1), 013107. 7/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3 D perspective

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3 D perspective view Imprint of coherent streaks Iacobello, G. , Scarsoglio, S. , Kuerten, J. G. M. , & Ridolfi, L. (2018). Physical Review E, 98(1), 013107. 8/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3 D perspective

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 3 D perspective view Short-range No teleconnectections at the center Iacobello, G. , Scarsoglio, S. , Kuerten, J. G. M. , & Ridolfi, L. (2018). Physical Review E, 98(1), 013107. 9/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna What are the

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna What are the most connected nodes in the network?

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 11/12 Complex networks

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna 11/12 Complex networks analysis HUBS NO HUBS Mean flow direction Iacobello, G. , Scarsoglio, S. , Kuerten, J. G. M. , & Ridolfi, L. (2018). Physical Review E, 98(1), 013107. Mean flow direction

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Conclusions q Overview:

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Conclusions q Overview: ü Novel perspective on wall-bounded turbulence ü The spatial information is preserved in all directions q Future research: ü Reynolds number effects ü Physical role of network hubs and teleconnections 12/12

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Thank you for

12 TH EUROPEAN FLUID MECHANICS CONFERENCE, 09 -13 September 2018, Vienna Thank you for your attention Questions?