Adaptive numerical methods for fluid mechanics
Séminaire Modèles et Algorithmes Déterministes: EDP-MOISE-MGMI
28/01/2016 - 11:00 Mr Stéphane Popinet (Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie) Salle 1 - Tour IRMA
The equations of fluid mechanics can be used to describe natural processes over a wide range of scales, from the behaviour of micro-organisms to astrophysics. Each of these processes is in turn often controlled by internal interactions on widely different scales. Numerical methods able to efficiently resolve these interactions are -- in combination with theoretical analysis and lab experiments -- an essential tool for advancing our understanding. I will give a general overview of the hierarchical numerical methods I have worked on, as implemented within the free software Gerris Flow Solver (http://gfs.sf.net) and Basilisk (http://basilisk.fr) and discuss a range of applications including microscale high-energy droplet dynamics, multiphase and complex flows, tsunamis and climate dynamics.