Models and numerical methods for geophysical flows. Application to sustainable energies
Lundi 13 octobre 2014 14:00
- Duree : 1 heure
Lieu : Conference room - LIPhy - Bât E - 140 Avenue de la Physique - St Martin d’Hères. Accès par interphone, appeler le secrétariat
Orateur : Jacques SAINTE-MARIE (Numerical Analysis, Geophysics and Ecology, J-L Lions Laboratory (UPMC-Paris 6), Paris, France)
The modeling, the analysis and the simulation of geophysical flows are complex and challenging topics. The difficulties arising in gravity driven flow studies are threefold.
1- The models and equations encountered in fluid mechanics (typically the free surface Navier-Stokes equations) are complex to analyze and solve.
2- The considered phenomena often take place over large domains with very heterogeneous length scales (size of the domain, mean depth, wave length\ldots ) and different time periods e.g. coastal erosion, propagation of a tsunami,\ldots
3- Last but not least, these problems are multi-physics with strong couplings and nonlinearities.
During this presentation, we propose models approximating the free surface incompressible Euler equations and relaxing the classical shallow water assumptions. The smallness of dissipative effects in geophysical models which therefore generate singular solutions and instabilities reinforces the need of robust numerical methods. Several applications concerning hazardous flows and sustainable energies (buoys and microalgae culture) are given.
Contact : philippe.peyla@ujf-grenoble.fr
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