Séance Séminaire

Séminaire ACSIOM

From Saint-Venant to Navier-Stokes with variable density. Modeling, kinetic interpretation and simulations

The classical Saint-Venant system with viscosity and friction is well suited for the modeling of dam breaks or hydraulic jumps. Considering flows with large friction coefficients, with significant water depth or with important wind effects, the horizontal velocity can hardly be approximated, as in the Saint-Venant system, by a vertically constant velocity. We first present a multilayer extension of the Saint-Venant system and then we propose another extensions including non-hydrostatic terms and varying density. For each model, a kinetic interpretation and an associated discrete scheme is given and some simulations are presented.