3 papers
math.NA2025
Construction and Performance of Kinetic Schemes for Linear Systems of Conservation Laws
Emmanuel Audusse, Sébastien Boyaval, Virgile Dubos +1
We describe a methodology to build vectorial kinetic schemes, targetting the numerical solution of linear symmetric-hyperbolic systems of conservation laws -a minimal application c…
math.NA2017
Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie +1
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are…
math.AP2009
A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation
Emmanuel Audusse, Marie-Odile Bristeau, Benoit Perthame +1
The standard multilayer Saint-Venant system consists in introducing fluid layers that are advected by the interfacial velocities. As a consequence there is no mass exchanges betwee…