3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau +1
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic recon…
Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow
Emmanuel Audusse, Olivier Delestre, Le Minh-Hoang +3
In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we apply to moving dunes test cases in one and two dimens…
Optimized Schwarz waveform relaxation for Primitive Equations of the ocean
Emmanuel Audusse, Pierre Dreyfuss, Benoit Merlet
In this article we are interested in the derivation of efficient domain decomposition methods for the viscous primitive equations of the ocean. We consider the rotating 3d incompre…
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…