Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis

Résumé

We introduce a new scheme of finite volume type for barotropic Euler equations. The numerical unknowns, namely densities and velocities, are defined on staggered grids. The numerical fluxes are defined by using the framework of kinetic schemes. We can consider general (convex) pressure laws. We justify that the density remains non negative and the total physical entropy does not increase, under suitable stability conditions. Performances of the scheme are illustrated through a set of numerical experiments.
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Dates et versions

hal-00858252 , version 1 (05-09-2013)
hal-00858252 , version 2 (27-08-2014)

Identifiants

  • HAL Id : hal-00858252 , version 1

Citer

Florent Berthelin, Thierry Goudon, Sebastian Minjeaud. Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. 2013. ⟨hal-00858252v1⟩
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