Kinetic entropy for layer-averaged hydrostatic Navier-Stokes equations - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2017

Kinetic entropy for layer-averaged hydrostatic Navier-Stokes equations

Résumé

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 able to extend previous results obtained for shallow water system and to derive a vertically implicit horizontaly explicit finite volume kinetic scheme that ensures the positivity of the approximated water depth and a fully discrete energy inequality.
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Dates et versions

hal-01583511 , version 1 (15-09-2017)
hal-01583511 , version 2 (09-10-2017)

Identifiants

  • HAL Id : hal-01583511 , version 1

Citer

Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie. Kinetic entropy for layer-averaged hydrostatic Navier-Stokes equations. 2017. ⟨hal-01583511v1⟩
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