Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations - Inria - Institut national de recherche en sciences et technologies du numérique
Preprints, Working Papers, ... Year : 2017

Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations

Abstract

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. We derive a vertically implicit / horizontally explicit finite volume kinetic scheme that ensures the positivity of the approximated water depth, the well-balancing and a fully discrete energy inequality.
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Dates and versions

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

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Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie. Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations. 2017. ⟨hal-01583511v2⟩
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