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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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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-01583511
Contributor : Jacques Sainte-Marie <>
Submitted on : Monday, October 9, 2017 - 5:02:59 PM
Last modification on : Monday, December 14, 2020 - 9:44:40 AM
Long-term archiving on: : Wednesday, January 10, 2018 - 12:41:41 PM

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  • HAL Id : hal-01583511, version 2
  • ARXIV : 1710.04054

Citation

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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