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arXiv · 1710.04054

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

Emmanuel Audusse·Marie-Odile Bristeau·Jacques Sainte-Marie·M. -O Bristeau
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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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Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie, M. -O Bristeau. 2017-10-11. Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations. https://arxiv.org/abs/1710.04054

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