Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Numerical Analysis
2017-10-12 v1
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.
Keywords
Cite
@article{arxiv.1710.04054,
title = {Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations},
author = {Emmanuel Audusse and Marie-Odile Bristeau and Jacques Sainte-Marie and M. -O Bristeau},
journal= {arXiv preprint arXiv:1710.04054},
year = {2017}
}