A decoupled staggered scheme for the shallow water equations
Numerical Analysis
2019-06-27 v1 Numerical Analysis
Abstract
We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of the water height, preservation of constant states, and weak consistency with the equations of the problem and with the associated entropy inequality.
Cite
@article{arxiv.1906.11001,
title = {A decoupled staggered scheme for the shallow water equations},
author = {Raphaèle Herbin and Jean-Claude Latché and Youssouf Nasseri and Nicolas Therme},
journal= {arXiv preprint arXiv:1906.11001},
year = {2019}
}