Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053372 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
In this communication, we consider a numerical scheme for the shallow-water system. The scheme under consideration has been proven to preserve the positivity of the water height and to be fully well-balanced, i.e. to exactly preserve the smooth moving steady state solutions of the shallow-water equations with the topography source term. The goal of this work is to prove a discrete entropy inequality satisfied by this scheme.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Christophe Berthon, Victor Michel-Dansac,