A simple fully well-balanced and entropy preserving scheme for the shallow-water equations

作者：Berthon Christophe; Michel Dansac Victor^*

来源：Applied Mathematics Letters, 2018, 86: 284-290.

DOI：10.1016/j.aml.2018.07.013

• Shallow-water equations
• Godunov-type schemes
• Well-balanced schemes
• Moving steady states
• Entropy-satisfying schemes

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.

• 出版日期2018-12