On a moving mesh method applied to the shallow water equations

• ID: 2565, RIV: 10070039
• ISSN: 0094-243X, ISBN: 978-0-7354-0831-9
• source: Numerical Analysis and Applied Mathematics ICNAAM 2010,AIP Conference Proceedings 1281
• keywords: moving mesh method; shallow water equations; finite volume method; shocks
• authors: Jiří Felcman, Libor Kadrnka
• authors from KNM: Felcman Jiří

Abstract

The moving mesh method is applied to the numerical solution of the shallow water equations. The original numerical flux of the Vijayasundaram type is used in the finite volume method. The mesh adaptation procedure is described. The relevant numerical examples are presented.