On a Numerical Flux for the Shallow Water Equations

• ID: 2415, RIV: 10026578
• ISSN: not specified, ISBN: 978-0-7354-0708-4
• source: Numerical Analysis and Applied Mathematics, ICNAAM 2009, AIP Conference Proceedings 1168
• keywords: Numerical; Shallow; Water; Equations
• authors: Jiří Felcman, Oto Havle
• authors from KNM: Felcman Jiří

Abstract

The finite volume schemes of Vijayasundaram and Osher-Solomon type are proposed. The numerical results with discontinuous initial condition and the comparison with Lax-Friedrichs approach are presented for homogeneous case. The extension of the method for the inhomogeneous case is described.