On a numerical flux for the shallow water equations

• ID: 2631, RIV: 10104777
• ISSN: 0096-3003, ISBN: not specified
• source: Applied Mathematics and Computation (New York)
• keywords: Euler equations; shallow water equations; shocks; finite volume method; nonstationary problems
• authors: Jiří Felcman, Oto Havle
• authors from KNM: Felcman Jiří

Abstract

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