On a numerical flux for the shallow water equations

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.

Keywords

• Euler equations
• shallow water equations
• shocks
• finite volume method
• nonstationary problems