This article is cited in 8 papers

Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows

O. V. Bulatov

Faculty of Physics, Moscow State University, Moscow, 119992, Russia

Abstract: Analytical solutions of the Saint Venant equations for five typical Riemann problems over a forward- or backward-facing step are constructed. These analytical solutions are used as reference ones to estimate the accuracy of simulated discontinuous solutions based on the regularized shallow water equations.

Key words: Saint Venant equation, Riemann problem, shallow water equations, finite difference method.

UDC: 519.634

Received: 02.08.2013

DOI: 10.7868/S0044466914010049

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:1, 158–171

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