This article is cited in 11 papers

Balance-characteristic scheme as applied to the shallow water equations over a rough bottom

V. M. Goloviznin, V. A. Isakov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

Abstract: The CABARET scheme is used for the numerical solution of the one-dimensional shallow water equations over a rough bottom. The scheme involves conservative and flux variables, whose values at a new time level are calculated by applying the characteristic properties of the shallow water equations. The scheme is verified using a series of test and model problems.

Key words: system of hyperbolic equations, shallow water equations over a rough bottom, numerical methods, balance-characteristic scheme, CABARET scheme.

UDC: 519.63

Received: 26.05.2016
Revised: 06.10.2016

DOI: 10.7868/S0044466917070092

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:7, 1140–1157

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