This article is cited in 2 papers

Numerical model for the shallow water equations on a curvilinear grid with the preservation of the Bernoulli integral

V. A. Shlychkov

Institute for Water and Ecological Problems, SB RAS

Abstract: Methodological aspects concerning the construction of a two-dimensional numerical model for reservoir flows based on the shallow water equations are considered. A numerical scheme is constructed by applying the control volume method on staggered grids in combination with the Bernoulli integral, which is used to interpolate the desired fields inside a grid cell. The implementation of the method yields a monotone numerical scheme. The results of numerical integration are compared with the exact solution.

Key words: numerical scheme, control volume method, curvilinear grids, Bernoulli integral, exact solutions, reservoir flows.

UDC: 519.634

Received: 15.12.2010
Revised: 10.09.2011

 English version: Computational Mathematics and Mathematical Physics, 2012, 52:7, 1072–1078

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