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

Autor:	Shlychkov, V.
Předmět:	NUMERICAL integration COMPARATIVE studies MATHEMATICAL models NUMERICAL analysis DIFFERENTIAL equations CONTROL theory (Engineering)
Zdroj:	Computational Mathematics & Mathematical Physics; Jul2012, Vol. 52 Issue 7, p1072-1078, 7p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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