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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2012 Volume 13, Issue 4, Pages 511–516 (Mi vmp57)

Вычислительные методы и приложения

A finite difference method for solving nonlinear shallow water equations on unstructured grids

A. V. Drutsa

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An algorithm for solving a finite-difference scheme that approximates the shallow water equations with a nonlinear part on unstructured grids is proposed. A comparison of the numerical results obtained for nonlinear and linear cases is discussed. The effect of “bad” grid elements on numerical results is analyzed.

Keywords: shallow water equations; nonlinear tidal wave equations; finite difference schemes on unstructured grids.

UDC: 519.6

Received: 15.09.2012



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