THE DESIGN OF CHARACTERIZING-INTEGRAI SCHEMES AND THE APPLICATION TO THE SHALLOW WATER WAVE PROBLEMS

Abstract

Abstract: In this paper a new approach for designing upwind type schemes-the characterizing-integral method and its applied skills are introduced. The method is simple, convenient and eff ective. And the method isn ’t only limited to conservation laws unlike other methods and maybe easily extended to multi-dimension problems. Furthermore, the numerical dissipation of the method can be flexibly regulated, so that it is especially suitable for solving various discontinuity problems.The paper shows us now to use this approach to simulate deformation and breaking of a nonlinear shallow water wave on a gentle slope, and to compute two-dimensional dam failure problem.

Key words: characteristics, numerical simulation, shallow water wave

Liu Ru-xun . THE DESIGN OF CHARACTERIZING-INTEGRAI SCHEMES AND THE APPLICATION TO THE SHALLOW WATER WAVE PROBLEMS. Applied Mathematics and Mechanics (English Edition), 1992, 13(3): 233-240.

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