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학술저널

THE NUMERICAL SOLUTION OF SHALLOW WATER EQUATION BY MOVING MESH METHODS

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This paper presents a moving mesh method for solving the hyperbolic conservation laws. Moving mesh method consists of two independent parts: PDE evolution and mesh- redistribution. We compute numerical solution of shallow water equation by using moving mesh methods. In comparison with computations on a ¯xed grid, the moving mesh method appears more accurate resolution of discontinuities.

1. Introduction

2. Moving mesh method

3. Numerical experiments

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