关键词: 浅水方程, 限定Delaunay三角剖分, 有限体积法, 通量向量分裂法

Abstract:

In order to solve the realtime computation and visualization of the wave state in the wide area, by combining the physical model of nonviscous fluid dynamics, a simplified finite volume algorithm is proposed, which uses triangle as control unit. The advantage of the proposed algorithm is that: Based on irregular triangular mesh of irregular boundary area, the boundaries' numerical flux of triangles can be obtained by simplifying fluxvector splitting method. Then shallow water flow with irregular boundary can be realtime simulated by fast approaching the solution of the twodimensional shallow water equations. Experimental results show that the realtime visual simulation of the wave can be better achieved by using this method in the physical laws of the real world under the premise. 

Key words: shallow water equations;constrained Delaunay triangulation;finite volume method;flux-vector splitting method