基于无结构网格有限体积法的Roe隐格式探讨

n implicit Roe scheme numerical model for solving the shallow-water flow based on finite volume method with unstructured grids is described. The implicit discrete equations were linearized and iteratively solved by symmetric Gauss-Seidel method, As the topographic treatment will affect the stability and rationality of the mathematical model, a sloping model was applied to the treatment of topography. Verification of the model is made by comparison with the published results. Several examples were calculated and the results were compared with the explicit Roe scheme. The results of several examples show that the model is capable of treating discontinuities and flow transients, and has the advantage of less computation time.