王立辉,胡四一,龚春生. 二维浅水方程的非结构网格数值解[J]. 水利水运工程学报, 2006, (1): 8-13.
引用本文: 王立辉,胡四一,龚春生. 二维浅水方程的非结构网格数值解[J]. 水利水运工程学报, 2006, (1): 8-13.
WANG Li-hui,HU Si-yi,GONG Chun-sheng. Numerical solution for two-dimensional shallow water equations on unstructured grids[J]. Hydro-Science and Engineering, 2006, (1): 8-13.
Citation: WANG Li-hui,HU Si-yi,GONG Chun-sheng. Numerical solution for two-dimensional shallow water equations on unstructured grids[J]. Hydro-Science and Engineering, 2006, (1): 8-13.

二维浅水方程的非结构网格数值解

Numerical solution for two-dimensional shallow water equations on unstructured grids

  • 摘要: 用Lax-W endroff格式和Lax-Friedrichs格式交替使用形成的复合型格式,对二维浅水方程在非结构网格上进行离散,利用不同格式之间数值耗散、数值色散而相互补偿和抵消的复合作用,消除数值计算中出现的非物理振荡和过度光滑现象.利用本文算法对斜水跃问题、二维矩形部分溃坝模型和二维圆形全溃模型模拟的结果表明,该算法具有较高的涌波捕捉能力,适合处理边界面复杂的浅水流动问题.

     

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