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.
A composite scheme is formed scheme is developed to disperse and solve nonphysical oscillation and over-smooth composite action of intercompensation of d using Lax-Wendroff and Lax-Friedrichs schemes by turns. The composite the two-dimensional shallow phenom ifferent enon of the numeri water equations on unstructured grids. The cal calculation can be eliminated by the schemes＇ numerical dissipation and dispersion. The method was used to simulate an oblique hydraulic jump, a two-dimensional partial dam-break and a circular dam-break. Results show that the method has high capacity to catch surge and is suitable for shallow water flow with complex boundaryies.
出处
《水利水运工程学报》
CSCD
北大核心
2006年第1期8-13,共6页
Hydro-Science and Engineering
关键词
非结构网格
复合型格式
非恒定流
二维浅水方程
数值模拟
unstructured grids
composite scheme
unsteady flow
two-dimensional shallow water equations
numerical simulation
