二维非结构网格的一个TVD型有限体积方法  

A finite volume TVD scheme on the unstructured meshes

作　　者：黄师化[1] 汪继文[1] 李付鹏[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《合肥工业大学学报（自然科学版）》2004年第5期522-525,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省自然科学基金资助项目(03046101)

摘　　要：文章将有关文献提出的有限差分算法应用到有限体积方法中,在无结构任意三角形网格上建立了一种守恒型有限体积的高分辨率算法,该方法简单易行,应用改进后的算法到二维浅水波方程的求解上,进行了二维部分溃坝、圆坝两个算例的数值模拟,模拟结果表明:改进后的算法既有较高的激波捕捉能力,又能处理界面任意复杂的计算问题。The finite-difference total variation diminishing(TVD) scheme in related literature is applied to the finite volume method,and a conservative finite volume high resolution scheme is presented on the unstructured triangular meshes. Two typical problems of 2D shallow water equation are solved by the improved method, including the classical dam break problem and the circular dam break problem. The numerical results show that both the discontinuity problem and the complex geometric boundary problem can be dealt with by the improved method.

关 键 词：有限体积方法 无结构网格 浅水波方程 激波捕捉 

分 类 号：TV131.4[水利工程—水力学及河流动力学]