A NUMERICAL STUDY FOR THE PERFORMANCE OF THE WENO SCHEMES BASED ON DIFFERENT NUMERICAL FLUXES FOR THE SHALLOW WATER EQUATIONS

被引：0

作者：

Changna Lu College of Mathematics and PhysicsNanjing University of Information Science and Technology Nanjing China Jianxian Qiu Department of MathematicsNanjing UniversityNanjing China Ruyun Wang College of OceanHohai UniversityNanjingJiangsu PRChina ^{[210044
,210093
,210098
]}

机构：

来源：

Journal of Computational Mathematics | 2010年 / 28卷 / 06期

关键词：

Numerical flux; WENO finite volume scheme; Shallow water equations; High order accuracy; Approximate Riemann solver; Runge-Kutta time discretization;

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

070102 ;

摘要：

<正> In this paper we investigate the performance of the weighted essential non-oscillatory(WENO) methods based on different numerical fluxes,with the objective of obtainingbetter performance for the shallow water equations by choosing suitable numerical fluxes.We consider six numerical fluxes,i.e.,Lax-Friedrichs,local Lax-Friedrichs,Engquist-Osher,Harten-Lax-van Leer,HLLC and the first-order centered fluxes,with the WENO finitevolume method and TVD Runge-Kutta time discretization for the shallow water equations.The detailed numerical study is performed for both one-dimensional and two-dimensionalshallow water equations by addressing the issues of CPU cost,accuracy,non-oscillatoryproperty,and resolution of discontinuities.

引用

页码：807 / 825

页数：19

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