A CLASS OF COMPACT UPWIND TVD DIFFERENCE SCHEMES

被引：0

作者：

涂国华 ^{[1
]}

袁湘江 ^{[1
]}

夏治强 ^{[2
]}

呼振 ^{[3
]}

机构：

[1] China Aerodynamics Research and Development Center Mianyang ,Sichuan Province,P R China National CFD Laboratory,Beijing ,P R China

[2] Center for Information Analysis Research Institute of Chemical Defense,Beijing ,P R China

[3] School of Software Engineering Tongji University,Shanghai ,P R China

来源：

Applied Mathematics and Mechanics(English Edition) | 2006年 / 06期

关键词：

high-order difference schemes; compact schemes; TVD schemes; shock-vortex; shock-boundary;

D O I：

暂无

中图分类号：

V211.3 [计算空气动力学];

学科分类号：

0801 ; 080103 ; 080104 ;

摘要：

<正>A new method was proposed for constructing total variation diminishing (TVD) upwind schemes in conservation forms. Two limiters were used to prevent non-physical oscillations across discontinuity. Both limiters can ensure the nonlinear compact schemes TVD property. Two compact TVD (CTVD) schemes were tested, one is third-order accuracy, and the other is fifth-order. The performance of the numerical algorithms was assessed by one-dimensional complex waves and Riemann problems, as well as a two-dimensional shock-vortex interaction and a shock-boundary flow interaction. Numerical results show their high-order accuracy and high resolution, and low oscillations across discontinuities.

引用

页码：765 / 772

页数：8