A Dispersion-Relation-Preserving Upwind Combined Compact Scheme for Convection-diffusion Equations with Variable Coefficients

被引：0

作者：

Zhang, Shouhui ^{[1
,2
]}

Wang, Xuanxin ^{[2
]}

Zhao, Weidong ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan 250022, Shangdong, Peoples R China

来源：

HIGH PERFORMANCE COMPUTING AND APPLICATIONS, HPCA 2015 | 2016年 / 9576卷

关键词：

Combined compact difference; Convection-diffusion equation; Dispersion-relation-preserving; Variable coefficient; Unconditionally stable; FINITE-DIFFERENCE SCHEMES; COMPUTATIONAL ACOUSTICS;

D O I：

10.1007/978-3-319-32557-6_10

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the paper a new dispersion-relation-preserving upwind combined compact difference scheme (DRP-UCCD) to solve a time-dependent convection diffusion equations with variable coefficients is proposed. The developed scheme is constructed by making use of the high-order upwind combined compact difference operators, which can preserve the dispersion relation and enhance the convective stability. The scheme is proved to have the unconditional stability and the error accuracy is six order on space and two order on time. Numerical experiments confirm its high efficiency.

引用

页码：100 / 112

页数：13

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