Stabilized seventh-order dissipative compact scheme for two-dimensional Euler equations

被引：0
|
作者：
秦嘉贤 [1 ]
陈亚铭 [1 ]
邓小刚 [1 ]
机构：
[1] College of Aerospace Science and Engineering, National University of Defense Technology
来源：
Chinese Physics B | 2019年 / 10期
基金：
中国国家自然科学基金;
关键词：
compact scheme; time stability; simultaneous approximation term; interface treatment;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
070102 ;
摘要：
We derive in this paper a time stable seventh-order dissipative compact finite difference scheme with simultaneous approximation terms(SATs) for solving two-dimensional Euler equations. To stabilize the scheme, the choice of penalty coefficients for SATs is studied in detail. It is demonstrated that the derived scheme is quite suitable for multi-block problems with different spacial steps. The implementation of the scheme for the case with curvilinear grids is also discussed.Numerical experiments show that the proposed scheme is stable and achieves the design seventh-order convergence rate.
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页码：412 / 420
页数：9
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