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

作     者：Jia-Xian Qin Ya-Ming Chen Xiao-Gang Deng 秦嘉贤;陈亚铭;邓小刚

作者机构：College of Aerospace Science and Engineering National University of Defense Technology 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2019年第28卷第10期

页      面：408-416页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11601517) the Basic Research Foundation of National University of Defense Technology(Grant No.ZDYYJ-CYJ20140101) 

主　　题：compact scheme time stability simultaneous approximation term interface treatment 

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 *** experiments show that the proposed scheme is stable and achieves the design seventh-order convergence rate.