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