中国物理B ›› 2019, Vol. 28 ›› Issue (10): 104701-104701.doi: 10.1088/1674-1056/ab3f26
• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇 下一篇
Jia-Xian Qin(秦嘉贤), Ya-Ming Chen(陈亚铭), Xiao-Gang Deng(邓小刚)
Jia-Xian Qin(秦嘉贤), Ya-Ming Chen(陈亚铭), Xiao-Gang Deng(邓小刚)
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.
中图分类号: (Computational methods in fluid dynamics)