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

doi:10.1088/1674-1056/ab3f26

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

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

Jia-Xian Qin(秦嘉贤), Ya-Ming Chen(陈亚铭), Xiao-Gang Deng(邓小刚)

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

收稿日期:2019-05-06 修回日期:2019-06-26 出版日期:2019-10-05 发布日期:2019-10-05
通讯作者: Ya-Ming Chen E-mail:chenym-08@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11601517) and the Basic Research Foundation of National University of Defense Technology (Grant No. ZDYYJ-CYJ20140101).

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

Jia-Xian Qin(秦嘉贤), Ya-Ming Chen(陈亚铭), Xiao-Gang Deng(邓小刚)

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

Received:2019-05-06 Revised:2019-06-26 Online:2019-10-05 Published:2019-10-05
Contact: Ya-Ming Chen E-mail:chenym-08@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11601517) and the Basic Research Foundation of National University of Defense Technology (Grant No. ZDYYJ-CYJ20140101).

摘要/Abstract

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.

关键词: compact scheme, time stability, simultaneous approximation term, interface treatment

Abstract: 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.

Key words: compact scheme, time stability, simultaneous approximation term, interface treatment

中图分类号: (Computational methods in fluid dynamics)

47.11.-j

47.11.Bc (Finite difference methods) 02.60.Cb (Numerical simulation; solution of equations)

秦嘉贤, 陈亚铭, 邓小刚. Stabilized seventh-order dissipative compact scheme for two-dimensional Euler equations[J]. 中国物理B, 2019, 28(10): 104701-104701.

Jia-Xian Qin(秦嘉贤), Ya-Ming Chen(陈亚铭), Xiao-Gang Deng(邓小刚). Stabilized seventh-order dissipative compact scheme for two-dimensional Euler equations[J]. Chin. Phys. B, 2019, 28(10): 104701-104701.

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

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

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