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

doi:10.1088/1674-1056/ab3f26

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.

Keywords: compact scheme time stability simultaneous approximation term interface treatment

Received: 06 May 2019
Revised: 26 June 2019
Accepted manuscript online:

PACS:	47.11.-j	(Computational methods in fluid dynamics)
	47.11.Bc	(Finite difference methods)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: 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).

Corresponding Authors: Ya-Ming Chen
E-mail: chenym-08@163.com

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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 2019 Chin. Phys. B 28 104701

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

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