High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers

Chen, Wei1; Wu, Kailiang2,3; Xiong, Tao4

2023-09-01

10.1016/j.jcp.2023.112240

JOURNAL OF COMPUTATIONAL PHYSICS   影响因子和分区

0021-9991

1090-2716

In this paper, a high-order semi-implicit (SI) asymptotic preserving (AP) and divergencefree finite difference weighted essentially nonoscillatory (WENO) scheme is proposed for magnetohydrodynamic (MHD) equations. We consider the sonic Mach number & epsilon; ranging from 0 to O(1). High-order accuracy in time is obtained by SI implicit-explicit Runge-Kutta (IMEX-RK) time discretization. High-order accuracy in space is achieved by finite difference WENO schemes with characteristic-wise reconstructions. A constrained transport method is applied to maintain a discrete divergence-free condition. We formally prove that the scheme is AP. Asymptotic accuracy (AA) in the incompressible MHD limit is obtained if the implicit part of the SI IMEX-RK scheme is stiffly accurate. Numerical experiments are provided to validate the AP, AA, and divergence-free properties of our proposed approach. Besides, the scheme can well capture discontinuities such as shocks in an essentially nonoscillatory fashion in the compressible regime, while it is also a good incompressible solver with uniform large-time step conditions in the low sonic Mach limit.& COPY; 2023 Elsevier Inc. All rights reserved.

All sonic Mach number MHD equations Divergence-free Asymptotic preserving SI IMEX-RK Finite difference WENO

SCI ; EI

英语

其他

National Key Ramp;D Program of China[2022YFA1004502] ; NSFC[11971025] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA25010401] ; National Natural Science Foundation of China[12171227] ; Shenzhen Science and Technology Program[RCJC20221008092757098]

Computer Science ; Physics

Computer Science, Interdisciplinary Applications ; Physics, Mathematical

WOS:001015114500001

ACADEMIC PRESS INC ELSEVIER SCIENCE

20232314195832

Aerodynamics ; Incompressible flow ; Magnetohydrodynamics

Magnetohydrodynamics (MHD) Power Generation:615.3 ; Aerodynamics, General:651.1 ; Mechanical Variables Measurements:943.2

PHYSICS

Web of Science

1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China
3.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Natl Ctr Appl Math Shenzhen NCAMS, Shenzhen 518055, Guangdong, Peoples R China
4.Xiamen Univ, Sch Math Sci, Fujian Prov Key Lab Math Modeling & High Performan, Xiamen 361005, Fujian, Peoples R China

Chen, Wei,Wu, Kailiang,Xiong, Tao. High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,488.

Chen, Wei,Wu, Kailiang,&Xiong, Tao.(2023).High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers.JOURNAL OF COMPUTATIONAL PHYSICS,488.

Chen, Wei,et al."High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers".JOURNAL OF COMPUTATIONAL PHYSICS 488(2023).