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- W4377246794 abstract "In this paper, a high-order semi-implicit (SI) asymptotic preserving (AP) and divergence-free finite difference weighted essentially nonoscillatory (WENO) scheme is proposed for magnetohydrodynamic (MHD) equations. We consider the sonic Mach number $varepsilon$ ranging from $0$ to $mathcal{O}(1)$. 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 non-oscillatory 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." @default.
- W4377246794 created "2023-05-23" @default.
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- W4377246794 date "2023-09-01" @default.
- W4377246794 modified "2023-10-10" @default.
- W4377246794 title "High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers" @default.
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- W4377246794 doi "https://doi.org/10.1016/j.jcp.2023.112240" @default.
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