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

  title={High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers},
  author={Wei Chen and Kailiang Wu and Tao Xiong},
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… 



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