E-CUSP Scheme for the Equations of Magnetothydrodynamics with High Order WENO Scheme
نویسندگان
چکیده
An E-CUSP scheme is developed to solve the equations of magnetothydrodynamics. A fifth order WENO reconstructions are employed to calculate the fluxes in order to achieve high order spacial accuracy. Four standard testing cases, including two one-dimensional problems, the 2D Kelvin-Helmholtz instability and the Orszag-Tang MHD turbulence problem, are solved to validate the accuracy and robustness of the scheme. The 1D Brio-Wu shock tube problem is used to show the capability of capturing the compound waves in MHD. The other 1D problem tested is to demonstrate the robustness for high Mach number flow in MHD. The simulations of two 2D cases have demonstrated the capability of the new scheme to capture complex interactions of multiple shocks and vortices.
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