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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… (More)

- Yiqing Shen, Gecheng Zha, Manuel A. Huerta
- J. Comput. Physics
- 2012

An E-CUSP (energy-convective upwind and split pressure) scheme is developed to solve the equations of magnetohydrodynamics. Fifth order WENO reconstructions are employed to calculate the fluxes in order to achieve high order spacial accuracy. A characteristic speed of sound by averaging the fast wave speed and the acoustic speed of sound is suggested to… (More)

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