Spectral-Difference method for magneto-hydro-dynamics
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A key aspect in computational astrophysical fluid dynamics is the need to deliver higher accuracy for longer time integration. Modern computational resources provide massive parallelism that can be leveraged to increase the spatial and time resolution of simulations. They can also prompt the implementation of alternative numerical methods that can better exploit these resources. We present a numerical scheme which combines the Spectral Difference (SD) method up to arbitrary high order with a-posteriori limiting. The method has successfully been implemented for the Euler equations in 3-dimension for Cartesian meshes, and here we present the efforts to enable this method for magneto-hydro-dynamics.
