A Runge–Kutta Discontinuous Galerkin Scheme for the Ideal Magnetohydrodynamical Model
A numerical scheme for solving the system of ideal Magnetohydrodynamics (MHD) model, using an explicit high-order Runge–Kutta Discontinuous Galerkin method (RKDG) is proposed. An entropy stable numerical flux introduced in the context of Finite Volume (FV) method in Chandrashekar and Klingenberg (SIAM J Numer Anal, 2016, ) is used in the RKDG scheme. To illustrate the usefulness of the implementation, some specific test cases for the ideal Magnetohydrodynamics model (MHD equations) are shown.
KeywordsIdeal MHD Discontinuous Galerkin Entropy stability
J.P. G.-V. thanks the GRK 1147 and the DAAD STIBET fellowship at the University of Würzburg for their support.
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