Tracking entropy wave in ideal MHD equations by weighted ghost fluid method

The present paper is devoted to the computation of 1D magnetohydrodynamics (MHD) equations. We use a level set function to track the motion of the interface of the entropy wave. In addition, by considering a convex combination of the entropy-fixed ghost value and the density-fixed ghost value, the ghost fluid method (GFM) for multimaterial flows is extended. The resulting weighted ghost fluid method (WGFM) is combined with the fourth-order CWENO-type central-upwind scheme for approximating the numerical solution of 1D MHD equations in the real fluid and the ghost fluid. Computational results are eventually provided and discussed.