= Entropy stable finite volume scheme for ideal MHD =

The equations of compressible MHD can only be symmetrized by adding terms       containing the divergence of the magnetic field as shown by Godunov. In this    work, we propose sufficient conditions on the numerical flux which leads to an  entropy conservative scheme for the MHD equations. Using this condition we      construct an explicit formula for the numerical flux. An entropy stable scheme  is obtained by adding dissipative flux based on entropy variables. Higher order versions of the entropy stable scheme are constructed and tested for one and    two dimensional problems. The schemes are able to compute discontinuous         solutions in a stable manner. <<BR>>

'''People''': Praveen C, Christian Klingenberg <<BR>>
'''Status''': Completed, article in SINUM