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This article proposes entropy stable discontinuous Galerkin schemes (DG) fortwo-fluid relativistic plasma flow equations. These equations couple the flowof relativistic fluids via electromagnetic quantities evolved using Maxwell'sequations. The proposed schemes are based on the Gauss-Lobatto quadrature rule,which has the summation by parts (SBP) property. We exploit the structure ofthe equations having the flux with three independent parts coupled vianonlinear source terms. We design entropy stable DG schemes for each flux part,coupled with the fact that the source terms do not affect entropy, resulting inan entropy stable scheme for the complete system. The proposed schemes are thentested on various test problems in one and two dimensions to demonstrate theiraccuracy and stability.

Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations