This article proposes entropy stable discontinuous Galerkin schemes (DG) for two-fluid relativistic plasma flow equations. These equations couple the flow of relativistic fluids via electromagnetic quantities evolved using Maxwell's equations. The proposed schemes are based on the Gauss-Lobatto quadrature rule, which has the summation by parts (SBP) property. We exploit the structure of the equations having the flux with three independent parts coupled via nonlinear 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 in an entropy stable scheme for the complete system. The proposed schemes are then tested on various test problems in one and two dimensions to demonstrate their accuracy and stability.

翻译：本文针对双流体相对论等离子体流动方程组提出了熵稳定间断伽辽金格式（DG）。这些方程通过麦克斯韦方程演化的电磁量耦合了相对论流体的流动。所提出的格式基于具有分部求和（SBP）性质的高斯-洛巴托求积规则。我们利用方程的结构，其通量包含三个独立部分，并通过非线性源项进行耦合。针对每个通量部分，我们设计了熵稳定DG格式，并结合源项不影响熵的事实，得到了整个系统的熵稳定格式。随后，我们在一维和二维的各种测试问题上对所提出的格式进行了验证，以证明其精度和稳定性。