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

Autor:	Bhoriya, Deepak, Biswas, Biswarup, Kumar, Harish, Chandrashekhar, Praveen
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis Physics - Computational Physics 35L25 35L56 35L75 65M60
Druh dokumentu:	Working Paper
Popis:	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. Comment: Accepted in Journal of Scientific Computing (JOMP)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.09566 Zobrazit plný text záznamu View this record from Arxiv