Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models

作者：Qamar Shamsul^*; Yousaf Muhammad

来源：Computers & Mathematics with Applications, 2013, 65(8): 1220-1232.

DOI：10.1016/j.camwa.2013.02.021

• Special relativistic hydrodynamics
• Conservation laws
• Discontinuous solutions
• Discontinuous Galerkin method
• Runge-Kutta method

A Runge-Kutta discontinuous Galerkin (RKDG) finite element method is proposed for solving the special relativistic hydrodynamic (SRHD) equations and as a limiting case the ultra-relativistic hydrodynamic (URHD) equations. The latter model is obtained by ignoring the rest-mass energy when the internal energy of fluid particles is sufficiently large. Several test problems of SRHD and URHD models are carried out. For validation, the results of DG-method are compared with the staggered central scheme. The numerical results verify the accuracy of the proposed method qualitatively and quantitatively.

• 出版日期2013-4