Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models
Application of a discontinuous Galerkin finite element method to special relativistic hydrodynamic models
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DOI：
10.1016/j.camwa.2013.02.021
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发表时间：
2013-04-01
影响因子：
2.9
通讯作者：
Yousaf, Muhammad
中科院分区：
文献类型：
--
作者：
Qamar, Shamsul;Yousaf, Muhammad
提出了一种求解特殊相对论流体动力学方程的龙格-库塔不连续伽辽金（RKDG）有限元方法，并将其作为超相对论流体动力学方程的极限情况。后一种模型是在流体粒子的内能足够大时忽略静质量能而得到的。对SRHD和URHD模型进行了若干测试问题。为了验证，将dg方法的结果与交错中心方案进行了比较。数值结果定性和定量地验证了所提方法的准确性。(C) 2013 Elsevier Ltd.版权所有。
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. (C) 2013 Elsevier Ltd. All rights reserved.