A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case
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DOI：
10.1016/j.jcp.2011.07.004
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Zhicheng Yang;Peng He;Huazhong Tang
中科院分区：
文献类型：
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作者：
Zhicheng Yang;Peng He;Huazhong Tang
该论文提出了用于一维相对论流体动力学的直接欧拉广义黎曼问题（GRP）方案。它是 [M.本-阿齐，J.Q. Li, G. Warnecke，可压缩流体流动的直接欧拉 GRP 方案，J. Comput。物理。 218（2006）19-43]。欧拉公式中直接使用黎曼不变量和Rankine-Hugoniot跳跃条件两个主要成分来求解局部GRP，从而避免了原始GRP方案[3]中关键而微妙的拉格朗日处理。给出了几个数值例子来证明所提出的 GRP 方案的准确性和有效性。
The paper proposes a direct Eulerian generalized Riemann problem (GRP) scheme for one-dimensional relativistic hydrodynamics. It is an extension of the Eulerian GRP scheme for compressible non-relativistic hydrodynamics proposed in [M. Ben-Artzi, J.Q. Li, G. Warnecke, A direct Eulerian GRP scheme for compressible fluid flows, J. Comput. Phys. 218 (2006) 19–43]. Two main ingredients, the Riemann invariant and the Rankine–Hugoniot jump condition, are directly used to resolve the local GRP in the Eulerian formulation, and thus the crucial and delicate Lagrangian treatment in the original GRP scheme [3] can be avoided. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed GRP scheme.