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	A DIRECT EULERIAN GRP SCHEME FOR SPHERICALLY SYMMETRIC GENERAL RELATIVISTIC HYDRODYNAMICS
	Wu, Kailiang ; Tang, Huazhong
	2016
关键词	spherically symmetric general relativistic hydrodynamics Codunov-type scheme generalized Riemann problem Riemann problem Riemann invariant Rankine-Hugoniot jump condition COMPRESSIBLE FLUID-FLOWS RIEMANN PROBLEM EQUATIONS CODE SIMULATION SOLVER LAWS
英文摘要	The paper proposes a second-order accurate direct Eulerian generalized Riemann problem (GRP) scheme for the spherically symmetric general relativistic hydrodynamical (RHD) equations and a second-order accurate discretization for the spherically symmetric Einstein (SSE) equations. The former is directly using the Riemann invariants and the Runkine-Hugoniot jump conditions to analytically resolve the left and right nonlinear waves of the local GRP in the Eulerian formulation together with the local change of the metrics to obtain the limiting values of the time derivatives of the conservative variables along the cell interface and the numerical flux for the GRP scheme, while the latter utilizes the energy-momentum tensor obtained in the GRP solver to evaluate the fluid variables in the SSE equations and keeps the continuity of the metrics at the cell interfaces. Several numerical experiments show that the GRP scheme can achieve second-order accuracy and high resolution and is effective for spherically symmetric general RHD problems.; National Natural Science Foundation of China [91330205, 11421101]; SCI(E); EI; ARTICLE; wukl@pku.edu.cn; hztang@pku.edu.cn; 3; B458-B489; 38
语种	英语
出处	SCI ; EI
出版者	SIAM JOURNAL ON SCIENTIFIC COMPUTING
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/494881]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wu, Kailiang,Tang, Huazhong. A DIRECT EULERIAN GRP SCHEME FOR SPHERICALLY SYMMETRIC GENERAL RELATIVISTIC HYDRODYNAMICS. 2016-01-01.

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