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	Steger-Warming flux vector splitting method for special relativistic hydrodynamics
	Zhao, Jian ; He, Peng ; Tang, Huazhong
	2014
关键词	homogeneity property flux vector splitting conservation law relativistic hydrodynamics PIECEWISE PARABOLIC METHOD SHOCK-CAPTURING SCHEMES RIEMANN SOLVER FLOWS SIMULATIONS DYNAMICS
英文摘要	This paper discusses the properties of the rotational invariance and hyperbolicity in time of the governing equations of the ideal special relativistic hydrodynamics and proves for the first time that the ideal relativistic hydrodynamical equations satisfy the homogeneity property, which is the footstone of the Steger-Warming flux vector splitting method [J. L. Steger and R. F. Warming, J. Comput. Phys., 40(1981), 263-293]. On the basis of this remarkable property, the Steger-Warming flux vector splitting (SW-FVS) is given. Two high-resolution SW-FVS schemes are also given on the basis of the initial reconstructions of the solutions and the fluxes, respectively. Several numerical experiments are conducted to validate the performance of the SW-FVS method. Copyright (c) 2013 John Wiley & Sons, Ltd.; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; hztang@math.pku.edu.cn; 7; 1003-1018; 37
语种	英语
出处	EI ; SCI
出版者	mathematical methods in the applied sciences
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157343]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhao, Jian,He, Peng,Tang, Huazhong. Steger-Warming flux vector splitting method for special relativistic hydrodynamics. 2014-01-01.

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