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	High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
	Wu, Kailiang ; Tang, Huazhong
	2015
关键词	Finite difference scheme Physical-constraints-preserving High-order accuracy Weighted essentially non-oscillatory Relativistic hydrodynamics Lorentz factor EULERIAN GRP SCHEME ESSENTIALLY NONOSCILLATORY SCHEMES DISCONTINUOUS GALERKIN METHODS HYPERBOLIC CONSERVATION-LAWS 2-DIMENSIONAL GAS-DYNAMICS PIECEWISE PARABOLIC METHOD RIEMANN SOLVER NUMERICAL HYDRODYNAMICS EXTRAGALACTIC JETS FLUID-DYNAMICS
英文摘要	The paper develops high-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamical (RHD) equations, built on the local Lax-Friedrichs splitting, the WENO reconstruction, the physical-constraints-preserving flux limiter, and the high-order strong stability preserving time discretization. They are extensions of the positivity-preserving finite difference WENO schemes for the non-relativistic Euler equations [20]. However, developing physical-constraints-preserving methods for the RHD system becomes much more difficult than the non-relativistic case because of the strongly coupling between the RHD equations, no explicit formulas of the primitive variables and the flux vectors with respect to the conservative vector, and one more physical constraint for the fluid velocity in addition to the positivity of the rest-mass density and the pressure. The key is to prove the convexity and other properties of the admissible state set and discover a concave function with respect to the conservative vector instead of the pressure which is an important ingredient to enforce the positivity-preserving property for the non-relativistic case. Several one-and two-dimensional numerical examples are used to demonstrate accuracy, robustness, and effectiveness of the proposed physical-constraints-preserving schemes in solving RHD problems with large Lorentz factor, or strong discontinuities, or low rest-mass density or pressure etc. (C) 2015 Elsevier Inc. All rights reserved.; National Natural Science Foundation of China [91330205, 11421101]; SCI(E); ARTICLE; wukl@pku.edu.cn; hztang@math.pku.edu.cn; 539-564; 298
语种	英语
出处	SCI
出版者	JOURNAL OF COMPUTATIONAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/416083]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Wu, Kailiang,Tang, Huazhong. High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. 2015-01-01.

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