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	Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics
	Zhao, Jian ; Tang, Huazhong
	2013
关键词	Discontinuous Galerkin method WENO limiter Runge-Kutta time discretization Relativistic hydrodynamics FINITE-ELEMENT-METHOD PIECEWISE PARABOLIC METHOD EULERIAN GRP SCHEME CONSERVATION-LAWS RIEMANN SOLVER UNSTRUCTURED MESHES NUMERICAL SCHEME GAS-DYNAMICS EQUATIONS SYSTEMS
英文摘要	This paper develops the P-K-based Runge-Kutta discontinuous Galerkin (RKDG) methods with WENO limiter for the one-and two-dimensional special relativistic hydrodynamics, K = 1, 2, 3, which is an extension of the work [J.X. Qiu, C.-W. Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM J. Sci. Comput. 26 (2005) 907-929]. The WENO limiter for the RKDG method is adaptively implemented via two following steps: the "troubled'' cells are first identified by using a TVB modified minmod function, and then a new polynomial solution inside the "troubled'' cells is locally reconstructed to replace the RKDG solution by using the WENO technique based on the cell average values of the RKDG solution in the neighboring cells as well as the original cell averages of the "troubled'' cells. Several test problems in one and two dimensions are computed using the developed RKDG methods with WENO limiter. The computations demonstrate that our methods are stable, accurate, and robust in maintaining accuracy for simulating flows in the special relativistic hydrodynamics. (C) 2013 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 6; ARTICLE; 138-168; 242
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/223158]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhao, Jian,Tang, Huazhong. Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics. 2013-01-01.

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