A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS

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	A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS
	Yang, Xiaobo ; Huang, Weizhang ; Qiu, Jianxian ; Qiu JX(邱建贤)
刊名	http://dx.doi.org/10.1137/110856381
	2012
关键词	ESSENTIALLY NONOSCILLATORY SCHEMES EFFICIENT IMPLEMENTATION FINITE-DIFFERENCE MONITOR FUNCTIONS EQUATIONS ADAPTATION STABILITY FLOW
英文摘要	Joint Ph.D. student training program of the China Scholarship Council; Natural Science Foundation of China [10931004]; National Science Foundation (U.S.A.) [DMS-0712935, DMS-1115118]; ISTCP of China [2010DFR00700]; In this paper, we develop an efficient moving mesh weighted essentially nonoscillatory (WENO) method for one-dimensional hyperbolic conservation laws. The method is based on the quasi-Lagrange approach of the moving mesh strategy in which the mesh is considered to move continuously in time. Several issues arising from the implementation of the scheme, including mesh smoothness, mesh movement restriction, and computation of transformation relations, and their effects on the accuracy of the underlying scheme have been addressed. Particularly, it is found that a least squares smoothing can be used to effectively smooth the mesh, and the transformation relations can be computed using either high order finite differences or WENO applied to some geometric conservation laws. Moreover, mesh movement can cause WENO schemes to become unconditionally unstable. A simple strategy is used to restrict the mesh movement and recover the stability. Numerical results are presented to demonstrate the accuracy and shock-capturing ability of the new scheme.
语种	英语
出版者	Society for Industrial and Applied Mathematics
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66694]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Yang, Xiaobo,Huang, Weizhang,Qiu, Jianxian,et al. A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS[J]. http://dx.doi.org/10.1137/110856381,2012.
APA	Yang, Xiaobo,Huang, Weizhang,Qiu, Jianxian,&邱建贤.(2012).A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS.http://dx.doi.org/10.1137/110856381.
MLA	Yang, Xiaobo,et al."A MOVING MESH WENO METHOD FOR ONE-DIMENSIONAL CONSERVATION LAWS".http://dx.doi.org/10.1137/110856381 (2012).