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	Solution of the shallow-water equations using an adaptive moving mesh method
	Tang, HZ
	2004
关键词	shallow water equations kinetic flux-vector splitting scheme adaptive grid method surface gradient method HYPERBOLIC CONSERVATION-LAWS FINITE-ELEMENT-METHOD SOURCE TERMS HARMONIC MAPS SCHEME DIMENSIONS FLOW
英文摘要	This paper extends an adaptive moving mesh method to multi-dimensional shallow water equations (SWE) with source terms. The algorithm is composed of two independent parts: the SWEs evolution and the mesh redistribution. The first part is a high-resolution kinetic flux-vector splitting (KFVS) method combined with the surface gradient method for initial data reconstruction, and the second part is based on an iteration procedure. In each iteration, meshes are first redistributed by a variational principle and then the underlying numerical solutions are updated by a conservative-interpolation formula on the resulting new mesh. Several test problems in one- and two-dimensions with a general geometry are computed using the proposed moving mesh algorithm. The computations demonstrate that the algorithm is efficient for solving problems with bore waves and their interactions. The solutions with higher resolution can be obtained by using a KFVS scheme for the SWEs with a much smaller number of grid points than the uniform mesh approach, although we do not treat technically the bed slope source terms in order to balance the source terms and flux gradients. Copyright (C) 2004 John Wiley Sons, Ltd.; Computer Science, Interdisciplinary Applications; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; 14; ARTICLE; 7; 789-810; 44
语种	英语
出处	EI ; SCI
出版者	international journal for numerical methods in fluids
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158001]
专题	数学科学学院
推荐引用方式 GB/T 7714	Tang, HZ. Solution of the shallow-water equations using an adaptive moving mesh method. 2004-01-01.

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