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	An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics
	Han, Jianqiang ; Tang, Huazhong
	2007
关键词	adaptive moving mesh method finite volume method constrained transport magnetohydrodynamics divergence-free HYPERBOLIC CONSERVATION-LAWS FINITE-ELEMENT-METHOD ITERATIVE GRID REDISTRIBUTION CONSTRAINED TRANSPORT METHOD GODUNOV-TYPE SCHEME DIFFERENCE SCHEME SINGULAR PROBLEMS MULTIPLE DIMENSIONS FLOW CALCULATIONS HARMONIC MAPS
英文摘要	This paper presents an adaptive moving mesh algorithm for two-dimensional (2D) ideal magnetohydrodynamics (MHD) that utilizes a staggered constrained transport technique to keep the magnetic field divergence-free. The algorithm consists of two independent parts: MHD evolution and mesh-redistribution. The first part is a high-resolution, divergence-free, shock-capturing scheme on a fixed quadrangular mesh, while the second part is an iterative procedure. In each iteration, mesh points are first redistributed, and then a conservative-interpolation formula is used to calculate the remapped cell-averages of the mass, momentum, and total energy on the resulting new mesh; the magnetic potential is remapped to the new mesh in a non-conservative way and is reconstructed to give a divergence-free magnetic field on the new mesh. Several numerical examples are given to demonstrate that the proposed method can achieve high numerical accuracy, track and resolve strong shock waves in ideal MHD problems, and preserve divergence-free property of the magnetic field. Numerical examples include the smooth Alfven wave problem, 2D and 2.5D shock tube problems, two rotor problems, the stringent blast problem, and the cloud-shock interaction problem. (c) 2006 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 0; ARTICLE; 2; 791-812; 220
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/20.500.11897/250419]
专题	数学科学学院
推荐引用方式 GB/T 7714	Han, Jianqiang,Tang, Huazhong. An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics. 2007-01-01.

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