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	Exact boundary condition for time-dependent wave equation based on boundary integral
	Teng, ZH
	2003
关键词	wave equation non-reflecting boundary condition unbounded domain numerical methods artificial boundary condition boundary integral equation
英文摘要	An exact non-reflecting boundary conditions based on a boundary integral equation or a modified Kirchhoff-type formula is derived for exterior three-dimensional wave equations. The Kirchhoff-type non-reflecting boundary condition is originally proposed by L. Ting and M.J. Miksis [J. Acoust. Soc. Am. 80 (1986) 1825] and numerically tested by D. Givoli and D. Cohen [J. Comput. Phys. 117 (1995) 102] for a spherically symmetric problem. The computational advantage of Ting-Miksis boundary condition is that its temporal non-locality is limited to a fixed amount of past information.. However, a long-time instability is exhibited in testing numerical solutions by using a standard nondissipative finite-difference scheme. The main purpose of this work is to present a new exact boundary condition and to eliminate the long-time instability.. The proposed exact boundary condition can be considered as a limit case of Ting-Miksis boundary condition when the two artificial boundaries used in their method approach each other. Our boundary condition is actually a boundary integral equation on a single artificial boundary for wave equations, which is to be solved in conjunction with the interior wave equation. The new boundary condition needs only one artificial boundary, which can be of any shape, i.e., sphere, cubic surface, etc. It keeps all merits of the original Kirchhoff boundary condition such as restricting the temporal non-locality, free of numerical evaluation of any special functions and so on. Numerical approximation to the artificial boundary condition on cubic surface is derived and three-dimensional numerical tests are carried out on the cubic computational domain. (C) 2003 Elsevier Science B.V. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 0; ARTICLE; 2; 398-418; 190
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/20.500.11897/255710]
专题	数学科学学院
推荐引用方式 GB/T 7714	Teng, ZH. Exact boundary condition for time-dependent wave equation based on boundary integral. 2003-01-01.

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