Water wave propagation in unbounded domains. Part I: Nonreflecting boundaries

被引：3
|
作者：
Jennings, G. I. [1 ]
Karni, S. [1 ]
Rauch, J. B. [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 276卷
关键词：
Nonreflecting boundary conditions; Fluid dynamics; Incompressible flow; Water waves; EQUATIONS;
D O I：
10.1016/j.jcp.2014.02.032
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper concerns non-reflecting boundary conditions for linearized 2D incompressible, irrotational, inviscid free surface flows in deep water. The linearization at flat water of the water wave equation is factored as a product of one-way equations. The one-way factors involve a nonlocal half derivative in space. They serve to construct essentially non-reflective and absorbing layers. The one way nature of the equation prevents errors at the boundary from propagating back and polluting the solution in the interior of the domain. Two versions of the one-way equations are discussed, with and without additional wave damping. Numerical results are presented. (C) 2014 Elsevier Inc. All rights reserved.
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页码：729 / 739
页数：11
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