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Numerical Solution of Nonlinear Exterior Wave Problems Using Local Absorbing Boundary Conditions

Igor Patlashenko1, Dan Givoli2
Hummingbird Communications, Toronto, Canada
Department of Aerospace Engineering, Technion, Israel

Computer Modeling in Engineering & Sciences 2000, 1(2), 61-70. https://doi.org/10.3970/cmes.2000.001.221

Abstract

The method of Absorbing Boundary Conditions (ABCs) is considered for the numerical solution of a class of nonlinear exterior wave scattering problems. Recently, a scheme based on the exact nonlocal Dirichlet-to-Neumann (DtN) ABC has been proposed for such problems. Although this method is very accurate, it is also highly expensive computationally. In this paper, the nonlocal ABC is replaced by a low-order local ABC, which is obtained by localizing the DtN condition in a certain "optimal'' way. The performance of the new local scheme is compared to that of the nonlocal scheme via numerical experiments in two dimensions.

Keywords

Exterior problems, Absorbing boundary condition, Unbounded domain, Dirichlet-to-Neumann (DtN), Finite elements.

Cite This Article

Patlashenko, I., Givoli, D. (2000). Numerical Solution of Nonlinear Exterior Wave Problems Using Local Absorbing Boundary Conditions. CMES-Computer Modeling in Engineering & Sciences, 1(2), 61–70.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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