Open Access

ARTICLE

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

Igor Patlashenko¹, Dan Givoli²

1 Hummingbird Communications, Toronto, Canada
2 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.

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Keywords

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