Absorbing boundary condition for scalar-wave propagation problems in infinite media based on a root-finding algorithm

In this study, we propose a new approach for development of absorbing boundary conditions for scalar-wave propagation problems in infinite media based on a root-finding algorithm for the solution of the exact wave dispersion relation. We select the Newton–Raphson method as the root-finding algorithm...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 330; pp. 207 - 219
Main Authors: Lee, Jin Ho, Tassoulas, John L.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.03.2018
Elsevier BV
Subjects:
Absorbing boundary condition
Algorithms
Boundary conditions
Dispersion
Infinite medium
Mathematical models
Newton-Raphson method
Numerical analysis
Propagation
Reflectance
Root-finding absorbing boundary condition (RFABC)
Root-finding algorithm
Scalar wave
Stability analysis
Wave dispersion
Wave propagation
Root-finding absorbing boundary condition (RFABC)
Root-finding algorithm
Wave propagation
Infinite medium
Scalar wave
Absorbing boundary condition
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:In this study, we propose a new approach for development of absorbing boundary conditions for scalar-wave propagation problems in infinite media based on a root-finding algorithm for the solution of the exact wave dispersion relation. We select the Newton–Raphson method as the root-finding algorithm in the present study and assess the accuracy of the newly developed boundary condition by estimating its reflection coefficient. Furthermore, we evaluate and verify the stability of the boundary condition. We apply our development to various scalar-wave propagation problems and demonstrate that the proposed approach leads to accurate and stable computations. •New boundary conditions are proposed for unbounded domains to absorb scalar waves.•A root-finding algorithm for the solution of exact dispersion relation is utilized.•In the present study, we select the Newton–Raphson method as the algorithm.•We assess the accuracy of the new boundary condition and verify its stability.•We demonstrate that the proposed approach leads to accurate and stable computations.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2017.10.024