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Volume 12, Issue 6
Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain

Fengru Wang, Jerry Zhijian Yang & Cheng Yuan

Adv. Appl. Math. Mech., 12 (2020), pp. 1384-1415.

Published online: 2020-09

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  • Abstract

This paper presents an absorbing boundary conditions (ABCs) for wave propagations on arbitrary computational domains. The purpose of ABCs is to eliminate the unwanted spurious reflection at the artificial boundaries and minimize the finite size effect. Traditional methods are usually complicate in theoretical derivation and implementation and work only for very limited types of boundary geometry. In contrast to other existing methods, our emphasis is placed on the ease of implementation. In particular, we propose a method for which the implementation can be done by fitting or learning from the simulation data in a larger domain, and it is insensitive to the geometry and space dimension of the computational domain. Furthermore, a stability criterion is imposed to ensure the stability of the proposed ABC. Numerical results are presented to demonstrate the effectiveness of our method.

  • AMS Subject Headings

60J05, 62J07, 35L05, 35L20

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COPYRIGHT: © Global Science Press

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@Article{AAMM-12-1384, author = {Wang , FengruZhijian Yang , Jerry and Yuan , Cheng}, title = {Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {12}, number = {6}, pages = {1384--1415}, abstract = {

This paper presents an absorbing boundary conditions (ABCs) for wave propagations on arbitrary computational domains. The purpose of ABCs is to eliminate the unwanted spurious reflection at the artificial boundaries and minimize the finite size effect. Traditional methods are usually complicate in theoretical derivation and implementation and work only for very limited types of boundary geometry. In contrast to other existing methods, our emphasis is placed on the ease of implementation. In particular, we propose a method for which the implementation can be done by fitting or learning from the simulation data in a larger domain, and it is insensitive to the geometry and space dimension of the computational domain. Furthermore, a stability criterion is imposed to ensure the stability of the proposed ABC. Numerical results are presented to demonstrate the effectiveness of our method.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0294}, url = {http://global-sci.org/intro/article_detail/aamm/18293.html} }
TY - JOUR T1 - Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain AU - Wang , Fengru AU - Zhijian Yang , Jerry AU - Yuan , Cheng JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1384 EP - 1415 PY - 2020 DA - 2020/09 SN - 12 DO - http://doi.org/10.4208/aamm.OA-2019-0294 UR - https://global-sci.org/intro/article_detail/aamm/18293.html KW - Absorbing boundary condition, wave equations, stability conditions. AB -

This paper presents an absorbing boundary conditions (ABCs) for wave propagations on arbitrary computational domains. The purpose of ABCs is to eliminate the unwanted spurious reflection at the artificial boundaries and minimize the finite size effect. Traditional methods are usually complicate in theoretical derivation and implementation and work only for very limited types of boundary geometry. In contrast to other existing methods, our emphasis is placed on the ease of implementation. In particular, we propose a method for which the implementation can be done by fitting or learning from the simulation data in a larger domain, and it is insensitive to the geometry and space dimension of the computational domain. Furthermore, a stability criterion is imposed to ensure the stability of the proposed ABC. Numerical results are presented to demonstrate the effectiveness of our method.

Fengru Wang, Jerry Zhijian Yang & Cheng Yuan. (2020). Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain. Advances in Applied Mathematics and Mechanics. 12 (6). 1384-1415. doi:10.4208/aamm.OA-2019-0294
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