Open Access

ARTICLE

Iterative Coupling Between the TBEM and the MFS Part I - AcousticWave Propagation

by António Tadeu¹, Julieta António¹, Patrícia Ferreira³

1 Corresponding author. E-mail address: tadeu@itecons.uc.pt Tel. + 351 239 798 921 Fax: + 351 239 798 939
2 CICC, Department of Civil Engineering, Faculty of Sciences and Technology, University of Coimbra, Rua Luís Reis Santos - Pólo II da Universidade, 3030-788 Coimbra, Portugal
3 ITeCons, Rua Pedro Hispano and Pólo II da Universidade, 3030-289 Coimbra, Portugal

Computer Modeling in Engineering & Sciences 2013, 91(3), 153-176. https://doi.org/10.3970/cmes.2013.091.153

Abstract

This paper presents an iterative coupling between a formulation based on the normal derivative of the integral equation (TBEM) and the method of fundamental solutions (MFS) for the transient analysis of acoustic wave propagation problems in the presence of multiple inclusions. The proposed formulation overcomes the individual limitations of each method, requires less computer memory and may use less CPU time than a full direct coupling formulation scheme. In the proposed formulation each inclusion is solved individually, successively, using the TBEM or the MFS and scatters a field that it is seen as an incident field at each of the other inclusions. The iterative process is stopped when the field scattered by each individual inclusion is negligible. The final solution is the sum of all the scattered field contributions. The inclusions are coupled by imposing the required boundary conditions. The accuracy of the proposed algorithms, using different numbers of inclusions, is verified by comparing the solutions against reference solutions established by solving a full coupling system. The applicability of the proposed method is shown by simulating the acoustic behavior of a set of rigid acoustic screens in the vicinity of a dome.

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Keywords

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