Frequency domain analysis of acoustic wave propagation in heterogeneous media considering iterative coupling procedures between the method of fundamental solutions and Kansa's method |
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Authors: | Delfim Soares Jr. Luís Godinho Andreia Pereira Cleberson Dors |
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Affiliation: | 1. Structural Engineering Department, Federal University of Juiz de Fora, , Cidade Universitária, CEP 36036‐330, Juiz de Fora, Minas Gerais, Brazil;2. CICC, Department of Civil Engineering, University of Coimbra, , 3030‐788 Coimbra, Portugal;3. Department of Civil Engineering, COPPE – Federal University of Rio de Janeiro, , CP 68506,CEP 21945‐970, Rio de Janeiro, Brazil |
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Abstract: | Acoustic wave propagation in heterogeneous media is a topic of significant interest in many areas of science and engineering, including aeroacoustics and sound propagation in oceans. In the present work, numerical frequency domain models based on the joint use of the method of fundamental solutions and of the radial basis function collocation method (also known as Kansa's method) are discussed. In this context, the method of fundamental solutions is used to model the homogeneous part of the propagation domain, while Kansa's method is employed to model the presence of heterogeneities. The coupling between the two parts of the propagation domain is performed iteratively, allowing independent spatial discretization between the different subdomains of the model (i.e. matching collocation points at common surfaces are not necessary). Additionally, an optimised algorithm, based on the use of a varying relaxation parameter, is employed to speed up and/or to ensure the convergence of the iterative coupling process. At the end of the paper, numerical results illustrate the applicability and potentialities of the proposed formulations. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | Acoustics frequency domain analysis iterative coupling Kansa's method method of fundamental solutions |
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