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Frequency domain analysis of acoustic wave propagation in heterogeneous media considering iterative coupling procedures between the method of fundamental solutions and Kansa's method
Author(s) -
Soares Delfim,
Godinho Luís,
Pereira Andreia,
Dors Cleberson
Publication year - 2011
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3274
Subject(s) - discretization , collocation (remote sensing) , frequency domain , computer science , convergence (economics) , context (archaeology) , relaxation (psychology) , iterative method , method of fundamental solutions , wave propagation , coupling (piping) , mathematical optimization , mathematics , finite element method , algorithm , mathematical analysis , singular boundary method , boundary element method , physics , thermodynamics , economic growth , engineering , biology , psychology , paleontology , social psychology , quantum mechanics , machine learning , computer vision , mechanical engineering , economics
SUMMARY 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.