An efficient technique for the indirect BEM for multi-frequency acoustic analysis using Green's function approximation

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We present an efficient technique for multi-frequency acoustic analysis by the variational indirect boundary element method. The system coefficient matrix of the boundary element method is frequency dependent and requires cumbersome computation in multi-frequency acoustic analysis. To eliminate the frequency dependency of a system coefficient matrix of the boundary element method, the free space Green's function is approximated using Taylor series. Unlike the existing Taylor series expansion method, the present technique deals with the approximated series of the Green's function using matrix decomposition and multiplication. For multi-frequency acoustic analysis, the coefficient matrix of the frequency independent system is calculated only at the first frequency; from the remaining frequencies, it is calculated as the product of the wave number matrix and the frequency independent coefficient matrix at the first frequency. The efficiency of the present technique is demonstrated through numerical examples. The results are compared with those of the conventional indirect method and the existing series expansion method by Wang.
Publisher
KOREAN SOC MECHANICAL ENGINEERS
Issue Date
2018-05
Language
English
Article Type
Article
Keywords

BOUNDARY-ELEMENT METHOD

Citation

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, v.32, no.5, pp.1965 - 1973

ISSN
1738-494X
DOI
10.1007/s12206-018-0404-5
URI
http://hdl.handle.net/10203/242470
Appears in Collection
ME-Journal Papers(저널논문)
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