Transactions of the Japan Society for Computational Engineering and Science
Online ISSN : 1347-8826
ISSN-L : 1344-9443
Convergence of COCG method applied to finite element sound field analysis of rooms
Noriko OKAMOTOToru OTSURUReiji TOMIKUSeiji FUJINO
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2005 Volume 2005 Pages 20050027

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Abstract
An iterative method, namely COCG (Conjugate Orthogonal Conjugate Gradient) method, is applied to finite element sound field analysis of rooms. First of all, convergence of COCG method applied to finite element sound field analysis of three rooms is investigated from the following viewpoints: (1) sound source frequency; (2) absorption coefficient of a wall; and (3) sound source location. The results show that: (1) A lower frequency engenders faster convergence of COCG method in all rooms. (2) A higher absorption coefficient engenders faster convergence of COCG method except for a small cubic cavity. (3) Convergence of COCG method is affected by the sound source location in rectangular rooms. As an application of the results, we propose efficient parallel computation method using the relationship between frequency and convergence of COCG method. In addition, the results obtained by the numerical experiments for the three rooms are validated on a large-scale room.
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© 2005 The Japan Society For Computational Engineering and Science
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