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Iterative Convergence of Substructure FMBEM in Sound Field Calculation of Silencer
Cui Xiao-Bing;zhenlin ji
2011, 31(1):
145-148.
Substructure fast multipole boundary element method combined the fast multipole method, boundary element method and the substructure technology, so that the efficient and accurate calculation of acoustic problems for complex structure became possible. However, for different models, the iterations became instable or even can not converge, and the application in practical engineering was limited directly. In view of this fact, for substructure FMBEM, the iterative convergence characteristics and influencing factors were analyzed according to the different plan of matrix composing and preconditioning. Studies had shown that, in addition to taking the appropriate matrix preconditioning, the arrangement order of unknown column vector and the node number had an important influence on the rate of convergence; the computational time per iteration step was exponential growth as the frequency increasing. In addition, the transmission loss of the expansion chamber with extended inlet and outlet ducts was calculated as an example, the accuracy and validity of the method were confirmed by comparing with the experimental data.
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