Iterative Convergence of Substructure FMBEM in Sound Field Calculation of Silencer

CUI Xiao-bing,JI Zhen-lin (College of Power and Energy Engineering,Harbin Engineering University,Harbin 150001,China)  

Substructure fast multipole boundary element method combines the fast multipole method,boundary element method and the substructure technology,so that the efficient and accurate calculation of acoustic problems for complex structures will be possible.However,for different models,the iterations become instable or even can not converge,and its application in practical engineering is directly limited.In view of this fact,the iterative convergence characteristics and influencing factors are analyzed for substructure FMBEM according to different plans of matrix composing and preconditioning.Studies show that in addition to taking the appropriate matrix preconditioning,the arrangement orders of unknown column vectors and the node numbers have an important influence on the convergence rate;the computation time per iteration step grows exponentially with the increasing of computation frequency.Finally,the transmission loss of the expansion chamber with extended inlet and outlet ducts is calculated as an example.The accuracy and validity of the method are confirmed by comparing the computation result with the experimental data.

【Fund】： 国家自然科学基金项目(基金编号:10874034)
【CateGory Index】： TB535.2

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