Diagonal form fast multipole boundary element method for 2D acoustic problems ba

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9QxgW@tZB%u0Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications水利论文B u\c6n8ome y W

#n+KYQ(D+~NH5H3H0Abstract:This paper describes formulation and implementation of the fast multipole boundary element method (FMBEM) for 2D acoustic problems.The kernel function expansion theory is summarized,and four building blocks of the FMBEM are described in details.They are moment calculation,moment to moment translation,moment to local translation,and local to local translation.A data structure for the quad-tree construction is proposed which can facilitate implementation.An analytical moment expression is derived,which is more accurate,stable,and efficient than direct numerical computation.Numerical examples are presented to demonstrate the accuracy and efficiency of the FMBEM,and radiation of a 2D vibration rail mode is simulated using the FMBEM.水利论文#E+w2lH\TSDM}-U

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Hai-jun WU[1] Wei-kang JIANG[1] Y.J.LIU[2]水利论文1Yb)i;mWU-v;J

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作者单位:

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State Key Laboratory of Machinery System and Vibration, Shanghai Jiao Tong University,Shanghai 200240, P. R. ChinaMechanical Engineering, University of Cincinnati, Cincinnati,Ohio 45221-0072, USA水利论文I/C7W1Wz

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B8[DRRbC"N9kf0Applied Mathematics and Mechanics水利论文Kfz _yT?

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2011, 32(8)

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R4Uc"DiM~kS02D acoustic wave problem

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Z n8x+m|eL g ~0Helmholtz equation水利论文 c~X@+x

9A&V%e@9`2V0v0fast multipole method水利论文 rOV)?"Qr

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boundary element method水利论文Iy8KVu)zbW.k

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2I1I2f Ys`8k6O1g*SX0boundary integral equation based problems boundary element method fast translation implementation kernel function building blocks data structure theory paper four水利论文[MwS}^ X_${

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