A hierarchic p‐version boundary‐element method for axisymmetric acoustic scattering and radiation

1994 ◽  
Vol 95 (5) ◽  
pp. 2320-2329 ◽  
Author(s):  
James J. Grannell ◽  
Joseph J. Shirron ◽  
Luise S. Couchman
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Acoustic Scattering ◽  
Scattering And Radiation ◽  
Element Method

scholarly journals An application of the boundary element method to acoustic scattering of marine organism.

2003 ◽  
Vol 30 (3) ◽  
pp. 206-213 ◽  
Author(s):  
Tsuyoshi OKUMURA ◽  
Toshikazu MASUYA ◽  
Yoshimi TAKAO ◽  
Kouichi SAWADA
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Marine Organism ◽  
Acoustic Scattering ◽  
Element Method

Numerical Integral Independent of Frequency in the Boundary Element Method for Acoustic Scattering

2013 ◽  
Vol 444-445 ◽  
pp. 650-654
Author(s):  
Zai You Yan ◽  
Chuan Zhen Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Acoustic Scattering ◽  
Normal Derivative ◽  
Numerical Results ◽  
New Technique ◽  
Computational Time ◽  
Unknown Variable ◽  
Numerical Integral ◽  
Element Method

Fast algorithm for multi-frequency numerical integration in the simulation of acoustic scattering from rigid object by the boundary element method is presented. Normal derivative of the free-space Greens function is partially approximated with the unknown variable by a set of shape functions. As a result, the numerical integral is independent of frequency and need be calculated only at the first frequency step. Singular integral can be computed using the same procedure as that applied in the conventional boundary element method. Computational efficiency and accuracy of the new technique are demonstrated by an example. Numerical results obtained using the new technique are compared with the corresponding analytical solutions and numerical results obtained using the conventional boundary element method. The new technique works well and saves a lot of computational time in the process of generation of coefficient matrices for multi-frequency analysis.

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