A Study on Boundary Integral Equation for Acoustic Radiation From Axisymmetric Bodies

2000 ◽  
Author(s):  
G. R. Liu ◽  
C. Cai ◽  
H. Zheng ◽  
K. Y. Lam
Keyword(s):  
Integral Equation ◽  
Point Source ◽  
Boundary Integral Equation ◽  
Singular Integral ◽  
Acoustic Radiation ◽  
Wide Frequency Range ◽  
Boundary Integral ◽  
Frequency Range ◽  
Spherical Structure ◽  
Axisymmetric Bodies

Abstract A technique named the RDT (Reproduction of Diagonal Terms) is presented to improve the accuracy and the reliability of Conventional Boundary Integral Equation (CBIE) applied to acoustic radiation from axisymmetric bodies. In CBIE, the higher order singular integral is eliminated by placing a fabricated point source inside the boundary. Numerical results for a spherical structure show that the accuracy is obviously raised up to 10 times at higher frequency upon use of the RDT method, and the CHIEF and improved Burton & Miller methods can work with the technique presented in a wide frequency range with better accuracy.

Iterative Solution of Boundary Element Equations for the Exterior Helmholtz Problem

1990 ◽  
Vol 112 (2) ◽  
pp. 257-262 ◽  
Author(s):  
S. Amini ◽  
Chen Ke ◽  
P. J. Harris
Keyword(s):  
Integral Equation ◽  
Boundary Element ◽  
Boundary Integral Equation ◽  
Acoustic Radiation ◽  
Coupling Parameter ◽  
Practical Interest ◽  
Iterative Solution ◽  
Boundary Integral ◽  
Acoustic Medium ◽  
Finite Structures

In this paper we study an efficient boundary element method for the determination of the acoustic field around arbitrary-shaped finite structures immersed in an infinite homogeneous acoustic medium. The direct boundary integral equation due to Burton and Miller is employed to overcome the nonuniqueness of solution associated with the classical boundary integral formulations of the exterior Helmholtz equation. The choice of the coupling parameter in the Burton and Miller formulation is discussed in order to minimize the condition number of the boundary integral equation. Numerical results are presented for the problem of acoustic radiation from several structures of practical interest.

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