A Test of the Capabilities of CHIEF in the Numerical Calculation of Acoustic Radiation from Arbitrary Surfaces

Buren, Van

doi:10.21236/ad0716019

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“…The MLF formulation (Zaman, 1993(Zaman, , 1994 has been applied to regular axisymmetric bodies as test problems with promising numerical results and its engineering feasibility is still being looked at. There are many papers (Burton and Miller, 1971;Wilton, 1974;Wait, 1973;Van Buren, 1970;Brebbia et al, 1991;Bannerjee and Butterfield, 1981;Ingber and Hickox, 1992) dealing with the feasibilities of other formulations. Atkinson (1976) gives a very useful survey of numerical methods for the solution of boundary integral formulations.…”

Section: Resultsmentioning

confidence: 99%

A Comprehensive Review of Boundary Integral Formulations of Acoustic Scattering Problems

Zaman

2000

SQU Journal for Science

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This is a review presenting an overview of the developments in boundary integral formulations of the acoustic scattering problems. Generally, the problem is formulated in one of two ways viz. Green’s representation formula, and the Layer-theoretic formulation utilizing either a simple-layer or a double-layer potential. The review presents and expounds the major contributions in this area over the last four decades. The need for a robust and improved formulation of the exterior scattering problem (Neumann or Dirichlet) arose due to the fact that the classical formulation failed to yield a unique solution at (acoustic) wave-numbers which correspond to eigenvalues (eigenfrequencies) of the corresponding interior scattering problem. Moreover, this correlation becomes more pronounced as the wave-numbers become larger i.e. as the (acoustic) frequency increases. The robust integral formulations which are discussed here yield Fredholms integral equations of the second kind which are more amenable to computation than the first kind. However, the integral equation involves a hypersingular kernel which creates ill-conditioning in the final matrix representation. This is circumvented by a regularisation technique. An extensive useful list of references is also presented here for researchers in this area.

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Section: Resultsmentioning

confidence: 99%

A Comprehensive Review of Boundary Integral Formulations of Acoustic Scattering Problems

Zaman

2000

SQU Journal for Science

View full text Add to dashboard Cite

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A Test of the Capabilities of CHIEF in the Numerical Calculation of Acoustic Radiation from Arbitrary Surfaces

Cited by 1 publication

References 0 publications

A Comprehensive Review of Boundary Integral Formulations of Acoustic Scattering Problems

A Comprehensive Review of Boundary Integral Formulations of Acoustic Scattering Problems

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