• Title/Summary/Keyword: Rayleigh%27s Integral Equation

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Numerical Simulation of Acoustic Radiation and Fluid/Structure Interaction Based on the Helmholtz Integral Equation (헬름홀쯔 적분 방정식에 기반을 둔 구조물의 음향방사 및 구조/음향 연성 수치해석)

  • Choi, Sung-Hoon
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.8
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    • pp.411-417
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    • 2008
  • An alternative formulation of the Helmholtz integral equation derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface is used to solve acoustic radiation and fluid/structure interaction problems. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the surface pressure field is expressed explicitly as a surface integral of the surface velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use BEM to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.