Integral equation methods with unique solution for all wavenumbers applied to acoustic radiation

Authors

  • Antoine Lavie Univ Lille Nord de France - UArtois Laboratoire Génie Civil et géo-Environnement (LGCgE) Technoparc Futura F-62400 Béthune
  • Alexandre Leblanc Univ Lille Nord de France - UArtois Laboratoire Génie Civil et géo-Environnement (LGCgE) Technoparc Futura F-62400 Béthune

Keywords:

acoustic radiation, boundary element method, irregular frequencies

Abstract

The acoustic exterior Neumann problem is solved using an easy process based upon the boundary element method and able to eliminate effects of irregular frequencies in time harmonic domain. This technique is performed as follows: (i) two computations are done around the characteristic frequency, decreased and increased by a small imaginary part; (ii) average between pressures at these two frequencies ensures unique solution for all wavenumbers. This method is numerically tested for an infinite cylinder, an axisymmetric cylinder, a sphere and a three-dimensional cat’s eye structure. This work highlights ease and efficiency of the technique under consideration to remove the irregular frequencies effects.

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Published

2010-08-06

How to Cite

Lavie, A., & Leblanc, A. . (2010). Integral equation methods with unique solution for all wavenumbers applied to acoustic radiation. European Journal of Computational Mechanics, 19(5-7), 619 to 636. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1653

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