Open AccessIntegral equation methods with unique solution for all wavenumbers applied to acoustic radiation
Author(s) -
Antoine Lavie,
Alexandre Leblanc
Publication year - 2010
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.19.619-636
Subject(s) - wavenumber , cylinder , acoustic radiation , computation , rotational symmetry , mathematical analysis , boundary value problem , harmonic , boundary element method , mathematics , frequency domain , domain (mathematical analysis) , work (physics) , acoustics , integral equation , neumann boundary condition , boundary (topology) , physics , geometry , radiation , finite element method , optics , algorithm , thermodynamics
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.