An efficient Fourier BEM formulation for acoustic radiation of axisymmetric structures

摘要

Application of the acoustic Fourier series boundary element method (FBEM) for axisymmetric structures with non-axisymmetric boundary conditions is very attractive, beeause of the significantly reduced computational cost compared to application of the normal 3-dimensional BEM. An efficient implementation of the acoustic FBEM however, is far from straightforward. In the FBEM formulation some intcgrals ovee the angle of rvolution arise, which need to be calculated for every Fourier term. The evaluation time for these integrals determines the total computational cost and therefore the efficiency of the FBEM. The integrals were formerly treated for each Fourier term separately with trapezoidal or Gaussian quadrature.