Fast Boundary Element Method For Acoustic Radiation In A Subsonic Uniform Flow

In this paper, simulation of acoustic radiation problems in a subsonic uniform flow using the precorrected fast Fourier transformation boundary element method(p FFT-BEM) is investigated. Firstly, boundary element method and boundary element method in acoustics are reviewed. After that, the principle of the conventional boundary element method and the fundamental solution of the acoustic boundary element method, the Helmholtz boundary integral equation, the composite Helmholtz integral equation, the nonuniqueness of the Helmholtz boundary integral equation for exterior acoustic problems and the weakly singular integral and hypersingular integral are investigated in detail. Next, the governing equation for acoustic radiation in a subsonic uniform flow is derived and studied. This governing equation together with the boundary condition are transformed into the corresponding governing equation and boundary condition in the classical acoustic problems. Finally, an acoustic radiation problem in a subsonic uniform flow is modelled using the pre-corrected fast Fourier transform boundary element method. Numerical results show that the correctness and accuracy of the proposed method. The computational efficiency and the consumed memory are the same as those of the pre-corrected fast Fourier boundary element method in the classical acoustic problems.