Trailing-edge noise prediction using a periodic BEM technique

Abstract

The noise generated by a sharp-edged strut under quadrupole excitation is predicted using a periodic boundary element method technique. The strut is considered as a continuous periodic structure so that the matrix equation formulated by periodic boundary element method for this acoustic scattering problem is a block Toeplitz matrix. By exploiting the Toeplitz structure, the computational time and storage requirements for constructing the coefficient matrix are significantly reduced. The original matrix is embedded into a larger and more structured matrix called the block circulant matrix. Discrete Fourier Transform is then employed in an iterative algorithm to solve the block Toeplitz system. Directivity plots obtained using the proposed method are compared with numerical results obtained using a conventional boundary element model.