An integral equation approach to three-dimensional acoustic radiation and scattering problems

作者：Yang SA^*

来源：Journal of the Acoustical Society of America, 2004, 116(3): 1372-1380.

DOI：10.1121/1.779751

This paper provides numerical implementation and tests for a boundary integral equation method proposed recently by Krutitskii [IMA J. Appl. Math. 64, 259-269 (2000)] for evaluating three-dimensional acoustic radiation and scattering fields in the exterior Neumann problem for several obstacles. Auxiliary boundaries with certain prescribed boundary conditions are introduced inside the obstacles for the purpose of eliminating the fictitious characteristic frequencies. Applying the simple source formulation on all boundaries leads to a set of uniquely solvable integral equations with weakly singular kernels. To facilitate the numerical implementation, the modified integral equations are further transformed to ordinary ones that contain nonsingular kernels only. Test cases consist of the acoustic radiation and scattering by one sphere and a pair of equal spheres. Comparisons are made with analytical solutions and Schenck's CHIEF method. Numerical results demonstrate the efficiency, robustness, and accuracy of the proposed method.

• 出版日期2004-9