Improved equivalent source method to predict sound scattered by solid surfaces

Abstract

The equivalent source method is an efficient numerical method to predict sound scattered by solid surfaces. Compared with the conventional boundary element method, the equivalent source method has inherent advantages in avoiding the problems of singularity and non-uniqueness of the solution. However, the equivalent source method can form an ill-conditioned matrix for some specific cases, such as thin scattering surfaces, resulting in serious computational errors in these situations. In this paper, an improved equivalent source method is developed, in which an efficient regularization method is proposed to reduce the condition number of the coefficient matrix and the regularization parameter can be easily determined. Numerical test cases validate that the improved method usually can reach a satisfactory computational accuracy for predicting sound scattered by thin structures.

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