The Application of Regularization Method to Acoustic Radiation Prediction in Shallow Water

Abstract

A method based on the wave superposition method (WSM) and the adjusted Green function for predicting the structural acoustic radiation in shallow water is proposed, which is adopted to construct the equivalent acoustic radiation of elastic structure. The local acoustic vibration model is established by the finite element method (FEM) in the near field, and the WSM is used to calculate the acoustic field in the far distance. In the wave superposition calculation, the virtual source intensity is obtained by using the Green function associated with the ray method, and the sound field is calculated by the Green function based on normal mode. And acoustic radiation of a pulsating sphere in the shallow water is served as an example to verify the accuracy of the method. Considering the fact that the ill-posed problems in the calculation are caused by the velocity noise, the performance of the Tikhonov regularization method on suppressing noise is investigated. It is concluded that the Tikhonov regularization method can greatly improve the stability and accuracy of structural radiation sound field prediction in shallow water, and lay the foundation for practical applications.