Smoothed finite element-bathe method for transient acoustic scattering from underwater targets

Abstract

The application discloses a smooth finite element-Bathe calculation method for underwater target transient acoustic scattering, and belongs to the technical field of underwater transient acoustic scattering numerical simulation. Firstly, a sound scattering field calculation domain is discretized into a quadrilateral element grid, and an acoustic pressure field interpolation format is established; then, an element smooth domain is divided, a smooth acoustic pressure gradient matrix is obtained through acoustic generalized gradient smoothing technology, and a system matrix equation is constructed in combination with a transient acoustic scattering control equation and a Galerkin weighted residual value method; time domain discretization is completed through the Bathe time integration method, and iterative solution is carried out, so that full-time domain numerical results of the transient acoustic scattering field are obtained. Through the gradient smoothing technology, the spatial discretization error is reduced, error cooperative suppression is realized in combination with the frequency self-adaptive numerical damping of the Bathe integration method, the precision is higher and the stability is better than those of the standard finite element method under the same grid, and an efficient and reliable scheme is provided for underwater transient acoustic scattering engineering solution.

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