Smooth finite element adjustable damping implicit integration algorithm for underwater target transient sound scattering

By employing a smooth finite element adjustable damping implicit integral algorithm, combined with acoustic generalized gradient smoothing techniques and adjustable damping implicit time integration, the problems of numerical dispersion error and low high-frequency calculation accuracy in underwater transient acoustic scattering by the standard finite element method are solved, achieving high-precision and low-cost underwater target acoustic scattering simulation.

CN122310892APending Publication Date: 2026-06-30HUAZHONG UNIV OF SCI & TECH
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Patent Information

Application Number
CN202610522410.5
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-04-20
Publication Date
2026-06-30

AI Technical Summary

Technical Problem

In existing technologies, the standard finite element method suffers from large numerical dispersion error, low high-frequency calculation accuracy, and strong mesh dependence in underwater transient acoustic scattering problems. Furthermore, the time integration algorithm has unadjustable numerical damping, which cannot effectively suppress spatial discretization error, resulting in high computational cost and low accuracy.

Method used

A smooth finite element adjustable damping implicit integral algorithm is adopted, and the spatial discretization error is reduced by acoustic generalized gradient smoothing technology. The numerical damping is dynamically adjusted by an adjustable damping implicit time integral algorithm to achieve coordinated control of spatial and temporal discretization errors.

Benefits of technology

It significantly improves the computational accuracy and reliability of transient acoustic scattering fields under the same grid conditions, reduces computational costs, is highly adaptable, and can efficiently handle transient acoustic scattering problems of complex underwater targets.

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Abstract

The invention discloses a smooth finite element adjustable damping implicit integration algorithm for underwater target transient sound scattering, and belongs to the technical field of underwater transient sound scattering numerical simulation. The smooth finite element adjustable damping implicit integration algorithm comprises the following steps: dispersing an underwater transient sound scattering field computational domain into a standard quadrilateral unit grid, and constructing a sound pressure field interpolation format; dividing each quadrilateral unit into a plurality of smooth regions, and obtaining a smooth sound pressure gradient matrix after smoothing through an acoustic generalized gradient smoothing technology; combining a differential control equation, a virtual displacement principle and a Galerkin weighted residual value method to construct a system matrix equation; time domain discretization is completed by adopting an adjustable damping implicit time integration algorithm, and a full-time-domain transient sound scattering field numerical result is obtained through recursion solution. According to the method, an over-stiffness stiffness matrix can be softened to reduce spatial discrete errors, high-frequency errors are restrained through adjustable numerical damping matching, space-time error cooperative control is achieved, the precision is superior to that of a standard finite element method under the same grid, and an efficient and reliable scheme is provided for underwater transient sound scattering engineering simulation.
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