一种预报水下声辐射的无网格弱式径向点插值方法

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (4) : 145-155.

论文

吴绍维1,2，柯磊1，韩国文1

作者信息 +

A meshless weak radial point interpolation method for predicting underwater acoustic radiation

WU Shaowei1,2，KE Lei1，HAN Guowen1

Author information +

文章历史 +

摘要

提出了一种预报结构水下声辐射的径向点插值（Radial Point Interpolation Method, RPIM）耦合Modified Dirichlet-to-Neumann（MDtN）边界条件的无网格弱式方法。在RPIM-MDtN方法中，采用人工边界将结构外部无限问题域截断为有限计算域，利用RPIM构造声形函数，并在截断边界处施加MDtN边界条件，以提高计算精度和确保声波自由衰减及解的唯一性。在该方法中，声场量的插值无需使用网格或场点的连接属性。研究了该方法性能的影响因素，采用算例对该方法的有效性进行了验证。结果表明：与有限元法相比，该方法具有计算精度高和收敛速度快的优势，对声波数的敏感度显著降低；在要求高精度时，该方法具有计算效率的优势。

Abstract

A meshfree weak-form method based on combining radial point interpolation method (RPIM) and modified Dirichlet-to-Neumann (MDtN) boundary condition is proposed for use in analyzing underwater acoustic radiation. In the method, unbounded problem domain is truncated by an artificial boundary to yield a finite computational domain. Simultaneously, MDtN boundary condition is imposed on the artificial boundary to guarantee the uniqueness of the solution, and RPIM is used to form acoustic shape function without use of mesh or connectivity of nodes for implementing field variable interpolations. The factors affecting the performance of the devised method are investigated. Numerical examples are performed to test the performance of the present method. The simulations indicate that this method can produce more accurate results together with faster convergency and better efficiency and is much less sensitive to the acoustic wave number compared to the finite element scheme. Therefore, this devised method is competitive for predicting underwater acoustic radiation.

导出引用

吴绍维1,2，柯磊1，韩国文1. 一种预报水下声辐射的无网格弱式径向点插值方法[J]. 振动与冲击, 2023, 42(4): 145-155

WU Shaowei1,2，KE Lei1，HAN Guowen1. A meshless weak radial point interpolation method for predicting underwater acoustic radiation[J]. Journal of Vibration and Shock, 2023, 42(4): 145-155

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