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A coupled weak-form meshfree method for underwater noise prediction

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Abstract

A meshfree weak-form method based on combining a radial point interpolation method (RPIM) and modified Dirichlet-to-Neumann (MDtN) boundary condition is proposed for use in analyzing underwater acoustic radiation. To apply a meshfree weak-form method to exterior acoustic radiation prediction, an unbounded problem domain is truncated by an artificial boundary to yield a finite computational domain. To improve the interpolation accuracy, RPIM is used to form an acoustic shape function without use of a mesh or connectivity of nodes to implement field variable interpolations. An MDtN boundary condition is imposed on the artificial boundary to guarantee a unique solution. The factors affecting the performance of the devised method are investigated, and numerical examples are used to test its performance. Simulations indicate that the method can produce more accurate results and converge faster and more efficiently, and is less sensitive to the acoustic wavenumber than the finite element scheme. Therefore, this proposed method is competitive at predicting underwater acoustic radiation.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 51909016), the Natural Science Foundation of Chongqing, China (Grant No. cstc2020jcyj-msxmX0070), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202100702 and KJQN201900705) and the Key Laboratory of Marine Power Engineering & Technology (Wuhan University of Technology), Ministry of Transport (Grant No. KLMPET2019-04).

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  1. Shaowei Wu, Yang Xiang and Guangnian Li contributed equally to this work.

Authors and Affiliations

  1. School of Shipping and Naval Architecture, Chongqing Jiaotong University, Chongqing, 400074, China

    Shaowei Wu

  2. School of Energy and Power Engineering, Wuhan University of Technology, Wuhan, 430063, Hubei, China

    Yang Xiang

  3. Key Laboratory of Mine Power Engineering & Technology (Ministry of Communications), Wuhan University of Technology, Wuhan, 430063, Hubei, China

    Shaowei Wu & Yang Xiang

  4. Faculty of Maritime and Transportation, Ningbo University, Ningbo, 315611, Zhejiang, China

    Guangnian Li

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  1. Shaowei Wu
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Correspondence to Shaowei Wu.

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Wu, S., Xiang, Y. & Li, G. A coupled weak-form meshfree method for underwater noise prediction. Engineering with Computers 38, 5091–5109 (2022). https://doi.org/10.1007/s00366-021-01593-3

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