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A modified radial point interpolation meshless model for acoustic analysis of underwater elastic objects
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Xiang-yu YOU1, 2, 3, Yu YAO1, 3, Wei LI4
Journal of Ship Mechanics | 2026, 30(4) : 648 - 658
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Journal of Ship Mechanics | 2026, 30(4): 648-658
• Hydro/Structural Acoustics •
A modified radial point interpolation meshless model for acoustic analysis of underwater elastic objects
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Xiang-yu YOU1, 2, 3, Yu YAO1, 3, Wei LI4
Affiliations
  • 1.School of Hydraulic and Ocean Engineering, Changsha University of Science & Technology, Changsha 410114, China
  • 2.State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3.Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha 410114, China
  • 4.School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Published: 2026-04-15 doi: 10.3969/j.issn.1007-7294.2026.04.013
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The classical finite element method (FEM) is known to suffer from significant accuracy degradation under large wavenumber conditions due to dispersion error effects. Furthermore, the reliability of FEM solutions heavily depends on mesh quality, particularly in regions with steep gradient fields or complex geometric features. While high-quality meshes are essential for obtaining credible results, their generation remains computationally intensive and time-consuming. To address these limitations, this study proposes a modified radial point interpolation meshless method (MRPIM) for three-dimensional acoustic-structure interaction analysis. By introducing a novel interpolation node selection scheme, the method constructs continuous approximation functions within individual integration cells, effectively reducing numerical integration errors. Results demonstrate that the modified method achieves notable improvements in computational accuracy compared to the conventional method (RPIM) while exhibiting superior efficiency. Additionally, the computational overhead of MRPIM is comparable to that of FEM, highlighting its promising potential for engineering applications.

finite element method  /  three-dimensional acoustic analysis  /  meshless method  /  dispersion error  /  novel interpolation node selection scheme
Xiang-yu YOU, Yu YAO, Wei LI. A modified radial point interpolation meshless model for acoustic analysis of underwater elastic objects[J]. Journal of Ship Mechanics, 2026 , 30 (4) : 648 -658 . DOI: 10.3969/j.issn.1007-7294.2026.04.013
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doi: 10.3969/j.issn.1007-7294.2026.04.013
  • Receive Date：2025-11-11
  • Online Date：2026-07-07
  • Published：2026-04-15
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  • Received：2025-11-11
Affiliations
    1.School of Hydraulic and Ocean Engineering, Changsha University of Science & Technology, Changsha 410114, China
    2.State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    3.Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha 410114, China
    4.School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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https://castjournals.cast.org.cn/joweb/cblx/EN/10.3969/j.issn.1007-7294.2026.04.013
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