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<p>The weak-scatterer (WS) model has gained attention for its robustness and stability compared to fully nonlinear (FN) potential flow models in studying wave-body interactions. However, its applicability in predicting higher-order nonlinear wave loads remains underexplored. This paper integrates the WS formulation into a 3-D immersed-boundary adaptive harmonic polynomial cell (IB-AHPC) model. Through the examination of the nonlinear wave diffraction around a bottom-mounted vertical circular cylinder in regular waves, the WS results with model tests, the weakly-nonlinear FNV theory, and fully nonlinear potential flow solutions are compared. For small wave steepness, the WS model accurately predicts first-, second- and third-harmonic wave loads, slightly outperforming the FNV model. However, for steeper waves, it over-predicts third-harmonic loads, similar to the FNV model.</p>

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A weak-scatterer solution to nonlinear wave-body interaction based on a 3-D immersed-boundary adaptive harmonic polynomial cell method

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Chao Tong,
  • Yanlin Shao,
  • Harry Bradford Bingham

摘要

The weak-scatterer (WS) model has gained attention for its robustness and stability compared to fully nonlinear (FN) potential flow models in studying wave-body interactions. However, its applicability in predicting higher-order nonlinear wave loads remains underexplored. This paper integrates the WS formulation into a 3-D immersed-boundary adaptive harmonic polynomial cell (IB-AHPC) model. Through the examination of the nonlinear wave diffraction around a bottom-mounted vertical circular cylinder in regular waves, the WS results with model tests, the weakly-nonlinear FNV theory, and fully nonlinear potential flow solutions are compared. For small wave steepness, the WS model accurately predicts first-, second- and third-harmonic wave loads, slightly outperforming the FNV model. However, for steeper waves, it over-predicts third-harmonic loads, similar to the FNV model.