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<p>This study systematically investigates the added mass coefficient (<i>C</i><sub>a</sub>) and damping coefficient (<i>C</i><sub>b</sub>) of large-scale square and rectangular heave plates in water using Large-Eddy-Simulation (LES). A comprehensive parametric analysis examines the effects of sizes (ranging from 0.2 m×0.2 m to 5 m×5 m), Keulegan-Carpenter (<i>KC</i>=0.1–5) numbers, and forced oscillation frequencies (<i>f</i>=0.05–2 Hz) on <i>C</i><sub>a</sub> and <i>C</i><sub>b</sub>,. The investigation spans laboratory-scale reduced models to near full-scale dimensions, demonstrating the practical engineering relevance of the derived hydrodynamic coefficients for full-scale applications. The findings indicate that <i>C</i><sub>a</sub> exhibits a piecewise linear relationship with the <i>KC</i> number, while <i>C</i><sub>b</sub> follows a cubic trend. Both coefficients become frequency-independent when <i>f</i>⩾ 0.2 Hz. The thickness ratio demonstrates minimal impact on <i>C</i><sub>a</sub> and <i>C</i><sub>b</sub> when below 1/50, and square heave plates with lengths between 0.2 m and 5 m show no significant size effect. Furthermore, as the aspect ratio approaches 1, <i>C</i><sub>a</sub> increases, while <i>C</i><sub>b</sub> remains relatively constant. Based on these analyses, enhanced correction formulas for calculating <i>C</i><sub>a</sub> and <i>C</i><sub>b</sub> are proposed, offering improved accuracy and broader parameter applicability for both square and rectangular heave plates. This research provides comprehensive insights for predicting hydrodynamic performance and optimizing the engineering design of square and rectangular heave plates in marine applications.</p>

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Numerical Investigation of Hydrodynamic Coefficients for Rectangular and Square Heave Plates with Different Sizes

  • 期刊论文

  • 发表日期：

    2026年2月13日

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  • Wan-bo An,
  • Fu-you Xu,
  • Miao-min Wang,
  • Yu-qi Wang

摘要

This study systematically investigates the added mass coefficient (Ca) and damping coefficient (Cb) of large-scale square and rectangular heave plates in water using Large-Eddy-Simulation (LES). A comprehensive parametric analysis examines the effects of sizes (ranging from 0.2 m×0.2 m to 5 m×5 m), Keulegan-Carpenter (KC=0.1–5) numbers, and forced oscillation frequencies (f=0.05–2 Hz) on Ca and Cb,. The investigation spans laboratory-scale reduced models to near full-scale dimensions, demonstrating the practical engineering relevance of the derived hydrodynamic coefficients for full-scale applications. The findings indicate that Ca exhibits a piecewise linear relationship with the KC number, while Cb follows a cubic trend. Both coefficients become frequency-independent when f⩾ 0.2 Hz. The thickness ratio demonstrates minimal impact on Ca and Cb when below 1/50, and square heave plates with lengths between 0.2 m and 5 m show no significant size effect. Furthermore, as the aspect ratio approaches 1, Ca increases, while Cb remains relatively constant. Based on these analyses, enhanced correction formulas for calculating Ca and Cb are proposed, offering improved accuracy and broader parameter applicability for both square and rectangular heave plates. This research provides comprehensive insights for predicting hydrodynamic performance and optimizing the engineering design of square and rectangular heave plates in marine applications.