上海交通大学学报（英文版） ›› 2016, Vol. 21 ›› Issue (2): 129-135.doi: 10.1007/s12204-016-1703-6

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Prediction of Hydrodynamic Forces on a Moored Ship Induced by a Passing Ship in Shallow Water Using a High-Order Panel Method

XU Huafua (徐华福), ZOU Zaojiana,b* (邹早建)   

  1. (a. School of Naval Architecture, Ocean and Civil Engineering; b. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • 出版日期:2016-04-15 发布日期:2016-04-26
  • 通讯作者: ZOU Zaojian (邹早建) E-mail:zjzou@sjtu.edu.cn

Prediction of Hydrodynamic Forces on a Moored Ship Induced by a Passing Ship in Shallow Water Using a High-Order Panel Method

XU Huafua (徐华福), ZOU Zaojiana,b* (邹早建)   

  1. (a. School of Naval Architecture, Ocean and Civil Engineering; b. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • Online:2016-04-15 Published:2016-04-26
  • Contact: ZOU Zaojian (邹早建) E-mail:zjzou@sjtu.edu.cn

摘要： A three-dimensional high-order panel method based on non-uniform rational B-spline (NURBS) is developed for predicting the hydrodynamic interaction forces on a moored ship induced by a passing ship in shallow water. An NURBS surface is used to precisely represent the hull geometry. Velocity potential on the hull surface is described by B-spline after the source density distribution on the boundary surface is determined. A collocation approach is applied to the boundary integral equation discretization. Under the assumption of low passing speed, the effect of free surface elevation is neglected in the numerical calculation, and infinite image method is used to deal with the finite water depth effect. The time stepping method is used to solve the velocity potential at each time step. Detailed convergence study with respect to time step, panel size and Green function is undertaken. The present results of hydrodynamic forces are compared with those obtained by slender-body theory to show the validity of the proposed numerical method. Calculations are conducted for different water depths and lateral distances between ships, and the detail results are presented to demonstrate the effects of these factors.

关键词: moored ship, passing ship, hydrodynamic interaction, non-uniform rational B-spline (NURBS), highorder panel method

Abstract: A three-dimensional high-order panel method based on non-uniform rational B-spline (NURBS) is developed for predicting the hydrodynamic interaction forces on a moored ship induced by a passing ship in shallow water. An NURBS surface is used to precisely represent the hull geometry. Velocity potential on the hull surface is described by B-spline after the source density distribution on the boundary surface is determined. A collocation approach is applied to the boundary integral equation discretization. Under the assumption of low passing speed, the effect of free surface elevation is neglected in the numerical calculation, and infinite image method is used to deal with the finite water depth effect. The time stepping method is used to solve the velocity potential at each time step. Detailed convergence study with respect to time step, panel size and Green function is undertaken. The present results of hydrodynamic forces are compared with those obtained by slender-body theory to show the validity of the proposed numerical method. Calculations are conducted for different water depths and lateral distances between ships, and the detail results are presented to demonstrate the effects of these factors.

Key words: moored ship, passing ship, hydrodynamic interaction, non-uniform rational B-spline (NURBS), highorder panel method

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