Numerical study on hydrodynamic interaction between two tankers in shallow water based on high-order panel method

Hua-Fu Xu, Lu Zou, Zao-Jian Zou, Zhi-Ming Yuan

Research output: Contribution to journalArticle

Abstract

A three-dimensional high-order panel method based on Non-Uniform Rational B-Spline (NURBS) for predicting the ship-ship hydrodynamic interaction during meeting and overtaking in shallow water is developed. The NURBS surface is used to precisely represent the hull geometry. The velocity potential on the body 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, and the velocity potential is being solved at each time step. Under the low-speed assumption, the effect of free surface elevation is neglected in the numerical calculation, and the infinite image method is used to deal with the finite water depth effect. Two tankers in model tests are investigated, and the predicted hydrodynamic interaction forces and moments are compared with experimental measurements to clarify the validity of the proposed numerical method. Calculations are then conducted for different water depths, lateral ship-ship distances and ship speeds, and the detailed results are discussed to demonstrate the effects of these factors.
LanguageEnglish
JournalEuropean Journal of Mechanics - B/Fluids
Early online date16 Nov 2018
DOIs
Publication statusE-pub ahead of print - 16 Nov 2018

Fingerprint

Panel Method
Hydrodynamic Interaction
High-order Methods
Shallow Water
ships
shallow water
Ship
Numerical Study
Ships
Hydrodynamics
hydrodynamics
splines
Splines
water depth
Water
B-spline
interactions
B-spline Surface
Rational Surface
Boundary integral equations

Keywords

  • high-order panel method
  • NURBS
  • ship-ship hydrodynamic interaction
  • shallow water
  • meeting
  • overtaking

Cite this

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title = "Numerical study on hydrodynamic interaction between two tankers in shallow water based on high-order panel method",
abstract = "A three-dimensional high-order panel method based on Non-Uniform Rational B-Spline (NURBS) for predicting the ship-ship hydrodynamic interaction during meeting and overtaking in shallow water is developed. The NURBS surface is used to precisely represent the hull geometry. The velocity potential on the body 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, and the velocity potential is being solved at each time step. Under the low-speed assumption, the effect of free surface elevation is neglected in the numerical calculation, and the infinite image method is used to deal with the finite water depth effect. Two tankers in model tests are investigated, and the predicted hydrodynamic interaction forces and moments are compared with experimental measurements to clarify the validity of the proposed numerical method. Calculations are then conducted for different water depths, lateral ship-ship distances and ship speeds, and the detailed results are discussed to demonstrate the effects of these factors.",
keywords = "high-order panel method, NURBS, ship-ship hydrodynamic interaction, shallow water, meeting, overtaking",
author = "Hua-Fu Xu and Lu Zou and Zao-Jian Zou and Zhi-Ming Yuan",
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AU - Zou, Lu

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N2 - A three-dimensional high-order panel method based on Non-Uniform Rational B-Spline (NURBS) for predicting the ship-ship hydrodynamic interaction during meeting and overtaking in shallow water is developed. The NURBS surface is used to precisely represent the hull geometry. The velocity potential on the body 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, and the velocity potential is being solved at each time step. Under the low-speed assumption, the effect of free surface elevation is neglected in the numerical calculation, and the infinite image method is used to deal with the finite water depth effect. Two tankers in model tests are investigated, and the predicted hydrodynamic interaction forces and moments are compared with experimental measurements to clarify the validity of the proposed numerical method. Calculations are then conducted for different water depths, lateral ship-ship distances and ship speeds, and the detailed results are discussed to demonstrate the effects of these factors.

AB - A three-dimensional high-order panel method based on Non-Uniform Rational B-Spline (NURBS) for predicting the ship-ship hydrodynamic interaction during meeting and overtaking in shallow water is developed. The NURBS surface is used to precisely represent the hull geometry. The velocity potential on the body 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, and the velocity potential is being solved at each time step. Under the low-speed assumption, the effect of free surface elevation is neglected in the numerical calculation, and the infinite image method is used to deal with the finite water depth effect. Two tankers in model tests are investigated, and the predicted hydrodynamic interaction forces and moments are compared with experimental measurements to clarify the validity of the proposed numerical method. Calculations are then conducted for different water depths, lateral ship-ship distances and ship speeds, and the detailed results are discussed to demonstrate the effects of these factors.

KW - high-order panel method

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KW - ship-ship hydrodynamic interaction

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KW - overtaking

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