Time domain three-dimensional fully nonlinear computations of steady body-wave interaction problem

Fuat Kara, C.Q. Tang, Dracos Vassalos

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Three-dimensional fully nonlinear waves generated by moving disturbances with steady forward speed without motions are solved using a mixed Eulerian-Lagrangian method in terms of an indirect boundary integral method and a Runge-Kutta time marching approach which integrates the fully nonlinear free surface boundary conditions with respect to time. A moving computational window is used in the computations by truncating the fluid domain (the free surface) into a computational domain. The computational window maintains the computational domain and tracks the free surface profile by a node-shifting scheme applied within it. An implicit implement of far field condition is enforced automatically at the truncation boundary of the computational window. Numerical computations are applied to free surface waves generated by Wigley and Series 60 hulls for the steady problem. The present numerical results are presented and compared with existing linear theory, experimental measurements, and other numerical nonlinear computations. The comparisons show satisfactory agreements for these hydrodynamic problems.
LanguageEnglish
Pages776-789
Number of pages13
JournalOcean Engineering
Volume34
Issue number5-6
DOIs
Publication statusPublished - Apr 2007

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Surface waves
Hydrodynamics
Boundary conditions
Fluids

Keywords

  • time domain
  • fully nonlinear formulation
  • wave-making resistance
  • computational window

Cite this

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abstract = "Three-dimensional fully nonlinear waves generated by moving disturbances with steady forward speed without motions are solved using a mixed Eulerian-Lagrangian method in terms of an indirect boundary integral method and a Runge-Kutta time marching approach which integrates the fully nonlinear free surface boundary conditions with respect to time. A moving computational window is used in the computations by truncating the fluid domain (the free surface) into a computational domain. The computational window maintains the computational domain and tracks the free surface profile by a node-shifting scheme applied within it. An implicit implement of far field condition is enforced automatically at the truncation boundary of the computational window. Numerical computations are applied to free surface waves generated by Wigley and Series 60 hulls for the steady problem. The present numerical results are presented and compared with existing linear theory, experimental measurements, and other numerical nonlinear computations. The comparisons show satisfactory agreements for these hydrodynamic problems.",
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Time domain three-dimensional fully nonlinear computations of steady body-wave interaction problem. / Kara, Fuat; Tang, C.Q.; Vassalos, Dracos.

In: Ocean Engineering, Vol. 34, No. 5-6, 04.2007, p. 776-789.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Time domain three-dimensional fully nonlinear computations of steady body-wave interaction problem

AU - Kara, Fuat

AU - Tang, C.Q.

AU - Vassalos, Dracos

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AB - Three-dimensional fully nonlinear waves generated by moving disturbances with steady forward speed without motions are solved using a mixed Eulerian-Lagrangian method in terms of an indirect boundary integral method and a Runge-Kutta time marching approach which integrates the fully nonlinear free surface boundary conditions with respect to time. A moving computational window is used in the computations by truncating the fluid domain (the free surface) into a computational domain. The computational window maintains the computational domain and tracks the free surface profile by a node-shifting scheme applied within it. An implicit implement of far field condition is enforced automatically at the truncation boundary of the computational window. Numerical computations are applied to free surface waves generated by Wigley and Series 60 hulls for the steady problem. The present numerical results are presented and compared with existing linear theory, experimental measurements, and other numerical nonlinear computations. The comparisons show satisfactory agreements for these hydrodynamic problems.

KW - time domain

KW - fully nonlinear formulation

KW - wave-making resistance

KW - computational window

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