Journal ArticleDOI
Third-Order Hydrodynamic Loads on an Oscillating Vertical Cylinder in Water
TLDR
In this article, the third-harmonic component of the third order hydrodynamic loads on a vertical circular cylinder oscillating in water is calculated by a conventional perturbation method within the framework of a potential theory.Abstract:
The third-harmonic component of the third-order hydrodynamic loads on a vertical circular cylinder oscillating in water is calculated by a conventional perturbation method within the framework of a potential theory. Although the third-order forces are expressed in terms of the first, second, and third-order components of the velocity potential, the latter is not directly required for the calculation. It is replaced by a properly defined linearized radiation potential via Haskind-like theorem. The results of the study are applicable to the analysis of high-frequency resonances of deepwater offshore structures under earthquake excitation or under steep waves (ringing problem).read more
Citations
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Journal ArticleDOI
Use of body-fixed coordinate system in analysis of weakly nonlinear wave–body problems
Yanlin Shao,Odd M. Faltinsen +1 more
TL;DR: In this article, a domain decomposition method was proposed to avoid derivatives of the velocity potential on the right-hand side of the body boundary conditions, taking the advantage of the accelerated body-fixed coordinate system.
Journal ArticleDOI
Numerical simulations of non‐linear wave radiation in inviscid fluid with a free surface
TL;DR: In this paper, a time-stepping approach combined with the finite element method is used to simulate the potential flows due to high-frequency oscillations of the structure, and the evolution equations for the wave elevation and velocity potential at the free surface, exact up to second order, are derived using Stokes perturbation expansion.
References
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Journal ArticleDOI
Second-order diffraction loads upon three-dimensional bodies
TL;DR: In this paper, a non-linear theory is presented to derive second-order waveloads, in terms of the wave-steepness, which makes the solution valid for all range of wave frequencies.
Journal ArticleDOI
Nonlinear wave loads on a slender vertical cylinder
TL;DR: In this article, a vertical circular cylinder is considered in the regime where the wave amplitude A and cylinder radius a are of the same order, and both are small compared to the wavelength.
Journal ArticleDOI
Third-harmonic wave diffraction by a vertical cylinder
Šime Malenica,Bernard Molin +1 more
TL;DR: In this article, the diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory, and a method of resolution is based on eigenfunction expansions and on the integral equation technique with the classical Green function expressed in cylindrical coordinates.
Journal ArticleDOI
Second-order wave diffraction by a vertical cylinder
F. P. Chau,R. Eatock Taylor +1 more
TL;DR: In this paper, a detailed analysis of the second-order diffraction problem of a uniform vertical circular cylinder in regular waves is presented, which can be used for calculating other quantities such as the hydrodynamic pressure at any point, the sectional force and bending moment in the cylinder or the free-surface elevation due to the secondorder effects.
Journal ArticleDOI
Semi-analytical solution for second-order wave diffraction by a truncated circular cylinder in monochromatic waves
J. B. Huang,R. Eatock Taylor +1 more
TL;DR: In this article, a semi-analytical solution for second-order diffraction of monochromatic waves by a truncated vertical circular cylinder in water of uniform finite depth is given.
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