Wave forces on vertical bodies of revolution

Fenton, John D.

doi:10.1017/s0022112078000622

Cited by 61 publications

(39 citation statements)

References 4 publications

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“…Utilizing a Green's function the single diffraction boundary-value problem can be transformed to an integral equation for the sourcestrength-distribution function over the immersed surface of the body. To obtain the potential in the cylindrical eigenfunction expansion, the free-surface finite-depth Green's function given by Black (1975) and Fenton (1978),…”

Section: Calculation Of the Diffraction Transfer Matrix For Bodies Ofmentioning

confidence: 99%

Water-wave scattering by a periodic array of arbitrary bodies

Peter¹,

Meylan²,

Linton³

2006

J. Fluid Mech.

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An algebraically exact solution to the problem of linear water-wave scattering by a periodic array of scatterers is presented in which the scatterers may be of arbitrary shape. The method of solution is based on an interaction theory in which the incident wave on each body from all the other bodies in the array is expressed in the respective local cylindrical eigenfunction expansion. We show how to efficiently calculate the slowly convergent terms which arise in the formulation and how to calculate the scattered field far from the array. The application to the problem of linear acoustic scattering by cylinders with arbitrary cross-section is also discussed. Numerical calculations are presented to show that our results agree with previous calculations. We present some computations for the case of fixed, rigid and elastic floating bodies of negligible draft concentrating on presenting the amplitudes of the scattered waves as functions of the incident angle.

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Section: Calculation Of the Diffraction Transfer Matrix For Bodies Ofmentioning

confidence: 99%

Water-wave scattering by a periodic array of arbitrary bodies

Peter¹,

Meylan²,

Linton³

2006

J. Fluid Mech.

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“…As first pointed out by Fenton (1978), the infinite sum associated with Gq~ is known to have a logrithmic singurity when z --~ 0, r -+ r0. To eliminate this singurity, we define …”

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confidence: 94%

Nonlinear free surface action with an array of vertical cylinders

Huang

2004

Acta Mech Sinica

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ABSTRACT:Nonlinear diffraction of regular waves by an array of bottom-seated circular cylinders is investigated in frequency domain, based on a Stokes expansion approach. A complete semi-analytical solution is developed which allows an efficient evaluation of the second-order potentials in the entire fluid domain, and the wave forces on the structure. Expressions are derived for the second-order potentiM in the vicinity of individual cylinders. These expressions have a simple form, thus providing an effective means for investigating the wave enhancement due to nonlinear interactions with multiple cylinders. Based on the present method, the wave run-up and free-surface elevations around an array of two, three and four cylinders are investigated numerically.

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“…Alternative methods which are much more economical have been developed for more restricted configurations, in particular, vertical axisymmetric structures which have found various applications such as oil storage tanks an~ uil production platforms. This case was treated by several authors in the context of wave loading, including Fenton (1978) and Isaacson (1982), and the purpose of the present paper is to generalize this case to include the earthquake loading problem, too. It is emphasized that this is treated in terms of a prescribed base motion and the structure-foundation interaction problem is specifically not treated.…”

Section: Introductionmentioning

confidence: 99%