Hydrodynamic interactions in floating cylinder arrays—II. Wave radiation

Williams, A.N.; Abul-Azm, A.G.

doi:10.1016/0029-8018(89)90019-x

Cited by 46 publications

(14 citation statements)

References 8 publications

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“…Then, we compared the two sets of results (including and without evanescent modes) with that using a modified plane-wave technique based on a large-spacing approximation (Williams and Abul-Azm We can see that the results without evanescent modes are in good agreement with those of Williams and AbulAzm [11], which are based on a large-spacing approximation. For the damping coefficient, the two sets of results (including and without evanescent modes) in this study nearly coincide with each other.…”

Section: Two Cylindersmentioning

confidence: 75%

“…First, we recalculated the hydrodynamic coefficients for two cylinders (case 1 in Williams and Abul-Azm [11], where cylinder 1 oscillates and cylinder 2 is fixed). Then, we compared the two sets of results (including and without evanescent modes) with that using a modified plane-wave technique based on a large-spacing approximation (Williams and Abul-Azm We can see that the results without evanescent modes are in good agreement with those of Williams and AbulAzm [11], which are based on a large-spacing approximation.…”

Section: Two Cylindersmentioning

confidence: 99%

“…Babarit [9] investigated the energy absorption problem in both regular and irregular waves, and considered wave interactions in arrays of two surging or heaving cylinders, whose hydrodynamic coefficients were calculated using the boundary element method (BEM). In addition, Williams et al [10,11] used a modified plane-wave approach to investigate the diffraction and radiation problems associated with an array of truncated circular cylinders. Furthermore, Kagemoto and Yue [12] presented an accurate algebraic method (including the interactions of evanescent waves) for multiple bodies by combining and extending the matrix method and the multiple-scattering concept, based on the diffraction characteristics of the isolated member.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic interactions of water waves with a group of independently oscillating truncated circular cylinders

2016

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In this study, we examine the water wave radiation by arrays of truncated circular cylinders. Each cylinder can oscillate independently in any rigid oscillation mode with a prescribed amplitude, including translational and rotational modes such as surge, sway, heave, pitch, roll, and their combinations. Based on the eigenfunction expansion and Graf's addition theorem for Bessel functions, we developed an analytical method that includes the effects of evanescent modes in order to analyze such arrays of cylinders. To investigate the effects of several influential factors on convergence, our objective is to dramatically reduce the number of tests required and determine the influencing relationships between truncation number and convergence behavior for different factor combinations. We use the orthogonal test method to fulfill the objective. Lastly, we present our results regarding the effects of evanescent modes on hydrodynamic coefficients.

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Section: Two Cylindersmentioning

confidence: 75%

Section: Two Cylindersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic interactions of water waves with a group of independently oscillating truncated circular cylinders

2016

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“…In the case where the cylinder spacing is large relative to the incident wave length, approximate techniques may reasonably be used to quantify the hydrodynamic interactions between the members of multi-column structures. A popular approach, based on the wide-spacing assumption is the so-called modified plane-wave approach first developed by McIver and Evans [7], and later used in a number of applications by McIver, Williams and Demirbilek [8], Williams and Abul-Azm [9], and Williams and Rangappa [10]. All of the above studies, however, assume that the cylinders are impermeable.…”

Section: Introductionmentioning

confidence: 99%

Water Wave Interaction by Dual Cylindrical Cylinders with Partial Porous Area

Park¹,

Jeong²,

You³

2017

IJET

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Abstract-In the present study, the 3D numerical analysis method is developed with Eigenfunction expansion method to evaluate the wave forces acting on the array of dual cylindrical cylinders with partial porous area, which consist of an impermeable inner cylinder and a porous outer cylinder. The wave forces and water wave interaction on dual cylindrical cylinders with partial porous area are presented for various porosity depths, and the comparison between the impermeable cylinder and the permeable cylinder is made to examine the effects of porosity. From these results, the present method is very useful to evaluate the wave force and water wave interaction acting on the array of dual cylindrical cylinders with partial porous area.Index Terms-Eigenfunction expansion method, dual cylindrical cylinder, partial porous area, water wave interaction, wave force.

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“…Sabuncu and Calisal [9] obtMned hydrodynamic coefficients for vertical cylinders at finite water depth. Williams nd Abul-Azm [11] investigated the hydrodynamic interactions between the members of an array of floating circular cylinders which occur when one member undergoes prescribed forced oscillations.…”

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confidence: 99%

Wave loadings on a vertical cylinder due to heave motion

Bha

Rahman

1993

International Journal of Mathematics and Mathematical Sciences

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ABSTRACT. Wave forces and moments due to scattering and radiation for a vertical circular cylinder heaving in water of finite depth are derived analytically. These are derived fi'om the total velocity potential which can be decomposed as two velocity potentials; one due to scattering in the presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation by the heave motion on cahn water (radiation problem). For each part, the velocity potential is derived by considering two regions, namely, interior region and exterior region. The complex matrix equations are solved numerically to determine the unknown coefficients to compute the wave loads.Some numerical results are presented for different depth to radius and draft to radius ratios.

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Hydrodynamic interactions in floating cylinder arrays—II. Wave radiation

Cited by 46 publications

References 8 publications

Hydrodynamic interactions of water waves with a group of independently oscillating truncated circular cylinders

Hydrodynamic interactions of water waves with a group of independently oscillating truncated circular cylinders

Water Wave Interaction by Dual Cylindrical Cylinders with Partial Porous Area

Wave loadings on a vertical cylinder due to heave motion

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