Hydroelastic wave diffraction by a vertical cylinder

Brocklehurst, Paul; Korobkin, A.A.; Părău, Emilian

doi:10.1098/rsta.2011.0110

Cited by 34 publications

(41 citation statements)

References 21 publications

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“…We then consider a case of single cylinder with the radius of c piercing through the ice sheet with the clamped edge. The problem has been solved by Brocklehurst et al [33] using the Weber transform. We adopt the same parameters as those in Fig.…”

Section: Validationmentioning

confidence: 99%

“…For three-dimensional problems, Malenica et al [32] investigated wave scattering of a bottommounted vertical cylinder frozen in a finite annular ice sheet by the eigenfunction expansion method, with the ice edge being clamped into the cylinder, while at the other end, the edge contacting open water is assumed free. Brocklehurst et al [33] further considered a single vertical cylinder piercing through an ice sheet of infinite extent using a Weber transform. Results for the deflection and strain of the ice sheet, the horizontal wave forces as well as the vertical shear forces due to the clamped edge were provided.…”

Section: Introductionmentioning

confidence: 99%

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Diffraction of hydroelastic waves by multiple vertical circular cylinders

Ren

2018

J Eng Math

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The diffraction problem of hydroelastic waves beneath an ice sheet by multiple bottom-mounted circular cylinders is considered. The elastic thin-plate theory is adopted to model the ice sheet, while the linearized velocity potential theory adopted for the fluid flow. The velocity potential corresponding to each cylinder is expanded into a series of eigenfunctions, and the total potential is expressed as a summation of these expansions over the entire NC number of cylinders. For each cylinder, the Green's second identity is used outside its domain to obtain a set of linear equations. For each different cylinder, the domain used is different. NC cylinders give NC sets of coupled linear equations. Investigations are made for different arrangements of cylinders, piercing through ice sheets. Results for the wave forces on the cylinders with clamped and free conditions of the ice edge are obtained. Physical phenomena corresponding to cylinders arranged in square, in an array, in a double-array and in a staggered double array are discussed.

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Section: Validationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Diffraction of hydroelastic waves by multiple vertical circular cylinders

Ren

2018

J Eng Math

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“…For the three-dimensional diffraction problem, Malenica & Korobkin (2003) investigated the interaction between waves and a vertical cylinder clamped by a finite ring-shaped ice sheet. Brocklehurst et al (2011) considered the hydroelastic wave diffraction by a vertical cylinder being frozen into an ice sheet of infinite extent.…”

Section: Introductionmentioning

confidence: 99%

Wave diffraction and radiation by a vertical circular cylinder standing in a three-dimensional polynya

Ren

2018

Journal of Fluids and Structures

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The wave diffraction and radiation problem of a body in a polynya surrounded by an ice sheet extending to infinity is considered through a vertical circular cylinder. The ice sheet is modelled through the elastic thin-plate theory and the fluid flow through the linearized velocity potential theory. In particular, when the polynya is of the circular shape, eigenfunction expansion method is applied to the two regions below the ice sheet and the free surface respectively, and the velocity and pressure continuity conditions are imposed on the interface of the two regions. The wave motion in the polynya, the hydrodynamic coefficients as well as the exciting forces on a body located arbitrarily in the polynya are calculated.The nature of highly oscillatory behaviour of the results is investigated and their physical implications are discussed.

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“…Brocklehurst et al [32] analyse the linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder. The fluid is of finite depth and is covered by an ice sheet of infinite extent, which is clamped to the cylinder surface.…”

Section: Organization Of the Theme Issuementioning

confidence: 99%

The mathematical challenges and modelling of hydroelasticity

Korobkin

Părău

Vanden‐Broeck

2011

Phil. Trans. R. Soc. A.

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Hydroelasticity brings together hydrodynamics and elastic theories. It is concerned with deformations of elastic bodies responding to hydrodynamic excitations, which themselves depend on elastic deformation. This Theme Issue is intended to identify and to outline mathematical problems of modern hydroelasticity and to review recent developments in this area, including physically and mathematically elaborated models and the techniques used in their analysis.

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Hydroelastic wave diffraction by a vertical cylinder

Cited by 34 publications

References 21 publications

Diffraction of hydroelastic waves by multiple vertical circular cylinders

Diffraction of hydroelastic waves by multiple vertical circular cylinders

Wave diffraction and radiation by a vertical circular cylinder standing in a three-dimensional polynya

The mathematical challenges and modelling of hydroelasticity

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