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

Ren, Kan; Wu, G.X.; Ji, Chao

doi:10.1016/j.jfluidstructs.2018.07.008

Cited by 14 publications

(18 citation statements)

References 41 publications

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“…(3) on S I − S k F , it allows the surface integral over S I − S k F to be converted into a line integral of the edge of cylinder k only based on the Gauss theorem. Following Ren et al [29], Eq. 17can then be written as…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In addition to the work above on interaction between cylinders with the free surface waves, the interaction of hydroelastic waves with ocean structures also has become increasingly relevant and important for polar engineering. These kinds of problems elicited strong interest from many authors, for example: two-dimensional works by Sturova [22][23][24], Ren et al [25], and Li et al [26][27][28]-for a submerged/floating body in a polynya; and similar threedimensional work by Ren et al [29]. In some cases, the free surface in the polynya may become frozen as well, and the surface of offshore structures becomes directly connected to the edge of ice sheet.…”

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: Mathematical Formulationmentioning

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 3-D problems, Ren, Wu & Ji (2018) considered a vertical circular cylinder in a polynya with circular shape through the series expansion. For a general 3-D problem with a practical structure and arbitrary polynya edge shape, its solution through conventional numerical methods becomes a major challenge.…”

Section: Introductionmentioning

confidence: 99%

Interactions of waves with a body floating in an open water channel confined by two semi-infinite ice sheets

Ren

2021

J. Fluid Mech.

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“…[44,45]) or in a circular polynya (e.g. [46]). Thus the main goal of the present work is to develop an accurate numerical solution approach for a 3D structure with a complicated shape, and undertake in depth study for the behaviour of a practical structure in the polynya surrounded by ice sheet.…”

Section: Introductionmentioning

confidence: 99%

A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya

Shi

2020

Journal of Computational Physics

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A hybrid method is developed to solve the interaction problem of wave with a three dimensional floating structure in a polynya. The linearized velocity potential theory is used for fluid flow, and the thin elastic plate model is adopted for the infinitely extended ice sheet. Because of sudden change of the upper boundary of the computational domain, namely from the ice sheet to the free surface, the domain is divided into two sub-domains, one below free surface and the other below the ice sheet. The solution method is divided into three components. The first component is the integral equation over the structure surface and the interface of the two sub-domains. In the second component, the velocity potential is expanded into a series of eigenfunctions in the vertical directions, which avoids the numerical difficulty in calculation of the fifth derivatives. This is coupled with a series of integral equations along the edge of the ice sheet. In the third component of the method, two orthogonal inner products are used to impose the continuity conditions of the velocity and pressure on the interface, as well as the boundary conditions on the ice edge. The developed method is verified through comparison with the analytical solution for a circular cylinder. Case study is then made for a FPSO in a polynya with different shapes and floating positions. The hydrodynamic coefficients, wave exciting force and wave elevation in polynya are provided and analyzed.

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

Cited by 14 publications

References 41 publications

Diffraction of hydroelastic waves by multiple vertical circular cylinders

Diffraction of hydroelastic waves by multiple vertical circular cylinders

Interactions of waves with a body floating in an open water channel confined by two semi-infinite ice sheets

A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya

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