Diffraction of hydroelastic waves by multiple vertical circular cylinders
Diffraction of hydroelastic waves by multiple vertical circular cylinders
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.
45-64
Ren, K.
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Wu, G.X.
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Ji, C.Y.
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Ren, K.
d579a21f-df53-4646-b697-5314e79d82e0
Wu, G.X.
ea84a3ec-9fef-49a0-bdcd-586ea6e344bf
Ji, C.Y.
a079236e-f1d7-492c-a5d9-327b8601a716
Ren, K., Wu, G.X. and Ji, C.Y.
(2018)
Diffraction of hydroelastic waves by multiple vertical circular cylinders.
Journal of Engineering Mathematics, 113, .
(doi:10.1007/s10665-018-9973-7).
Abstract
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.
Text
s10665-018-9973-7
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Accepted/In Press date: 21 September 2018
e-pub ahead of print date: 10 November 2018
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Local EPrints ID: 493482
URI: http://eprints.soton.ac.uk/id/eprint/493482
ISSN: 0022-0833
PURE UUID: d8bbea71-a790-4361-8713-5eeee071c023
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Date deposited: 03 Sep 2024 16:58
Last modified: 04 Sep 2024 02:10
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Author:
K. Ren
Author:
G.X. Wu
Author:
C.Y. Ji
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