Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack are considered based on the linearized velocity potential theory together with multipole expansion. The solution starts from the potential due to a single source, or the Green function satisfying both the...
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ftucl:oai:eprints.ucl.ac.uk.OAI2:10048106 2023-12-24T10:17:35+01:00 Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack Li, ZF Wu, GX Ji, CY 2018-04-30 text https://discovery.ucl.ac.uk/id/eprint/10048106/1/jfm-manuscript%20%28002%29%20%28002%29.pdf https://discovery.ucl.ac.uk/id/eprint/10048106/ eng eng https://discovery.ucl.ac.uk/id/eprint/10048106/1/jfm-manuscript%20%28002%29%20%28002%29.pdf https://discovery.ucl.ac.uk/id/eprint/10048106/ open Journal of Fluid Mechanics , 845 pp. 682-712. (2018) Ice sheets wave scattering wave-structure interactions Article 2018 ftucl 2023-11-27T13:07:34Z Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack are considered based on the linearized velocity potential theory together with multipole expansion. The solution starts from the potential due to a single source, or the Green function satisfying both the ice sheet condition and the crack condition, as well as all other conditions apart from that on the body surface. This is obtained in an integral form through Fourier transform, in contrast to what has been obtained previously in which the Green function is in the series form based on the method of matched eigenfunction expansion in each domain on both sides of the crack. The multipole expansion is then constructed through direct differentiation of the Green function with respect to the source position, rather than treating each multipole as a separate problem. The use of the Green function enables the problem of wave diffraction by the crack in the absence of the body to be solved directly. For the circular cylinder, wave radiation and diffraction problems are solved by applying the body surface boundary condition to the multipole expansion, through which the unknown coefficients are obtained. Extensive results are provided for the added mass and damping coefficient as well as the exciting force. When the cylinder is away from the crack, a wide spacing approximation method is used, which is found to provide accurate results apart from when the cylinder is quite close to the crack. Article in Journal/Newspaper Ice Sheet University College London: UCL Discovery |
institution |
Open Polar |
collection |
University College London: UCL Discovery |
op_collection_id |
ftucl |
language |
English |
topic |
Ice sheets wave scattering wave-structure interactions |
spellingShingle |
Ice sheets wave scattering wave-structure interactions Li, ZF Wu, GX Ji, CY Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
topic_facet |
Ice sheets wave scattering wave-structure interactions |
description |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack are considered based on the linearized velocity potential theory together with multipole expansion. The solution starts from the potential due to a single source, or the Green function satisfying both the ice sheet condition and the crack condition, as well as all other conditions apart from that on the body surface. This is obtained in an integral form through Fourier transform, in contrast to what has been obtained previously in which the Green function is in the series form based on the method of matched eigenfunction expansion in each domain on both sides of the crack. The multipole expansion is then constructed through direct differentiation of the Green function with respect to the source position, rather than treating each multipole as a separate problem. The use of the Green function enables the problem of wave diffraction by the crack in the absence of the body to be solved directly. For the circular cylinder, wave radiation and diffraction problems are solved by applying the body surface boundary condition to the multipole expansion, through which the unknown coefficients are obtained. Extensive results are provided for the added mass and damping coefficient as well as the exciting force. When the cylinder is away from the crack, a wide spacing approximation method is used, which is found to provide accurate results apart from when the cylinder is quite close to the crack. |
format |
Article in Journal/Newspaper |
author |
Li, ZF Wu, GX Ji, CY |
author_facet |
Li, ZF Wu, GX Ji, CY |
author_sort |
Li, ZF |
title |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
title_short |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
title_full |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
title_fullStr |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
title_full_unstemmed |
Wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
title_sort |
wave radiation and diffraction by a circular cylinder submerged below an ice sheet with a crack |
publishDate |
2018 |
url |
https://discovery.ucl.ac.uk/id/eprint/10048106/1/jfm-manuscript%20%28002%29%20%28002%29.pdf https://discovery.ucl.ac.uk/id/eprint/10048106/ |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics , 845 pp. 682-712. (2018) |
op_relation |
https://discovery.ucl.ac.uk/id/eprint/10048106/1/jfm-manuscript%20%28002%29%20%28002%29.pdf https://discovery.ucl.ac.uk/id/eprint/10048106/ |
op_rights |
open |
_version_ |
1786205836935168000 |