Wave scattering at the sea-ice/ice-shelf transition with other applications

We present a mathematical model that describes how ice-coupled (flexural-gravity) waves traveling beneath a uniform, floating sea-ice sheet, defined over $(-\infty,0)$, propagate into a second ice sheet $(l,\infty)$ of different thickness by way of an arbitrarily defined transition region of finite...

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Published in:SIAM Journal on Applied Mathematics
Main Authors: Williams, TDC, Squire, VA
Format: Article in Journal/Newspaper
Language:English
Published: 2007
Subjects:
Online Access:https://hdl.handle.net/1983/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea
https://research-information.bris.ac.uk/en/publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea
https://doi.org/10.1137/060659351
http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000067000004000938000001&idtype=cvips
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spelling ftubristolcris:oai:research-information.bris.ac.uk:publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea 2024-05-19T07:32:34+00:00 Wave scattering at the sea-ice/ice-shelf transition with other applications Williams, TDC Squire, VA 2007-07 https://hdl.handle.net/1983/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea https://research-information.bris.ac.uk/en/publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea https://doi.org/10.1137/060659351 http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000067000004000938000001&idtype=cvips eng eng https://research-information.bris.ac.uk/en/publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea info:eu-repo/semantics/restrictedAccess Williams , TDC & Squire , VA 2007 , ' Wave scattering at the sea-ice/ice-shelf transition with other applications ' , SIAM Journal on Applied Mathematics , vol. 67 (4) , pp. 938 - 959 . https://doi.org/10.1137/060659351 article 2007 ftubristolcris https://doi.org/10.1137/060659351 2024-04-30T23:37:13Z We present a mathematical model that describes how ice-coupled (flexural-gravity) waves traveling beneath a uniform, floating sea-ice sheet, defined over $(-\infty,0)$, propagate into a second ice sheet $(l,\infty)$ of different thickness by way of an arbitrarily defined transition region of finite width $(0,l)$. Each ice sheet is represented as an Euler–Bernoulli thin plate with a prescribed thickness and material properties, either or both of which vary across the transition. The most familiar application of this geometry is to sea-ice abutting an ice-shelf—a common occurrence found in the waters around Antarctica and parts of the Arctic or to sea-ice skirting sikussak—the band of extremely thick coastal fast ice that can form when local ice is sheltered from destructive storms. Another application is to breakwaters, and this is also discussed. By using Green's theorem two coupled integral equations are derived: one defined over $(0,l)$ and the second of the Wiener–Hopf type, defined over $(l,\infty)$. The latter is solved analytically, allowing the integral equations to be decoupled and the first equation to be solved numerically. Results are presented for the geophysical and engineering examples referred to above. We present a mathematical model that describes how ice-coupled (flexural-gravity) waves traveling beneath a uniform, floating sea-ice sheet, defined over $(-\infty,0)$, propagate into a second ice sheet $(l,\infty)$ of different thickness by way of an arbitrarily defined transition region of finite width $(0,l)$. Each ice sheet is represented as an Euler–Bernoulli thin plate with a prescribed thickness and material properties, either or both of which vary across the transition. The most familiar application of this geometry is to sea-ice abutting an ice-shelf—a common occurrence found in the waters around Antarctica and parts of the Arctic or to sea-ice skirting sikussak—the band of extremely thick coastal fast ice that can form when local ice is sheltered from destructive storms. ... Article in Journal/Newspaper Antarc* Antarctica Arctic Ice Sheet Ice Shelf Sea ice University of Bristol: Bristol Research SIAM Journal on Applied Mathematics 67 4 938 959
institution Open Polar
collection University of Bristol: Bristol Research
op_collection_id ftubristolcris
language English
description We present a mathematical model that describes how ice-coupled (flexural-gravity) waves traveling beneath a uniform, floating sea-ice sheet, defined over $(-\infty,0)$, propagate into a second ice sheet $(l,\infty)$ of different thickness by way of an arbitrarily defined transition region of finite width $(0,l)$. Each ice sheet is represented as an Euler–Bernoulli thin plate with a prescribed thickness and material properties, either or both of which vary across the transition. The most familiar application of this geometry is to sea-ice abutting an ice-shelf—a common occurrence found in the waters around Antarctica and parts of the Arctic or to sea-ice skirting sikussak—the band of extremely thick coastal fast ice that can form when local ice is sheltered from destructive storms. Another application is to breakwaters, and this is also discussed. By using Green's theorem two coupled integral equations are derived: one defined over $(0,l)$ and the second of the Wiener–Hopf type, defined over $(l,\infty)$. The latter is solved analytically, allowing the integral equations to be decoupled and the first equation to be solved numerically. Results are presented for the geophysical and engineering examples referred to above. We present a mathematical model that describes how ice-coupled (flexural-gravity) waves traveling beneath a uniform, floating sea-ice sheet, defined over $(-\infty,0)$, propagate into a second ice sheet $(l,\infty)$ of different thickness by way of an arbitrarily defined transition region of finite width $(0,l)$. Each ice sheet is represented as an Euler–Bernoulli thin plate with a prescribed thickness and material properties, either or both of which vary across the transition. The most familiar application of this geometry is to sea-ice abutting an ice-shelf—a common occurrence found in the waters around Antarctica and parts of the Arctic or to sea-ice skirting sikussak—the band of extremely thick coastal fast ice that can form when local ice is sheltered from destructive storms. ...
format Article in Journal/Newspaper
author Williams, TDC
Squire, VA
spellingShingle Williams, TDC
Squire, VA
Wave scattering at the sea-ice/ice-shelf transition with other applications
author_facet Williams, TDC
Squire, VA
author_sort Williams, TDC
title Wave scattering at the sea-ice/ice-shelf transition with other applications
title_short Wave scattering at the sea-ice/ice-shelf transition with other applications
title_full Wave scattering at the sea-ice/ice-shelf transition with other applications
title_fullStr Wave scattering at the sea-ice/ice-shelf transition with other applications
title_full_unstemmed Wave scattering at the sea-ice/ice-shelf transition with other applications
title_sort wave scattering at the sea-ice/ice-shelf transition with other applications
publishDate 2007
url https://hdl.handle.net/1983/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea
https://research-information.bris.ac.uk/en/publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea
https://doi.org/10.1137/060659351
http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000067000004000938000001&idtype=cvips
genre Antarc*
Antarctica
Arctic
Ice Sheet
Ice Shelf
Sea ice
genre_facet Antarc*
Antarctica
Arctic
Ice Sheet
Ice Shelf
Sea ice
op_source Williams , TDC & Squire , VA 2007 , ' Wave scattering at the sea-ice/ice-shelf transition with other applications ' , SIAM Journal on Applied Mathematics , vol. 67 (4) , pp. 938 - 959 . https://doi.org/10.1137/060659351
op_relation https://research-information.bris.ac.uk/en/publications/c45b3ad3-8dda-45eb-8e31-2452f8f4c9ea
op_rights info:eu-repo/semantics/restrictedAccess
op_doi https://doi.org/10.1137/060659351
container_title SIAM Journal on Applied Mathematics
container_volume 67
container_issue 4
container_start_page 938
op_container_end_page 959
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