Time-domain and modal response of ice shelves to wave forcing using the finite element method
The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special non-local linear operator with forcing. This ope...
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ftunivnewcastnsw:uon:35477 2023-05-15T16:41:44+02:00 Time-domain and modal response of ice shelves to wave forcing using the finite element method Ilyas, Muhammad Meylan, Michael H. Lamichhane, Bishnu Bennetts, Luke G. The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences 2018 http://hdl.handle.net/1959.13/1405372 eng eng Elsevier Journal of Fluids and Structures Vol. 80, Issue July 2018, p. 113-131 10.1016/j.jfluidstructs.2018.03.010 http://hdl.handle.net/1959.13/1405372 uon:35477 ISSN:0889-9746 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. CC-BY-NC-ND ice shelf linear hydroelasticity time-domain problem journal article 2018 ftunivnewcastnsw 2020-06-29T22:24:23Z The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special non-local linear operator with forcing. This operator allows the computational domain to be restricted to the water cavity beneath the ice shelf. The ice shelf motion is expanded using the in vacuo elastic modes and the method of added mass and damping, commonly used in the hydroelasticity of ships, is employed. The ice shelf is assumed to be of constant thickness while the fluid domain is allowed to vary. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. It is shown that shelf submergence affects the resonant vibration frequency, whereas the corresponding mode shapes are insensitive to the submergence in constant depth. Further, the modes are shown to have a pr operty of increasing node number with increasing frequency. Article in Journal/Newspaper Ice Shelf Ice Shelves NOVA: The University of Newcastle Research Online (Australia) |
institution |
Open Polar |
collection |
NOVA: The University of Newcastle Research Online (Australia) |
op_collection_id |
ftunivnewcastnsw |
language |
English |
topic |
ice shelf linear hydroelasticity time-domain problem |
spellingShingle |
ice shelf linear hydroelasticity time-domain problem Ilyas, Muhammad Meylan, Michael H. Lamichhane, Bishnu Bennetts, Luke G. Time-domain and modal response of ice shelves to wave forcing using the finite element method |
topic_facet |
ice shelf linear hydroelasticity time-domain problem |
description |
The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special non-local linear operator with forcing. This operator allows the computational domain to be restricted to the water cavity beneath the ice shelf. The ice shelf motion is expanded using the in vacuo elastic modes and the method of added mass and damping, commonly used in the hydroelasticity of ships, is employed. The ice shelf is assumed to be of constant thickness while the fluid domain is allowed to vary. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. It is shown that shelf submergence affects the resonant vibration frequency, whereas the corresponding mode shapes are insensitive to the submergence in constant depth. Further, the modes are shown to have a pr operty of increasing node number with increasing frequency. |
author2 |
The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences |
format |
Article in Journal/Newspaper |
author |
Ilyas, Muhammad Meylan, Michael H. Lamichhane, Bishnu Bennetts, Luke G. |
author_facet |
Ilyas, Muhammad Meylan, Michael H. Lamichhane, Bishnu Bennetts, Luke G. |
author_sort |
Ilyas, Muhammad |
title |
Time-domain and modal response of ice shelves to wave forcing using the finite element method |
title_short |
Time-domain and modal response of ice shelves to wave forcing using the finite element method |
title_full |
Time-domain and modal response of ice shelves to wave forcing using the finite element method |
title_fullStr |
Time-domain and modal response of ice shelves to wave forcing using the finite element method |
title_full_unstemmed |
Time-domain and modal response of ice shelves to wave forcing using the finite element method |
title_sort |
time-domain and modal response of ice shelves to wave forcing using the finite element method |
publisher |
Elsevier |
publishDate |
2018 |
url |
http://hdl.handle.net/1959.13/1405372 |
genre |
Ice Shelf Ice Shelves |
genre_facet |
Ice Shelf Ice Shelves |
op_relation |
Journal of Fluids and Structures Vol. 80, Issue July 2018, p. 113-131 10.1016/j.jfluidstructs.2018.03.010 http://hdl.handle.net/1959.13/1405372 uon:35477 ISSN:0889-9746 |
op_rights |
© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. |
op_rightsnorm |
CC-BY-NC-ND |
_version_ |
1766032198749650944 |