A coupled fluid-elasticity model for the wave forcing of an ice-shelf
A mathematical model for predicting the vibrations of ice-shelves based on linear elasticity for the ice-shelf motion and potential flow for the fluid motion is developed. No simplifying assumptions such as the thinness of the ice-shelf or the shallowness of the fluid are made. The ice-shelf is mode...
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ftunivnewcastnsw:uon:38077 2023-09-05T13:20:20+02:00 A coupled fluid-elasticity model for the wave forcing of an ice-shelf Kalyanaraman, Balaje Meylan, Michael H. Bennetts, Luke G. Lamichhane, Bishnu P. The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences 2020 http://hdl.handle.net/1959.13/1424435 eng eng Academic Press ARC.IC170100006 http://purl.org/au-research/grants/arc/IC170100006 Journal of Fluids and Structures Vol. 97, Issue August 2020, no. 103074 10.1016/j.jfluidstructs.2020.103074 http://hdl.handle.net/1959.13/1424435 uon:38077 ISSN:0889-9746 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ linear elasticity ice-shelf vibrations finite element method infinite fluid journal article 2020 ftunivnewcastnsw 2023-08-14T22:26:31Z A mathematical model for predicting the vibrations of ice-shelves based on linear elasticity for the ice-shelf motion and potential flow for the fluid motion is developed. No simplifying assumptions such as the thinness of the ice-shelf or the shallowness of the fluid are made. The ice-shelf is modelled as a two-dimensional elastic body of an arbitrary geometry under plane-strain conditions. The model is solved using a coupled finite element method incorporating an integral equation boundary condition to represent the radiation of energy in the infinite fluid. The solution is validated by comparison with thin-beam theory and by checking energy conservation. Using the analyticity of the resulting linear system, we show that the finite element solution can be extended to the complex plane using interpolation of the linear system. This analytic extension shows that the system response is governed by a series of singularities in the complex plane. The method is illustrated through time-domain simulations as well as results in the frequency domain. 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 |
linear elasticity ice-shelf vibrations finite element method infinite fluid |
spellingShingle |
linear elasticity ice-shelf vibrations finite element method infinite fluid Kalyanaraman, Balaje Meylan, Michael H. Bennetts, Luke G. Lamichhane, Bishnu P. A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
topic_facet |
linear elasticity ice-shelf vibrations finite element method infinite fluid |
description |
A mathematical model for predicting the vibrations of ice-shelves based on linear elasticity for the ice-shelf motion and potential flow for the fluid motion is developed. No simplifying assumptions such as the thinness of the ice-shelf or the shallowness of the fluid are made. The ice-shelf is modelled as a two-dimensional elastic body of an arbitrary geometry under plane-strain conditions. The model is solved using a coupled finite element method incorporating an integral equation boundary condition to represent the radiation of energy in the infinite fluid. The solution is validated by comparison with thin-beam theory and by checking energy conservation. Using the analyticity of the resulting linear system, we show that the finite element solution can be extended to the complex plane using interpolation of the linear system. This analytic extension shows that the system response is governed by a series of singularities in the complex plane. The method is illustrated through time-domain simulations as well as results in the frequency domain. |
author2 |
The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences |
format |
Article in Journal/Newspaper |
author |
Kalyanaraman, Balaje Meylan, Michael H. Bennetts, Luke G. Lamichhane, Bishnu P. |
author_facet |
Kalyanaraman, Balaje Meylan, Michael H. Bennetts, Luke G. Lamichhane, Bishnu P. |
author_sort |
Kalyanaraman, Balaje |
title |
A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
title_short |
A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
title_full |
A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
title_fullStr |
A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
title_full_unstemmed |
A coupled fluid-elasticity model for the wave forcing of an ice-shelf |
title_sort |
coupled fluid-elasticity model for the wave forcing of an ice-shelf |
publisher |
Academic Press |
publishDate |
2020 |
url |
http://hdl.handle.net/1959.13/1424435 |
genre |
Ice Shelf Ice Shelves |
genre_facet |
Ice Shelf Ice Shelves |
op_relation |
ARC.IC170100006 http://purl.org/au-research/grants/arc/IC170100006 Journal of Fluids and Structures Vol. 97, Issue August 2020, no. 103074 10.1016/j.jfluidstructs.2020.103074 http://hdl.handle.net/1959.13/1424435 uon:38077 ISSN:0889-9746 |
op_rights |
© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
_version_ |
1776201027816521728 |