A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment
The study of wave action on large, elastic floating bodies has received considerable attention, finding applications in both geophysics and marine engineering problems. In this context, a higher order finite-element method (FEM) for the numerical simulation of the transient response of thin, floatin...
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crroyalsociety:10.1098/rspa.2014.0643 2024-06-23T07:53:51+00:00 A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment Papathanasiou, T. K. Karperaki, A. Theotokoglou, E. E. Belibassakis, K. A. 2015 http://dx.doi.org/10.1098/rspa.2014.0643 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2014.0643 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2014.0643 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 471, issue 2173, page 20140643 ISSN 1364-5021 1471-2946 journal-article 2015 crroyalsociety https://doi.org/10.1098/rspa.2014.0643 2024-06-04T06:23:04Z The study of wave action on large, elastic floating bodies has received considerable attention, finding applications in both geophysics and marine engineering problems. In this context, a higher order finite-element method (FEM) for the numerical simulation of the transient response of thin, floating bodies in shallow water wave conditions is presented. The hydroelastic initial-boundary value problem, in an inhomogeneous environment, characterized by bathymetry and plate thickness variation, is analysed for two configurations: (i) a freely floating strip modelling an ice floe or a very large floating structure and (ii) a semi-fixed floating beam representing an ice shelf or shore fast ice, both under long-wave forcing. The variational formulation of these problems is derived, along with the energy conservation principle and the weak solution stability estimates. A special higher order FEM is developed and applied to the calculation of the numerical solution. Results are presented and compared against established methodologies, thus validating the present method and illustrating its numerical efficiency. Furthermore, theoretical results concerning the energy conservation principle are verified, providing a valuable insight into the physical phenomenon investigated. Article in Journal/Newspaper Ice Shelf The Royal Society Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 2173 20140643 |
institution |
Open Polar |
collection |
The Royal Society |
op_collection_id |
crroyalsociety |
language |
English |
description |
The study of wave action on large, elastic floating bodies has received considerable attention, finding applications in both geophysics and marine engineering problems. In this context, a higher order finite-element method (FEM) for the numerical simulation of the transient response of thin, floating bodies in shallow water wave conditions is presented. The hydroelastic initial-boundary value problem, in an inhomogeneous environment, characterized by bathymetry and plate thickness variation, is analysed for two configurations: (i) a freely floating strip modelling an ice floe or a very large floating structure and (ii) a semi-fixed floating beam representing an ice shelf or shore fast ice, both under long-wave forcing. The variational formulation of these problems is derived, along with the energy conservation principle and the weak solution stability estimates. A special higher order FEM is developed and applied to the calculation of the numerical solution. Results are presented and compared against established methodologies, thus validating the present method and illustrating its numerical efficiency. Furthermore, theoretical results concerning the energy conservation principle are verified, providing a valuable insight into the physical phenomenon investigated. |
format |
Article in Journal/Newspaper |
author |
Papathanasiou, T. K. Karperaki, A. Theotokoglou, E. E. Belibassakis, K. A. |
spellingShingle |
Papathanasiou, T. K. Karperaki, A. Theotokoglou, E. E. Belibassakis, K. A. A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
author_facet |
Papathanasiou, T. K. Karperaki, A. Theotokoglou, E. E. Belibassakis, K. A. |
author_sort |
Papathanasiou, T. K. |
title |
A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
title_short |
A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
title_full |
A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
title_fullStr |
A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
title_full_unstemmed |
A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
title_sort |
higher order fem for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment |
publisher |
The Royal Society |
publishDate |
2015 |
url |
http://dx.doi.org/10.1098/rspa.2014.0643 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2014.0643 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2014.0643 |
genre |
Ice Shelf |
genre_facet |
Ice Shelf |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 471, issue 2173, page 20140643 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.2014.0643 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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471 |
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2173 |
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20140643 |
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1802645701175279616 |