Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf
This work investigates the interaction between water waves and multiple ice shelf fragments in front of a semi-infinite ice sheet. The hydrodynamics are modelled using shallow water wave theory and the ice shelf vibration is modelled using Euler–Bernoulli beam theory. The ensuing multiple scattering...
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MDPI AG
2024
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ftdoajarticles:oai:doaj.org/article:46a9ff7afc5543de8117dfea89d34e76 2024-09-15T18:12:24+00:00 Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf Faraj Alshahrani Michael H. Meylan Ben Wilks 2024-08-01T00:00:00Z https://doi.org/10.3390/fluids9080192 https://doaj.org/article/46a9ff7afc5543de8117dfea89d34e76 EN eng MDPI AG https://www.mdpi.com/2311-5521/9/8/192 https://doaj.org/toc/2311-5521 doi:10.3390/fluids9080192 2311-5521 https://doaj.org/article/46a9ff7afc5543de8117dfea89d34e76 Fluids, Vol 9, Iss 8, p 192 (2024) ice shelf transfer matrix energy conservation shallow water time domain Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 article 2024 ftdoajarticles https://doi.org/10.3390/fluids9080192 2024-09-02T15:34:38Z This work investigates the interaction between water waves and multiple ice shelf fragments in front of a semi-infinite ice sheet. The hydrodynamics are modelled using shallow water wave theory and the ice shelf vibration is modelled using Euler–Bernoulli beam theory. The ensuing multiple scattering problem is solved in the frequency domain using the transfer matrix method. The appropriate conservation of energy identity is derived in order to validate our numerical calculations. The transient scattering problem for incident wave packets is constructed from the frequency domain solutions. By incorporating multiple scattering, this paper extends previous models that have only considered a continuous semi-infinite ice shelf. This paper serves as a fundamental step towards developing a comprehensive model to simulate the breakup of ice shelves. Article in Journal/Newspaper Ice Sheet Ice Shelf Ice Shelves Directory of Open Access Journals: DOAJ Articles Fluids 9 8 192 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
ice shelf transfer matrix energy conservation shallow water time domain Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
spellingShingle |
ice shelf transfer matrix energy conservation shallow water time domain Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Faraj Alshahrani Michael H. Meylan Ben Wilks Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
topic_facet |
ice shelf transfer matrix energy conservation shallow water time domain Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
description |
This work investigates the interaction between water waves and multiple ice shelf fragments in front of a semi-infinite ice sheet. The hydrodynamics are modelled using shallow water wave theory and the ice shelf vibration is modelled using Euler–Bernoulli beam theory. The ensuing multiple scattering problem is solved in the frequency domain using the transfer matrix method. The appropriate conservation of energy identity is derived in order to validate our numerical calculations. The transient scattering problem for incident wave packets is constructed from the frequency domain solutions. By incorporating multiple scattering, this paper extends previous models that have only considered a continuous semi-infinite ice shelf. This paper serves as a fundamental step towards developing a comprehensive model to simulate the breakup of ice shelves. |
format |
Article in Journal/Newspaper |
author |
Faraj Alshahrani Michael H. Meylan Ben Wilks |
author_facet |
Faraj Alshahrani Michael H. Meylan Ben Wilks |
author_sort |
Faraj Alshahrani |
title |
Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
title_short |
Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
title_full |
Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
title_fullStr |
Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
title_full_unstemmed |
Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf |
title_sort |
transient shallow water wave interactions with a partially fragmented ice shelf |
publisher |
MDPI AG |
publishDate |
2024 |
url |
https://doi.org/10.3390/fluids9080192 https://doaj.org/article/46a9ff7afc5543de8117dfea89d34e76 |
genre |
Ice Sheet Ice Shelf Ice Shelves |
genre_facet |
Ice Sheet Ice Shelf Ice Shelves |
op_source |
Fluids, Vol 9, Iss 8, p 192 (2024) |
op_relation |
https://www.mdpi.com/2311-5521/9/8/192 https://doaj.org/toc/2311-5521 doi:10.3390/fluids9080192 2311-5521 https://doaj.org/article/46a9ff7afc5543de8117dfea89d34e76 |
op_doi |
https://doi.org/10.3390/fluids9080192 |
container_title |
Fluids |
container_volume |
9 |
container_issue |
8 |
container_start_page |
192 |
_version_ |
1810449981442621440 |