A thin-plate approximation for ocean wave interactions with an ice shelf.
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| Title: | A thin-plate approximation for ocean wave interactions with an ice shelf. |
|---|---|
| Authors: | Bennetts, Luke G.1 (AUTHOR) luke.bennetts@adelaide.edu.au, Williams, Timothy D.2,3 (AUTHOR), Porter, Richard4 (AUTHOR) |
| Source: | Journal of Fluid Mechanics. 4/10/2024, Vol. 984, p1-27. 27p. |
| Subjects: | Ocean waves, Ice shelves, Vertical motion, Variational principles, Linear equations, Gravity waves |
| Abstract: | A variational principle is proposed to derive the governing equations for the problem of ocean wave interactions with a floating ice shelf, where the ice shelf is modelled by the full linear equations of elasticity and has an Archimedean draught. The variational principle is used to form a thin-plate approximation for the ice shelf, which includes water–ice coupling at the shelf front and extensional waves in the shelf, in contrast to the benchmark thin-plate approximation for ocean wave interactions with an ice shelf. The thin-plate approximation is combined with a single-mode approximation in the water, where the vertical motion is constrained to the eigenfunction that supports propagating waves. The new terms in the approximation are shown to have a major impact on predictions of ice shelf strains for wave periods in the swell regime. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 176764312 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A thin-plate approximation for ocean wave interactions with an ice shelf. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bennetts%2C+Luke+G%2E%22">Bennetts, Luke G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> luke.bennetts@adelaide.edu.au</i><br /><searchLink fieldCode="AR" term="%22Williams%2C+Timothy+D%2E%22">Williams, Timothy D.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Porter%2C+Richard%22">Porter, Richard</searchLink><relatesTo>4</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 4/10/2024, Vol. 984, p1-27. 27p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ocean+waves%22">Ocean waves</searchLink><br /><searchLink fieldCode="DE" term="%22Ice+shelves%22">Ice shelves</searchLink><br /><searchLink fieldCode="DE" term="%22Vertical+motion%22">Vertical motion</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+principles%22">Variational principles</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+equations%22">Linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Gravity+waves%22">Gravity waves</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A variational principle is proposed to derive the governing equations for the problem of ocean wave interactions with a floating ice shelf, where the ice shelf is modelled by the full linear equations of elasticity and has an Archimedean draught. The variational principle is used to form a thin-plate approximation for the ice shelf, which includes water–ice coupling at the shelf front and extensional waves in the shelf, in contrast to the benchmark thin-plate approximation for ocean wave interactions with an ice shelf. The thin-plate approximation is combined with a single-mode approximation in the water, where the vertical motion is constrained to the eigenfunction that supports propagating waves. The new terms in the approximation are shown to have a major impact on predictions of ice shelf strains for wave periods in the swell regime. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2024.200 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 27 StartPage: 1 Subjects: – SubjectFull: Ocean waves Type: general – SubjectFull: Ice shelves Type: general – SubjectFull: Vertical motion Type: general – SubjectFull: Variational principles Type: general – SubjectFull: Linear equations Type: general – SubjectFull: Gravity waves Type: general Titles: – TitleFull: A thin-plate approximation for ocean wave interactions with an ice shelf. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bennetts, Luke G. – PersonEntity: Name: NameFull: Williams, Timothy D. – PersonEntity: Name: NameFull: Porter, Richard IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 04 Text: 4/10/2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 984 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
