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. |
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| 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] |
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| Database: | Engineering Source |
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