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Interaction of wave with a body submerged below an ice sheet with multiple arbitrarily spaced cracks

Li, ZF; Wu, GX; Ji, CY; (2018) Interaction of wave with a body submerged below an ice sheet with multiple arbitrarily spaced cracks. Physics of Fluids , 30 (5) , Article 057107. 10.1063/1.5030378. Green open access

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Abstract

The problem of wave interaction with a body submerged below an ice sheet with multiple arbitrarily spaced cracks is considered, based on the linearized velocity potential theory together with the boundary element method. The ice sheet is modeled as a thin elastic plate with uniform properties, and zero bending moment and shear force conditions are enforced at the cracks. The Green function satisfying all the boundary conditions including those at cracks, apart from that on the body surface, is derived and is expressed in an explicit integral form. The boundary integral equation for the velocity potential is constructed with an unknown source distribution over the body surface only. The wave/crack interaction problem without the body is first solved directly without the need for source. The convergence and comparison studies are undertaken to show the accuracy and reliability of the solution procedure. Detailed numerical results through the hydrodynamic coefficients and wave exciting forces are provided for a body submerged below double cracks and an array of cracks. Some unique features are observed, and their mechanisms are analyzed.

Type: Article
Title: Interaction of wave with a body submerged below an ice sheet with multiple arbitrarily spaced cracks
Open access status: An open access version is available from UCL Discovery
DOI: 10.1063/1.5030378
Publisher version: http://dx.doi.org/10.1063/1.5030378
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Potential theory, Cryosphere, Boundary element methods, Wave propagation, Deformation, Hydrodynamics
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10050004
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