Three-dimensional waves under ice computed with novel preconditioning methods

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Ţugulan, Claudia, Trichtchenko, Olga and Părău, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 (2022) Three-dimensional waves under ice computed with novel preconditioning methods. Journal of Computational Physics, 459. ISSN 0021-9991

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Abstract

In this work, we present three-dimensional, nonlinear traveling wave solutions for water waves under a sheet of ice, i.e., flexural-gravity waves. The ice is modeled as a thin elastic plate on top of water of infinite depth and the equations are formulated as a boundary integral method. Depending on the velocity of the moving disturbance generating the flow, different deflection patterns of the floating ice sheet are observed. In order to compute solutions as efficiently as possible, we introduce a novel hybrid preconditioning technique used in an iterative Newton-Krylov solver. This technique is able to significantly increase the grid refinement and decrease the computational time of our solutions in comparison to methods that are presently used in the literature. We show how this approach is generalizable to three-dimensional ice wave patterns in different velocity regimes.

Item Type: Article
Additional Information: Funding: The authors acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), [funding reference number RGPIN-2020-06417].
Uncontrolled Keywords: flexural-gravity waves,preconditioner,three-dimensional waves,numerical analysis,modelling and simulation,physics and astronomy (miscellaneous),physics and astronomy(all),computer science applications,computational mathematics,applied mathematics ,/dk/atira/pure/subjectarea/asjc/2600/2612
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Faculty of Science > Research Groups > Fluids & Structures
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Depositing User: LivePure Connector
Date Deposited: 09 Mar 2022 10:30
Last Modified: 07 Nov 2024 12:44
URI: https://ueaeprints.uea.ac.uk/id/eprint/83952
DOI: 10.1016/j.jcp.2022.111129

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