Three-dimensional steady nonlinear flexural-gravity waves over bottom topography

Ţugulan, C. C., Trichtchenko, O. and Parau, E. I. ORCID: https://orcid.org/0000-0001-5134-2068 (2026) Three-dimensional steady nonlinear flexural-gravity waves over bottom topography. Physics of Fluids. ISSN 1070-6631 (In Press)

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Abstract

In this work, three-dimensional steady nonlinear flexural–gravity waves propagating over localised bottom topography such as bumps and craters are investigated. By re-formulating the problem using a desingularised boundary integral method, we obtain a nonlinear system in surface variables that is solved numerically using a Newton–Krylov approach. The dense Jacobian associated with the nonlocal formulation is treated efficiently through hybrid preconditioning. Solutions for bumps and craters are presented across three regimes, illustrating distinct three-dimensional flexural–gravity wave patterns.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Fluids & Structures
Depositing User:	LivePure Connector
Date Deposited:	24 Sep 2026 10:28
Last Modified:	24 Sep 2026 10:28
URI:	https://ueaeprints.uea.ac.uk/id/eprint/104627
DOI:	issn:1070-6631

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