Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems

Părău, E. ORCID: https://orcid.org/0000-0001-5134-2068, Vanden-Broeck, J.-M. and Cooker, M. J. (2005) Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems. Physics of Fluids, 17 (12).

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Abstract

Numerical solutions for three-dimensional gravity capillary waves in water of finite depth are presented. The full Euler equations are used and the waves are calculated by a boundary integral equation method. The findings generalize previous results of Părău, Vanden-Broeck, and Cooker [J. Fluid Mech. 536, 99 (2005)] in water of infinite depth. It is found that there are both lumps that bifurcate from linear sinusoidal waves and other fully localized solitary waves which exist for large values of the Bond number. These findings are consistent with rigorous analytical results and asymptotic calculations. The relation between the solitary waves and free surface flows generated by moving disturbances is also explored.

Item Type:	Article
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
Depositing User:	Vishal Gautam
Date Deposited:	10 Mar 2011 12:50
Last Modified:	07 Nov 2024 12:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20740
DOI:	10.1063/1.2140020

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