Nonlinear three-dimensional interfacial flows with a free surface

Parau, E. I. ORCID:, Vanden-Broeck, J.-M. and Cooker, M. J. (2007) Nonlinear three-dimensional interfacial flows with a free surface. Journal of Fluid Mechanics, 591. pp. 481-494. ISSN 0022-1120

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A configuration consisting of two superposed fluids bounded above by a free surface is considered. Steady three-dimensional potential solutions generated by a moving pressure distribution are computed. The pressure can be applied either on the interface or on the free surface. Solutions of the fully nonlinear equations are calculated by boundary-integral equation methods. The results generalize previous linear and weakly nonlinear results. Fully localized gravity–capillary interfacial solitary waves are also computed, when the free surface is replaced by a rigid lid.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Vishal Gautam
Date Deposited: 10 Mar 2011 12:50
Last Modified: 02 Feb 2023 10:30
DOI: 10.1017/S0022112007008452

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