Nonlinear three-dimensional interfacial flows with a free surface

E. I. Parau; J.-M. Vanden-Broeck; M. J. Cooker

doi:10.1017/S0022112007008452

Nonlinear three-dimensional interfacial flows with a free surface

E. I. Parau, J.-M. Vanden-Broeck, M. J. Cooker

Fluids & Structures

Research output: Contribution to journal › Article

20 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	481-494
Number of pages	14
Journal	Journal of Fluid Mechanics
Volume	591
DOIs	https://doi.org/10.1017/S0022112007008452
Publication status	Published - 2007

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10.1017/S0022112007008452

Cite this

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title = "Nonlinear three-dimensional interfacial flows with a free surface",

abstract = "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.",

author = "Parau, {E. I.} and J.-M. Vanden-Broeck and Cooker, {M. J.}",

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AU - Parau, E. I.

AU - Vanden-Broeck, J.-M.

AU - Cooker, M. J.

PY - 2007

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N2 - 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.

AB - 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.

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DO - 10.1017/S0022112007008452

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JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

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