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Nonlinear three-dimensional interfacial flows with a free surface

2007; Cambridge University Press; Volume: 591; Linguagem: Inglês

10.1017/s0022112007008452

1469-7645

Emilian I. Părău, Jean‐Marc Vanden‐Broeck, Mark J. Cooker,

Fluid Dynamics and Thin Films

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.