Pullin, D. I. and Grimshaw, R. H. J. (1988) Finite-amplitude solitary waves at the interface between two homogeneous fluids. Physics of Fluids, 31 (12). pp. 3550-3559. ISSN 0031-9171 http://resolver.caltech.edu/CaltechAUTHORS:PULpof88
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Numerical solutions are presented for finite-amplitude interfacial waves. Only symmetric waves are calculated. Two cases are considered. In the first case the waves are free-surface solitary waves propagating on a basic flow with uniform vorticity. Large-amplitude waves of extreme form are calculated for a range of values of the basic vorticity. In the second case the waves are propagating on the interface between two homogeneous fluids of different densities, which are otherwise at rest. Again large-amplitude waves of extreme form are calculated for a range of values of the basic density ratio. In particular, in the Boussinesq limit when the density ratio is nearly unity, solitary waves of apparently unlimited amplitude can be found.
|Additional Information:||Copyright © 1988 American Institute of Physics (Received 30 November 1987; accepted 9 August 1988) The contribution of D. I. Pullin to this work was supported by the Australian Research Grants Scheme under Drant No. A48315031.|
|Subject Keywords:||SOLITONS; HYDRODYNAMICS; NUMERICAL SOLUTION; WAVE PROPAGATION; VORTICES; VORTEX FLOW; FLUID–FLUID INTERFACES; DENSITY; BOUSSINESQ EQUATIONS|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||02 Sep 2006|
|Last Modified:||26 Dec 2012 09:00|
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