CaltechAUTHORS
  A Caltech Library Service

Finite-amplitude solitary waves at the interface between two homogeneous fluids

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

[img]
Preview
PDF
See Usage Policy.

1134Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:PULpof88

Abstract

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.


Item Type:Article
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
Record Number:CaltechAUTHORS:PULpof88
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PULpof88
Alternative URL:http://dx.doi.org/10.1063/1.866922
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4671
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Sep 2006
Last Modified:26 Dec 2012 09:00

Repository Staff Only: item control page