Journal article
An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves
European Journal of Applied Mathematics, Vol.17(05), pp.557-575
2006
Abstract
Waves on a neutrally buoyant intrusion layer moving into otherwise stationary fluid are studied. There are two interfacial free surfaces, above and below the moving layer, and a train of waves is present. A small amplitude linearized theory shows that there are two different flow types, in which the two interfaces are either in phase or else move oppositely. The former flow type occurs at high phase speed and the latter is a low-speed solution. Nonlinear solutions are computed for large amplitude waves, using a spectral type numerical method. They extend the results of the linearized analysis, and reveal the presence of limiting flow types in some circumstances.
Details
- Title
- An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves
- Authors/Creators
- L.K. Forbes (Author/Creator)G.C. Hocking (Author/Creator)D.E. Farrow (Author/Creator)
- Publication Details
- European Journal of Applied Mathematics, Vol.17(05), pp.557-575
- Publisher
- Cambridge University Press
- Identifiers
- 991005540506107891
- Copyright
- © 2006 Cambridge University Press
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Mathematics, Applied
- ESI research areas
- Mathematics