Journal article
Viscous motion in an oceanic circulation model
Bulletin of the Australian Mathematical Society, Vol.23(3), pp.443-460
1981
Abstract
The barotropic motion of a viscous fluid in a laboratory simulation of ocean circulation may be modelled by Beards ley's vorticity equations. It is established here that these equations have unique smooth solutions which depend continuously on initial conditions. To avoid a boundary condition which involves an integral operator, the vorticity equations are replaced by an equivalent system of momentum equations. The system resembles the two-dimensional incompressible Navier-Stokes equations in a rotating reference frame. The existence of unique generalized solutions of the system in a square domain is established by modifying arguments used by Ladyzhenskaya for the Navier-Stokes equations. Smoothness of the solutions is then established by modifying Golovkin's arguments, again originally for the Navier- Stokes equations. A numerical procedure for solving the vorticity equations is discussed, as are the effects of reentrant corners in the domain modelling islands and peninsulae.
Details
- Title
- Viscous motion in an oceanic circulation model
- Authors/Creators
- A.F. Bennett (Author/Creator)P.E. Kloeden (Author/Creator)
- Publication Details
- Bulletin of the Australian Mathematical Society, Vol.23(3), pp.443-460
- Publisher
- Cambridge University Press
- Identifiers
- 991005544394407891
- Copyright
- © 1981 Australian Mathematical Society
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 8 Earth Sciences
- 8.19 Oceanography, Meteorology & Atmospheric Sciences
- 8.19.153 Ocean Circulation
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics