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New equations for nearly geostrophic flow

Published online by Cambridge University Press:  20 April 2006

Rick Salmon
Rick Salmon
Affiliation:
Scripps Institution of Oceanography A025, La Jolla, CA 92093
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Abstract

I have used a novel approach based upon Hamiltonian mechanics to derive new equations for nearly geostrophic motion in a shallow homogeneous fluid. The equations have the same order accuracy as (say) the quasigeostrophic equations, but they allow order-one variations in the depth and Coriolis parameter. My equations exactly conserve proper analogues of the energy and potential vorticity, and they take a simple form in transformed coordinates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 461 - 477
Copyright
© 1985 Cambridge University Press

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References

Fofonoff, N. P. 1954 Steady flow in a frictionless homogeneous ocean. J. Mar. Res. 13, 254–262.Google Scholar
Greene, J. M. 1982 Noncanonical Hamilton mechanics. Am. Inst. Phys. Proc. 88, 91–97.Google Scholar
Hoskins, B. J. 1975 The geostrophic momentum approximation and the semi-geostrophic equations. J. Atmos. Sci. 32, 233–242.Google Scholar
Lorenz, E. N. 1960 Energy and numerical weather prediction. Tellus 12, 364–373.Google Scholar
Parsons, A. T. 1969 A two-layer model of Gulf Stream separation. J. Fluid Mech. 39, 511–528.Google Scholar
Pedlosky, J. 1979 Geophysical Fluid Dynamics. Springer.
Phillips, N. A. 1963 Geostrophic motion. Rev. Geophys. 1, 123–176.Google Scholar
Salmon, R. 1983 Practical use of Hamilton's principle. J. Fluid Mech. 132, 431–444.Google Scholar