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New equations for nearly geostrophic flow

  • Rick Salmon (a1)


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.



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Pedlosky, J. 1979 Geophysical Fluid Dynamics. Springer.
Phillips, N. A. 1963 Geostrophic motion. Rev. Geophys. 1, 123176.
Salmon, R. 1983 Practical use of Hamilton's principle. J. Fluid Mech. 132, 431444.
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New equations for nearly geostrophic flow

  • Rick Salmon (a1)


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