Energetics of linear geostrophic adjustment in stratified rotating fluids

Authors: Grimshaw R.H.J.; Willmott A.J.; Killworth P.D.

Source: Journal of Marine Research, Volume 56, Number 6, 1 November 1998 , pp. 1203-1224(22)

Publisher: Sears Foundation for Marine Research

Abstract:

The energy conversion ratio, , is shown to be bounded below by 0 and above by 1/2 in the two-dimensional linear geostrophic adjustment of a continuously stably stratified, incompressible, inviscid non-Boussinesq fluid. ''Two-dimensional'' refers to problems in which the initial isopycnal displacement field is an arbitrary function of the vertical (parallel to the rotation axis) and a single horizontal coordinate. By using Fourier analysis techniques, the paper also identified classes of initial isopycnal displacement profiles for which the adjustment process leads to > 1/3. Finally, an expression for is derived when the initial isopycnal displacement profile is three dimensional.

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Document Type: Research article

DOI: http://dx.doi.org/10.1357/002224098765093616

Publication date: 1998-11-01

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