Wave propagation and growth on a surface front in a two-layer geostrophic current

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ID: 293537
1984
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Abstract
We study analytically and numerically small amplitude perturbations of a geostrophically balanced semi-infinite layer of light water having a surface front and lying above a heavier layer of finite vertical thickness which is at rest in the mean. In contrast with previous studies where the latter layer was infinitely deep we find that the equilibrium is always unstable regardless of the distribution of potential vorticity, and the maximum growth rates are generally much larger than in the one-layer case. The amplifying ageostrophic wave transfers kinetic energy from the basic shear flow as well as potential energy. Good quantitative agreement is found with the laboratory experiments of Griffiths and Linden (1982), and our model seems to be the simplest one for future investigations of cross frontal mixing processes by finite amplitude waves. The propagation speed of very low frequency and nondispersive frontal waves is also computed and is shown to decrease with increasing bottom layer depth.
Reference Key
openalex_W2042237764 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Peter D. Killworth, Nathan Paldor, Melvin E. Stern
Journal journal of marine research
Year 1984
DOI
10.1357/002224084788520701
URL
https://doi.org/10.1357/002224084788520701
Keywords Keywords not found

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