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A Nonlinear Baroclinic Wave-Mean Oscillation with Multiple Normal Mode Instabilities

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https://ir.library.oregonstate.edu/concern/articles/9s161b932

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Abstract
  • An unstable, nonlinear baroclinic wave-mean oscillation is found in a strongly supercritical quasigeostrophic f-plane numerical channel model with 3840 Fourier components. The growth of linear disturbances to this time-periodic oscillation is analyzed by computing time-dependent normal modes (Floquet vectors). Two different Newton–Picard methods are used to compute the unstable solution, the first based on direct computation of a large set of Floquet vectors, and the second based on an efficient iterative solver. Three different growing normal modes are found, which modify the wave structure of the wave-mean oscillation in two essentially different ways. The dynamics of the instabilities are qualitatively similar to the baroclinic dynamics of the wave-mean oscillation. The results provide an example of time-dependent normal mode instability of a strongly nonlinear time-dependent baroclinic flow.
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  • Samelson, R. M., C. L. Wolfe, 2003: A Nonlinear Baroclinic Wave-Mean Oscillation with Multiple Normal Mode Instabilities. Journal of the Atmospheric Sciences, 60(9), 1186–1199.
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  • 60
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  • 9
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  • This research was supported by the Office of Naval Research, Grant N00014-98-1-0813, Code 322 OM.
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