1989
DOI: 10.1175/1520-0469(1989)046<1285:naosi>2.0.co;2
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Nonlinear Aspects of Symmetric Instability

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Cited by 64 publications
(53 citation statements)
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“…Figure 1 illustrates a thought experiment, describing a hypothetical series of events, which would allow M adjustment and CSI to occur consecutively. This hypothetical life-cycle is described graphically using a series of sketches, most of which are inspired by the numerical simulations of Holt and Thorpe (1991), Fischer and Lalaurette (1995a,b) and Thorpe and Rotunno (1989). Striving for clarity, these sketches try to capture the important features of their numerical simulations by subjectively smoothing their results and by removing some of the confusing noise.…”
Section: A Hypothesis Linking Line Convection M Adjustment and Csimentioning
confidence: 99%
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“…Figure 1 illustrates a thought experiment, describing a hypothetical series of events, which would allow M adjustment and CSI to occur consecutively. This hypothetical life-cycle is described graphically using a series of sketches, most of which are inspired by the numerical simulations of Holt and Thorpe (1991), Fischer and Lalaurette (1995a,b) and Thorpe and Rotunno (1989). Striving for clarity, these sketches try to capture the important features of their numerical simulations by subjectively smoothing their results and by removing some of the confusing noise.…”
Section: A Hypothesis Linking Line Convection M Adjustment and Csimentioning
confidence: 99%
“…When viscosity is taken into account, the updraughts are still narrow, but they now have a finite width. Consequently regions of negative EPV can actually be stable to viscous CSI depending on their geometry (Thorpe and Rotunno 1989). Assuming that the whole of the negative-EPV region created by the M adjustment is saturated, and that, as the region grows, the geometry is now such that it is unstable to viscous CSI, then only a triggering mechanism is needed for the CSI to be released.…”
Section: (A) Initial Conditions and Line Convectionmentioning
confidence: 99%
“…ear regime. Thorpe and Rotunno (1989) put forward the hypothesis that nonlinear equilibration is characterised by a sort of inverse cascading of energy and the progressive emergence of larger scale circulations. Time-integration with the spectral model makes it possible to follow directly the timeevolution of the energy associated to each x-harmonic: evidence is that there is no inverse cascading of energy from smaller to higher scales.…”
Section: Nonlinear Systemmentioning
confidence: 49%
“…This behaviour seems to be in contrast with the previously proposed idea (see Miller, 1984) that the dominance of one kind of circulation on the other may be determined by Prandtl number being different from one. In fact, in the present case (as, for example, in Rotunno, 1989 andJones andThorpe, 1992, where the momentum diffusion coefficient is equal to the heat diffusion coefficient) the predominant selection of the anticlockwise circulations is evident. We did not test the structural stability of this result since it was outside the scope of our work.…”
Section: Nonlinear Systemmentioning
confidence: 95%
“…Numerical simulations of the finite-amplitude evolution of SI in idealized environment were performed among others by Thorpe and Rotunno (1989) and Persson and Warner (1995).…”
Section: Introductionmentioning
confidence: 99%