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3 edition of Nonlinear interactions between unstable and neutral baroclinic waves found in the catalog.

Nonlinear interactions between unstable and neutral baroclinic waves

Arthur Zlobnicki Loesch

Nonlinear interactions between unstable and neutral baroclinic waves

by Arthur Zlobnicki Loesch

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  • 27 Currently reading

Published .
Written in English


Edition Notes

Statementby Arthur Zlobnicki Loesch.
Classifications
LC ClassificationsMicrofilm 50776 (Q)
The Physical Object
FormatMicroform
Paginationviii, 106 leaves.
Number of Pages106
ID Numbers
Open LibraryOL1826152M
LC Control Number89893108

The effects of spherical geometry on the nonlinear evolution of baroclinic waves are investigated by comparing integrations of a two-layer primitive equation (PE) model in spherical and Cartesian geometry. The integrations use basic states with nearly identical potential vorticity (PV) structure. gested such a neutral state that is based on the short-wave cutoff of the Eady model. This cutoff is a direct result of the zero PV gradients in the interior of the model atmosphere. The zero PV gradient region does not allow internal Rossby wave propagation and, hence, limits the interaction between the two edge waves, one.

Third, there can be interference between two instabilities. The most unstable baroclinic eigenmode has optimal structure for a flow having vertical shear alone but when shear of horizontal is added to that flow a different structure is needed otherwise eddy will be sheared apart. A weakly nonlinear fluid wave propagating within a star can be unstable to three-wave interactions. The resonant parametric instability is a well-known form of three-wave interaction in which a primary wave of frequency ω {sub a} excites a pair of secondary waves of frequency ω {sub b} + .

vertical motion within the waves – maintaining the kinetic energy of the atmosphere against frict ional dissipation. The waves intensify until the heat transferred poleward balances the radiation deficit. Various process within the atmosphere (friction, radiation to space, etc.) damp the unstable waves and the baroclinic cycle is repeated. It follows that p also satisfies the wave equation. The nonlinear equations of gas dynamics will be discussed in Chapter 4. We have assumed that the waves are even in x ct. To find the most general form of the wave we also have to include terms of the form sin(k(x ct)). In order to make the notation.


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Nonlinear interactions between unstable and neutral baroclinic waves by Arthur Zlobnicki Loesch Download PDF EPUB FB2

Terrence R. Nathan, Arthur Z. Loesch, Resonant interactions between unstable and neutral baroclinic waves in a continuous model of the atmosphere, Tellus A: Dynamic Meteorology and Oceanography, /tellusa.v36i, 36, 4, (), ().Cited by: The maximally truncated SQG model was used to describe the dynamics of flow disturbances.

A dynamic system describing nonlinear interactions between unstable counter‐propagating Rossby waves with one zonal wavenumber and a neutral mode independent of zonal coordinate has been formulated within the framework of this : M.V. Kalashnik, O.G. Chkhetiani. RESONANT INTERACTIONS BETWEEN BAROCLINIC WAVES 32 I spectrum to be made up of a triad consisting two neutral baroclinic waves, and a wave which, according to linear theory, is marginally unstable.

He found that the neutral waves extract energy indirectly from the mean flow via resonant inter- action with the unstable wave. The baroclinic lee-wave theory views the initial rapid phase of lee cyclogenesis as the formation of a standing baroclinic lee wave in an initial-value problem.

An example for a two-dimensional configuration (with the x-axes pointing perpendicular to an infinite ridge) is shown in Figure 7. Starting from some initial conditions (here from the.

On the chaotic evolution of baroclinic instability of wave-wave interactions with topography Article (PDF Available) in Journal of Marine Research 57(1) January with 17 ReadsAuthor: John Kroll. Nonlinear resonant interactions of interfacial waves in horizontal stratified channel flows - Volume - Bryce K.

Campbell, Yuming Liu. Resonant interactions between a finite-amplitude marginally unstable and two neutral baroclinic waves are investigated in a quasi-geostrophic two-layer model on the beta plane. If the persistent wave 5 could be satisfactorily interpreted as a neutral Rossby wave, an equivalent barotropic vertical structure would be expected and an external energy source would be needed to maintain it against dissipation (Hoskins and Karoly ; Held et al.

) while, if it were an unstable baroclinic wave, a westward tilt with. Govind P. Agrawal, in Nonlinear Fiber Optics (Sixth Edition), Inverse scattering method. Only certain nonlinear wave equations can be solved with the inverse scattering method [39].The NLS equation () belongs to this special class of equations.

Zakharov and Shabat used the inverse scattering method in to solve the NLS equation [46]. Publications Subjects. A recent analysis of quasi-biennial (QB) Rossby waves propagating within the eastward shear flow of the South Indian Countercurrent (SICC) in the subtropical South Indian Ocean prompted the present theoretical study.

The observational analysis indicated that the SICC vertical structure strongly affects the QB phase speeds. Here, I develop a simplified analytical approach to characterize such. In this paper, we first apply the assumption h = εh′ of topographic variation (h is the nondimensional topographic height and is a small parameter) to obtain nonlinear equations describing three-wave quasi-resonant and non-resonant interactions among Rossby waves for zonal wavenumbers 1—3 over a wavenumber-two bottom topography (WTBT).

Some numerical calculations are made with the fourt. It is shown that non-linear interactions between a resonant triplet of neutral waves can lead to baroclinic instability. It is also demonstrated that resonant interactions between a slightly supercritical unstable linear mode and two neutral waves can destabilise the weakly finite amplitude equilibration of the unstable mode that would occur in.

Eady baroclinic instability may be considered as the interaction between two counterpropagating free Rossby waves that propagate on the potential vorticity gradients that exist only at the lower boundary and the tropopause (Davies and Bishop ; Heifetz et al.hereafter H04). When stratospheric shear is increased, the phase speed of the.

Observational evidence is presented for pervasive nonlinear interaction between inertial and M 2 frequency oscillations in the northeast Pacific. Enhanced currents at the sum frequency (termed the “f M 2 frequency”) have the rotary spectral properties of freely propagating waves suggesting permanent energy exchange from the inertial and semidiurnal bands to the f M 2 band.

These fronts select slow baroclinic waves through nonlinear adjustment of the horizontal scale to the vertical scale by weak rotation, and are the envelope of inertio-gravity waves. Mathematically, this is generated by asymptotic hyperbolic systems describing the strong nonlinear interactions between waves and potential vorticity dynamics.

Abstract. Baroclinic and barotropic instabilities are well known as the mechanisms responsible for the production of the dominant energy-containing eddies in the atmospheres of Earth and several other planets, as well as Earth's oceans.

Here we consider insights provided by both linear and nonlinear instability theories into the conditions under which such instabilities may occur, with.

We construct a two-variable model which describes the interaction between local baroclinicity and eddy heat flux in order to understand aspects of the variance in storm tracks. It is a heuristic model for diabatically forced baroclinic instability close to baroclinic neutrality.

The two-variable model has the structure of a nonlinear oscillator. Nonlinear interaction between near‐inertial waves (NIWs) and diurnal tides (DTs) after nine typhoons near the Xisha Islands of the northwestern South China Sea (SCS) were investigated using three‐year in situ mooring observation data.

It was found that a harmonic wave (f + D 1, hereafter referred to as fD 1 wave), with a frequency equal to the sum of frequencies of NIWs and DTs (hereafter. The interaction of barotropic tidal currents and baroclinic geostrophic eddies is considered theoretically and numerically to determine whether energy can be transferred to an internal wave field by this process.

Interactions between convectively coupled tropical waves and Walker-type mean circulations are examined using a two-dimensional analytic model wherein drying and cooling of the boundary layer by convective and mesoscale downdrafts are in equilibrium with the wind-induced perturbations of surface fluxes.

The moist thermodynamic state directly affects the stability of the large-scale circulation.model of wave–mean-flow interaction. Periodic states in this model were found to be stable, although weakly growing Floquet modes exist for slightly aperiodic limit cycles; these growing modes correspond to the unstable growth of the basic-state wave.

This work was extended to a strongly nonlinear, aperiodic system, with similar.unstable in a hydrodynamic sense. The instability is of a baroclinic character with barotropic stabilizing effects.

The nonlinear computa­ tions show that the growth of the most unstable waves is brought to a halt when the perturbation kinetic energy reaches a level consistent with atmospheric observation.