Dynamics of changeover phenomena in simplest hydrodynamic models
Abstract
The paper discusses changeover phenomena  the existence of different regimes of motion for hydrodynamic objects under the same external conditions and the transitions between these regimes. Nonlinear processes in hydrodynamics are modeled by a simple dynamical model with finite number of degrees of freedom. A multistage model describing the interaction of different scales is discussed. Each stage consists of triplets of identical scale, the number of triplets doubling upon transition to the next stage while the scales decrease in a geometric progression. The first stage consists of one triplet, the unstable mode of which is excited by the external force, and the two stable modes of which are unstable for the two triplets of the second stage, and so on. Equations of motion for one and twostage models are drawn up and analyzed. Numerical analysis is used to estimate the changeover time in a twostage model. It is shown that in a twostage model, the smallscale components, whatever their initial amplitudes may be, have a significant effect on the pattern of motion of the largescale components.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 November 1977
 Bibcode:
 1977DoSSR.237..544G
 Keywords:

 Dynamic Models;
 Geophysics;
 Hydrodynamics;
 Atmospheric Circulation;
 Climatology;
 Equations Of Motion;
 Modal Response;
 Ocean Models;
 Geophysics