Chaotic motions in a weakly nonlinear model for surface waves

1986 ◽  
Vol 162 (-1) ◽  
pp. 365 ◽  
Author(s):  
Philip Holmes
Keyword(s):  
Surface Waves ◽  
Nonlinear Model ◽  
Chaotic Motions ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Model

A Weakly Nonlinear Model for Kelvin–Helmholtz Instability in Incompressible Fluids

2009 ◽  
Vol 26 (7) ◽  
pp. 074704 ◽  
Author(s):  
Wang Li-Feng ◽  
Ye Wen-Hua ◽  
Fan Zheng-Feng ◽  
Xue Chuang ◽  
Li Ying-Jun
Keyword(s):  
Nonlinear Model ◽  
Incompressible Fluids ◽  
Helmholtz Instability ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Model

Equilibration of baroclinic instability in westward flows

2021 ◽  
Author(s):  
Timour Radko ◽  
James C. McWilliams ◽  
Georgi G. Sutyrin
Keyword(s):  
Numerical Simulations ◽  
Nonlinear Model ◽  
Baroclinic Instability ◽  
Bottom Friction ◽  
Dynamics Model ◽  
Unstable Systems ◽  
Weakly Nonlinear ◽  
Nonlinear Properties ◽  
Linear And Nonlinear ◽  
Weakly Nonlinear Model

AbstractWe explore the dynamics of baroclinic instability in westward flows using an asymptotic weakly nonlinear model. The proposed theory is based on the multilayer quasi-geostrophic framework, which is reduced to a system governed by a single nonlinear prognostic equation for the upper layer. The dynamics of deeper layers are represented by linear diagnostic relations. A major role in the statistical equilibration of baroclinic instability is played by the latent zonally elongated modes. These structures form spontaneously in baroclinically unstable systems and effectively suppress the amplification of primary unstable modes. Special attention is given to the effects of bottom friction, which is shown to control both linear and nonlinear properties of baroclinic instability. The reduced-dynamics model is validated by a series of numerical simulations.

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