Barotropic, wind-driven circulation in a small basin

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ID: 300856
1997
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Abstract
We study the asymptotic behavior (large time) of a simple, wind-driven, barotropic ocean model, described by a nonlinear partial differential equation with two spatial dimensions. Considered as a dynamical system, this model has an infinite-dimensional phase space. After discretization, the equivalent numerical model has a phase space of finite but large dimension. We find that for a considerable range of friction, the asymptotic states are low-dimensional attractors. We describe the changes in the structure of these asymptotic attractors as a function of the eddy viscosity of the model. A variety of different types of attractor are seen, with chaotic attractors predominating at higher Reynolds numbers. As the Reynolds number is increased, we observe a slow increase in the dimension of the chaotic attractors. Using an energy analysis, we examine the nature of the instability responsible for the Hopf bifurcation that initiates the transition from asymptotically steady states to time-dependent states.
Reference Key
openalex_W1992136943 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors S. P. Meacham, Pavel Berloff
Journal journal of marine research
Year 1997
DOI
10.1357/0022240973224364
URL
https://doi.org/10.1357/0022240973224364
Keywords Keywords not found

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