A bifurcation study of the three-dimensional thermohaline ocean circulation: The double hemispheric case

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ID: 298739
2001
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Abstract
Within a low-resolution primitive-equation model of the three-dimensional ocean circulation, a bifurcation analysis is performed of double-hemispheric basin flows. Main focus is on the connection between results for steady two-dimensional flows in a nonrotating basin and those for threedimensional flows in a rotating basin. With the use of continuation methods, branches of steady states are followed in parameter space and their linear stability is monitored. There is a close qualitative similarity between the bifurcation structure of steady-state solutions of the two- and three dimensional flows. In both cases, symmetry-breaking pitchfork bifurcations are central in generating a multiple equilibria structure. The locations of these pitchfork bifurcations in parameter space can be characterized through a zero of the tendency of a particular energy functional. Although balances controlling the steady-state flows are quantitatively very different, the zonally averaged patterns of the perturbations associated with symmetry-breaking are remarkably similar for two-dimensional and three-dimensional flows, and the energetics of the symmetry-breaking mechanism is in essence the same.
Reference Key
openalex_W2163633613 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Wilbert Weijer, Henk A. Dijkstra
Journal journal of marine research
Year 2001
DOI
10.1357/002224001762842208
URL
https://doi.org/10.1357/002224001762842208
Keywords Keywords not found

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