Symmetry properties of barotropic bottom-dissipated single-gyre systems in the inertial regime

Fulvio Crisciani, Tamay M. Özgökmen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Symmetry properties of steady solutions of the barotropic quasigeostrophic vorticity equation are explored using mirror reflections with respect to mid-basin longitude and latitude. The analysis is conducted by perturbing the fully inertial solution, the zeroth-order solution or the Fofonoff mode, by introducing forcing and dissipation as a first order correction. In the context of a classical square-basin and single-gyre circulation subject to bottom friction, it is shown numerically and analytically that the full solution can be approximated by the superposition of three components each having definite symmetry properties under longitude and latitude reflections: the north-south symmetric and antisymmetric components of the zeroth-order solution and the east-west antisymmetric component of the first-order correction. The flow patterns of the individual components are discussed.

Original languageEnglish (US)
Pages (from-to)135-156
Number of pages22
JournalDynamics of Atmospheres and Oceans
Issue number2
StatePublished - 2001


  • Barotropic
  • Inertial regime
  • Symmetry
  • Vorticiy equation

ASJC Scopus subject areas

  • Oceanography
  • Geology
  • Computers in Earth Sciences
  • Atmospheric Science


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