Symmetry properties of barotropic bottom-dissipated single-gyre systems in the inertial regime |
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| Institution: | 1. CNR, Instituto Talassografico di Trieste, Trieste, Italy;2. Department of Meteorology and Physical Oceanography, Rosenstiel School of Marine and Atmospheric Science, University of Miami, 4600 Rickenbacker Causeway, Miami, FL 33149-1098, USA;1. Department of Oceanography, School of Ocean and Earth Science and Technology, 1000 Pope Road, University of Hawaii, Honolulu, HI 96822, U.S.A. |
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| Abstract: | 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. |
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