Plane incompressible flow under a periodic force and its geophysical application |
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Authors: | A M Batchaev |
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Institution: | 1. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, per. Pyzhevskii 3, Moscow, 119017, Russia
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Abstract: | Plane incompressible flow under an external spatially doubly periodic force is numerically simulated. It is shown that the stationary point of the system loses stability when the Reynolds number crosses the first critical value and a periodic solution appears from the resonant interaction of modes. Self-oscillation parameters in the structural element of the flow are calculated and compared with the results obtained in a laboratory cell. It is assumed that the phenomenon of a quasi-two-year cycle of the atmospheric circulation is connected with the parametric resonance resulting from seasonal variations of the absolute vortex on hemispheres like in a unified hydrodynamic system. |
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