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Stability of a barotropic jet on a sloping bottom
Authors:Keigh I Ohshima
Institution:(1) Department of Geophysics, Faculty of Science, Hokkaido University, 060 Sapporo, Japan;(2) Present address: Institute of Low Temperature Science, Hokkaido University, 060 Sapporo, Japan
Abstract:Linear stability of a barotropic jet on a sloping bottom with and without a side boundary is examined. When a sloping bottom and a side boundary are absent, a symmetric jet generally has two unstable modes: a symmetric mode and an antisymmetric mode. In the presence of a sloping bottom or a side boundary, they are modified and lose their symmetry.The presence of a side boundary does not produce substantial change in the stability characteristics, except that it stabilizes the flow to some degree. In the presence of a sloping bottom, the following features are noted; 1) when the direction of the jet is opposite to the propagation direction of topographic Rossby waves, the change of a preferred mode occurs at a certain slope, 2) when the direction of the jet is opposite to 1), with a side boundary, the dispersion relations change from unstable mode type to shelf wave type at a certain slope, accompanied by lsquokissingrsquo.
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