Abstract
It is known that over a flat bottom, Taylor’s vortex is dynamically stable. The requirement of stability in the presence of a modulated topography with definite symmetry properties allows to modify the stream function of the vortex. The resulting solutions exhibit the same symmetry properties as the topography, and admit a variety of coupled vortices parametrized by the strength of the topography itself.
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References
F. Crisciani, R. Mosetti, R. Purini, Eur. Phys. J. Plus 128, 18 (2013).
Andrew Majda, Xiaoming Wang, Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows (Cambridge University Press, 2006) pp. 551.
F. Cavallini, F. Crisciani, Quasi-Geostrophic Theory of Oceans and Atmosphere (Springer, 2012) pp. 385.
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Cavallini, F., Crisciani, F., Mosetti, R. et al. Stable and symmetric quasi-geostrophic barotropic flows over topography. Eur. Phys. J. Plus 129, 199 (2014). https://doi.org/10.1140/epjp/i2014-14199-6
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DOI: https://doi.org/10.1140/epjp/i2014-14199-6