On the Instabilities and Transitions of the Western Boundary Current

On the Instabilities and Transitions of the Western Boundary Current

Year:    2019

Communications in Computational Physics, Vol. 26 (2019), Iss. 1 : pp. 35–56

Abstract

We study the stability and dynamic transitions of the western boundary currents in a rectangular closed basin. By reducing the infinite dynamical system to a finite dimensional one via center manifold reduction, we derive a non-dimensional transition number that determines the types of dynamical transition. We show by careful numerical evaluation of the transition number that both continuous transitions (supercritical Hopf bifurcation) and catastrophic transitions (subcritical Hopf bifurcation) can happen at the critical Reynolds number, depending on the aspect ratio and stratification. The regions separating the continuous and catastrophic transitions are delineated on the parameter plane.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2018-0066

Communications in Computational Physics, Vol. 26 (2019), Iss. 1 : pp. 35–56

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Western boundary current dynamic transition instability Hopf bifurcation spectral method.

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