Articles | Volume 24, issue 1
https://doi.org/10.5194/npg-24-1-2017
https://doi.org/10.5194/npg-24-1-2017
Research article
 | 
12 Jan 2017
Research article |  | 12 Jan 2017

Parametric resonance in the dynamics of an elliptic vortex in a periodically strained environment

Konstantin V. Koshel and Eugene A. Ryzhov

Related authors

The life cycle of submesoscale eddies generated by topographic interactions
Mathieu Morvan, Pierre L'Hégaret, Xavier Carton, Jonathan Gula, Clément Vic, Charly de Marez, Mikhail Sokolovskiy, and Konstantin Koshel
Ocean Sci., 15, 1531–1543, https://doi.org/10.5194/os-15-1531-2019,https://doi.org/10.5194/os-15-1531-2019, 2019
Short summary
Diffusion-affected passive scalar transport in an ellipsoidal vortex in a shear flow
K. V. Koshel, E. A. Ryzhov, and V. V. Zhmur
Nonlin. Processes Geophys., 20, 437–444, https://doi.org/10.5194/npg-20-437-2013,https://doi.org/10.5194/npg-20-437-2013, 2013
Interaction of a monopole vortex with an isolated topographic feature in a three-layer geophysical flow
E. A. Ryzhov and K. V. Koshel
Nonlin. Processes Geophys., 20, 107–119, https://doi.org/10.5194/npg-20-107-2013,https://doi.org/10.5194/npg-20-107-2013, 2013

Related subject area

Subject: Nonlinear Waves, Pattern Formation, Turbulence | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere
Particle clustering and subclustering as a proxy for mixing in geophysical flows
Rishiraj Chakraborty, Aaron Coutino, and Marek Stastna
Nonlin. Processes Geophys., 26, 307–324, https://doi.org/10.5194/npg-26-307-2019,https://doi.org/10.5194/npg-26-307-2019, 2019
Short summary
Explosive instability due to flow over a rippled bottom
Anirban Guha and Raunak Raj
Nonlin. Processes Geophys., 26, 283–290, https://doi.org/10.5194/npg-26-283-2019,https://doi.org/10.5194/npg-26-283-2019, 2019
Short summary
Internal waves in marginally stable abyssal stratified flows
Nikolay Makarenko, Janna Maltseva, Eugene Morozov, Roman Tarakanov, and Kseniya Ivanova
Nonlin. Processes Geophys., 25, 659–669, https://doi.org/10.5194/npg-25-659-2018,https://doi.org/10.5194/npg-25-659-2018, 2018
Short summary
On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation
Dmitry Kachulin and Andrey Gelash
Nonlin. Processes Geophys., 25, 553–563, https://doi.org/10.5194/npg-25-553-2018,https://doi.org/10.5194/npg-25-553-2018, 2018
Short summary
Laboratory and numerical experiments on stem waves due to monochromatic waves along a vertical wall
Sung Bum Yoon, Jong-In Lee, Young-Take Kim, and Choong Hun Shin
Nonlin. Processes Geophys., 25, 521–535, https://doi.org/10.5194/npg-25-521-2018,https://doi.org/10.5194/npg-25-521-2018, 2018
Short summary

Cited articles

Balasuriya, S. and Jones, C. K. R. T.: Diffusive draining and growth of eddies, Nonlin. Processes Geophys., 8, 241–251, https://doi.org/10.5194/npg-8-241-2001, 2001.
Bayly, B. J., Holm, D. D., and Lifschitz, A.: Three-dimensional stability of elliptical vortex columns in external strain flows, Philos. T. Roy. Soc. A, 354, 895–926, https://doi.org/10.1098/rsta.1996.0036, 1996.
Bertozzi, A. L.: Heteroclinic orbits and chaotic dynamics in planar fluid flows, SIAM J. Math. Anal., 19, 1271–1294, https://doi.org/10.1137/0519093, 1988.
Carton, X. and Legras, B.: The life-cycle of tripoles in 2-dimensional incompressible flows, J. Fluid Mech., 267, 53–82, https://doi.org/10.1017/S0022112094001114, 1994.
Carton, X., Meunier, T., Flierl, G. R., Perrot, X., and Sokolovskiy, M.: Explosive instability of geostrophic vortices, Part 2: parametric instability, Theor. Comput. Fluid Dyn., 24, 131–135, https://doi.org/10.1007/s00162-009-0139-0, 2010.
Download
Short summary
The paper deals with the dynamics of an isolated vortex that evolves in a time-dependent strain environment. We establish parameters leading to parametric instability of stationary steady-state configuration using a combination of analytical and numerical techniques. Our findings may contribute to a deeper understanding of the coherent vortex dynamics in the ocean.