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Chin. Phys. B, 2014, Vol. 23(6): 064703    DOI: 10.1088/1674-1056/23/6/064703

The interaction between zonal flow and Rossby waves with scalar nonlinearity

Zhang Xi-Ping, Zhao Qiang
School of Physics, Peking University, Beijing 100871, China
Abstract  The nonlinear interactions between zonal flow and Rossby waves are studied by numerical simulations with focus on the effects of scalar nonlinearity. The numerical results show that the scalar nonlinearity has an appreciable influence on the Rossby dipole evolution and can reduce the threshold of the disturbance energy increase.
Keywords:  Rossby wave      sheared zonal flow      dipole      scalar nonlinearity     
Received:  27 September 2013      Published:  15 June 2014
PACS:  47.32.-y (Vortex dynamics; rotating fluids) (Vortex stability and breakdown)  
  47.20.Ft (Instability of shear flows (e.g., Kelvin-Helmholtz))  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 41175052).
Corresponding Authors:  Zhang Xi-Ping     E-mail:

Cite this article: 

Zhang Xi-Ping, Zhao Qiang The interaction between zonal flow and Rossby waves with scalar nonlinearity 2014 Chin. Phys. B 23 064703

[1] Pedlosky J 1987 Geophysical Fluid Dynamics (New York: Springer-Verlag)
[2] Kaladze T D, Wu D J, Pokhotelov O A, Sagdeev R Z, Stenflo L and Shukla P K 2005 Phys. Plasmas 12 122311
[3] Balk A M and Zakharov V E 2009 Phys. Lett. A 373 4049
[4] Connaughton C P, Nadiga B T, Nazarenko S V and Quinn B E 2010 J. Fluid Mech. 654 207
[5] Onishchenko O G, Pokhotelov O A, Sagdeev R Z, Shukla P K and Stenflo L 2004 Nonlinear Proc. Geoph. 11 241
[6] Mikhailovskii A B, Shirokov M S, Smolyakov A I and Tsypin V S 2006 JETP Lett. 84 76
[7] Mikhailovskii A B, Lominadze J G, Erokhin N N, Erokhin N S, Smolyakov A I and Tsypin V S 2007 Phys. Lett. A 369 218
[8] Lee Y and Smith L M 2007 J. Fluid Mech. 576 405
[9] Burzlaff J, DeLoughry E and Lynch P 2008 Geophys. Astro. Fluid 102 165
[10] Wordsworth R D 2009 Phys. Fluid 21 056602
[11] Nazarenko S and Quinn B 2009 Phys. Rev. Lett. 103 118501
[12] Jovanović D and Shukla P K 2010 Phys. Lett. A 374 2048
[13] Galperin B, Sukoriansky S and Dikovskaya N 2010 Ocean Dynamics 60 427
[14] Balk A M, van Heerden F and Weichman P B 2011 Phys. Rev. E 83 046320
[15] Yang H W, Yin B S, Yang D Z and Xu Z H 2011 Chin. Phys. B 120203
[16] Kaladze T D, Pokhotelov O A, Stenflo L, Rogava J, Tsamalashvili L V and Tsiklauri M 2008 Phys. Lett. A 372 5177
[17] Balk A M and van Heerden F 2006 Physica D: Nonlinear Phenomena 223 109
[18] Kukharkin N and Orszag S A 1996 Phys. Rev. E 54 R4524
[19] Tan B K and Boyd J P 1997 Wave Motion 26 239
[20] Zhao Q, Zhao Y and Liu S K 2006 Commun. Theor. Phys. 45 414
[21] Kaladze T, Rogava J, Tsamalashvili L and Tsiklauri M 2005 Phys. Lett. A 343 199
[22] Larichev V D and Reznik G M 1976 Dokl. Akad. Nauk SSSR 231 1077
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