Nazarenko, Sergey and Quinn, Brenda E. (2009) Triple cascade behaviour in QG and drift turbulence and generation of zonal jets. Physical Review Letters, Vol.10 (No.11). p. 8501. doi:10.1103/PhysRevLett.103.118501

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Abstract

We study quasigeostrophic (QG) and plasma drift turbulence within the Charney-Hasegawa-Mima (CHM) model. We focus on the zonostrophy, an extra invariant in the CHM model, and on its role in the formation of zonal jets. We use a generalized Fjørtoft argument for the energy, enstrophy, and zonostrophy and show that they cascade anisotropically into nonintersecting sectors in k space with the energy cascading towards large zonal scales. Using direct numerical simulations of the CHM equation, we show that zonostrophy is well conserved, and the three invariants cascade as predicted by the Fjørtoft argument.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Plasma turbulence, Turbulence -- Research, Geostrophic currents, Plasma jets, Fluid dynamics
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Official Date:	22 September 2009
Dates:	Date Event 22 September 2009 Published
Volume:	Vol.10
Number:	No.11
Page Range:	p. 8501
DOI:	10.1103/PhysRevLett.103.118501
Status:	Peer Reviewed
Access rights to Published version:	Restricted or Subscription Access
Version or Related Resource:	Nazarenko, N. and Quinn, B. E. (2010). Triple cascade behaviour in QG and drift turbulence and generation of zonal jets. IUTAM Symposium on Turbulence in the Atmosphere and Oceans, 28, pp. 265-288
Related URLs:	Related item in WRAP

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