The Library

Triple cascade behaviour in QG and drift turbulence and generation of zonal jets

Tools

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. ISSN 0031-9007

[img]
Preview
 PDF
WRAP_nazarenko_Triple_Cascade.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (435Kb)

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 > 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
Volume: Vol.10
Number: No.11
Page Range: p. 8501
Identification Number: 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:
References:

# A. A. Simon, Icarus 141, 29 (1999). [Inspec] [ISI]
# A. Sanchez-Lavega, J. F. Rojas, and P. V. Sada, Icarus 147, 405 (2000). [Inspec] [ISI]
# B. Galperin, H. Nakano, H. P. Huang, and S. Sukoriansky, Geophys. Res. Lett. 31, L13303 (2004). [ISI]
# J. M. Lewis, Bull. Am. Meteorol. Soc. 79, 39 (1998). [Inspec]
# A. E. Gill, Atmosphere-Ocean Dynamics (Academic Press, New York, 1982).
# N. A. Maximenko, O. V. Melnichenko, P. Niiler, and H. Sasaki, Geophys. Res. Lett. 35, L08603 (2008).
# P. H. Diamond, S. I. Itoh, K. Itoh, and T. S. Hahm, Plasma Phys. Controlled Fusion 47, R35 (2005).
# I. N. James, J. Atmos. Sci. 44, 3710 (1987). [Inspec] [ISI]
# A. M. Balk, S. V. Nazarenko, and V. E. Zakharov, Phys. Lett. A 146, 217 (1990). [Inspec] [ISI]
# F. Wagner et al., Phys. Rev. Lett. 49, 1408 (1982).
# G. P. Williams, J. Atmos. Sci. 35, 1399 (1978). [Inspec] [ISI]
# P. Rhines, J. Fluid Mech. 69, 417 (1975).
# P. B. Rhines, Annu. Rev. Fluid Mech. 11, 401 (1979). [ISI]
# R. Fjørtoft, Tellus 5, 225 (1953).
# R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
# A. M. Balk, S. V. Nazarenko, and V. E. Zakharov, in Proceedings of the International Symposium: Generation of Large-Scale Structures in Continuous Media (World Scientific, Singapore, 1990), p. 34.
# A. M. Balk, S. V. Nazarenko, and V. E. Zakharov, Phys. Lett. A 152, 276 (1991). [Inspec] [ISI]
# A. M. Balk, Phys. Lett. A 155, 20 (1991). [Inspec]
# A. M. Balk, Phys. Lett. A 345, 154 (2005).
# J. G. Charney, J. Meteorol. 6, 371 (1949).
# A. Hasegawa and K. Mima, Phys. Fluids 21, 87 (1978).
URI: http://wrap.warwick.ac.uk/id/eprint/2335

Request changes or add full text files to a record

Actions (login required)

View Item View Item

Document Downloads

More statistics for this item...