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Triple cascade behaviour in QG and drift turbulence and generation of zonal jets
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Nazarenko, Sergey and Quinn, Brenda E. (2010) Triple cascade behaviour in QG and drift turbulence and generation of zonal jets. In: IUTAM Symposium Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans, Isaac Newton Inst Math Sci, Cambridge, 8-12 Dec 2008. Published in: IUTAM Symposium on Turbulence in the Atmosphere and Oceans, Vol.28 pp. 265-288. doi:10.1007/978-94-007-0360-5-22 ISSN 978-94-007-0359-9.
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Official URL: http://dx.doi.org/10.1007/978-94-007-0360-5_22
Abstract
We study quasi-geostrophic turbulence and plasma drift turbulence within the Charney-Hasegawa-Mima (CHM) model extending the work reported in [24]. We focus, theoretically and using numerical simulations, on conservation of zonostrophy and on its role in the formation of the zonal jets. The zonostrophy invariant was first predicted in [6; 5] in two special cases - large-scale turbulence and an isotropic turbulence. Papers [6; 5] also predicted that the three invariants, energy, enstrophy and zonostrophy, will cascade anisotropically into non-intersecting sectors in the k-space, so that the energy cascade is "pushed" into the large-scale zonal scales. In the present paper, we consider the scales much less than the Rossby deformation radius and generalise the Fjortoft argument of [6; 5] to find the directions of the three cascades in this case. For the first time, we demonstrate numerically that zonostrophy is well conserved by the CHM model, and that the energy, enstrophy and zonostrophy cascade as prescribed by the Fjortoft argument if the nonlinearity is sufficiently weak. Moreover, numerically we observe that zonostrophy is conserved surprisingly well at late times and the triple-cascade picture is rather accurate even if the initial nonlinearity is strong.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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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: | IUTAM Symposium on Turbulence in the Atmosphere and Oceans | ||||
Publisher: | Springer | ||||
ISSN: | 978-94-007-0359-9 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.28 | ||||
Page Range: | pp. 265-288 | ||||
DOI: | 10.1007/978-94-007-0360-5-22 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Version or Related Resource: | Nazarenko, S. and Quinn, B. (2009). Triple cascade behaviour in QG and drift turbulence and generation of zonal jets. Physical Review Letters, 103, 118501. | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | IUTAM Symposium Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans | ||||
Type of Event: | Conference | ||||
Location of Event: | Isaac Newton Inst Math Sci, Cambridge | ||||
Date(s) of Event: | 8-12 Dec 2008 | ||||
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