Scale selection and feedback loops for patterns in drift wave-zonal flow turbulence
Abstract
The scale selection and feedback loops for the formation and sustainment of a mesoscopic staircase profile structure are investigated for drift wave-zonal flow turbulence. A mean field model derived from the Hasegawa-Wakatani system and including the evolution of mean density, mean vorticity and perturbed potential enstrophy (PE), is used. Here, it is found that a quasi-periodic zonal staircase forms from self-sharpening of modulation. The principle feedback loop is through the nonlinear dependence of mixing length on electron density gradient, which enters by way of the potential vorticity (PV) gradient. Counterintuitively, E×B shearing is not effective. Moreover, the number of steps in the staircase is sensitive to both the drive (production rate of PE and initial density gradient) and damping (flow viscosity and collisional diffusivity) factors. The minimal step scale is selected by competition between the initial density gradient and diffusive dissipation. Finite turbulence spreading is necessary to form the staircase, but moderate enhancement of turbulence spreading tends to wash out the pattern. The staircase retains a memory of its initial state. Both the mean E×B shear and zonal shear affect the staircase evolution. A strong mean shear quenches the pattern by suppressing the drift wave turbulence. Lastly, the implications ofmore »
- Authors:
-
- Huazhong Univ. of Science and Technology, Wuhan (China)
- Univ. of California San Diego, La Jolla, CA (United States)
- Univ. of Leeds (United Kingdom)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1546784
- Grant/Contract Number:
- FG02-04ER54738
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Plasma Physics and Controlled Fusion
- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 10; Journal ID: ISSN 0741-3335
- Publisher:
- IOP Science
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Guo, Weixin, Diamond, Patrick, Hughes, David W., Wang, Lu, and Ashourvan, Arash. Scale selection and feedback loops for patterns in drift wave-zonal flow turbulence. United States: N. p., 2019.
Web. doi:10.1088/1361-6587/ab3831.
Guo, Weixin, Diamond, Patrick, Hughes, David W., Wang, Lu, & Ashourvan, Arash. Scale selection and feedback loops for patterns in drift wave-zonal flow turbulence. United States. doi:10.1088/1361-6587/ab3831.
Guo, Weixin, Diamond, Patrick, Hughes, David W., Wang, Lu, and Ashourvan, Arash. Fri .
"Scale selection and feedback loops for patterns in drift wave-zonal flow turbulence". United States. doi:10.1088/1361-6587/ab3831. https://www.osti.gov/servlets/purl/1546784.
@article{osti_1546784,
title = {Scale selection and feedback loops for patterns in drift wave-zonal flow turbulence},
author = {Guo, Weixin and Diamond, Patrick and Hughes, David W. and Wang, Lu and Ashourvan, Arash},
abstractNote = {The scale selection and feedback loops for the formation and sustainment of a mesoscopic staircase profile structure are investigated for drift wave-zonal flow turbulence. A mean field model derived from the Hasegawa-Wakatani system and including the evolution of mean density, mean vorticity and perturbed potential enstrophy (PE), is used. Here, it is found that a quasi-periodic zonal staircase forms from self-sharpening of modulation. The principle feedback loop is through the nonlinear dependence of mixing length on electron density gradient, which enters by way of the potential vorticity (PV) gradient. Counterintuitively, E×B shearing is not effective. Moreover, the number of steps in the staircase is sensitive to both the drive (production rate of PE and initial density gradient) and damping (flow viscosity and collisional diffusivity) factors. The minimal step scale is selected by competition between the initial density gradient and diffusive dissipation. Finite turbulence spreading is necessary to form the staircase, but moderate enhancement of turbulence spreading tends to wash out the pattern. The staircase retains a memory of its initial state. Both the mean E×B shear and zonal shear affect the staircase evolution. A strong mean shear quenches the pattern by suppressing the drift wave turbulence. Lastly, the implications of these findings are also discussed.},
doi = {10.1088/1361-6587/ab3831},
journal = {Plasma Physics and Controlled Fusion},
number = 10,
volume = 61,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
Works referenced in this record:
How is turbulence intensity determined by macroscopic variables in a toroidal plasma?
journal, September 2013
- Inagaki, S.; Tokuzawa, T.; Tamura, N.
- Nuclear Fusion, Vol. 53, Issue 11
Bistable dynamics of turbulence spreading in a corrugated temperature profile
journal, October 2017
- Guo, Z. B.; Diamond, P. H.
- Physics of Plasmas, Vol. 24, Issue 10
How mesoscopic staircases condense to macroscopic barriers in confined plasma turbulence
journal, November 2016
- Ashourvan, Arash; Diamond, P. H.
- Physical Review E, Vol. 94, Issue 5
On the emergence of macroscopic transport barriers from staircase structures
journal, January 2017
- Ashourvan, Arash; Diamond, P. H.
- Physics of Plasmas, Vol. 24, Issue 1
Dynamics of potential vorticity staircase evolution and step mergers in a reduced model of beta-plane turbulence
journal, April 2019
- Malkov, M. A.; Diamond, P. H.
- Physical Review Fluids, Vol. 4, Issue 4
Turbulence in a strongly stratified fluid—is it unstable?
journal, January 1972
- Phillips, O. M.
- Deep Sea Research and Oceanographic Abstracts, Vol. 19, Issue 1
Dynamics of interfaces and layers in a stratified turbulent fluid
journal, January 1998
- Balmforth, N. J.; Llewellyn Smith, Stefan G.; Young, W. R.
- Journal of Fluid Mechanics, Vol. 355
Multiple Jets as PV Staircases: The Phillips Effect and the Resilience of Eddy-Transport Barriers
journal, March 2008
- Dritschel, D. G.; McIntyre, M. E.
- Journal of the Atmospheric Sciences, Vol. 65, Issue 3
Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere
journal, May 2010
- Obuse, Kiori; Takehiro, Shin-ichi; Yamada, Michio
- Physics of Fluids, Vol. 22, Issue 5
Linear stability of steady zonal jet flows induced by a small-scale forcing on a plane
journal, November 2011
- Obuse, Kiori; Takehiro, Shin-ichi; Yamada, Michio
- Physica D: Nonlinear Phenomena, Vol. 240, Issue 22
Weak interaction between zonal jets on a β plane
journal, July 2012
- Obuse, Kiori; Takehiro, Shin-ichi; Yamada, Michio
- Japan Journal of Industrial and Applied Mathematics, Vol. 30, Issue 1
Double-Diffusive Recipes. Part II: Layer-Merging Events
journal, May 2014
- Radko, T.; Flanagan, J. D.; Stellmach, S.
- Journal of Physical Oceanography, Vol. 44, Issue 5
On the validity of the local diffusive paradigm in turbulent plasma transport
journal, August 2010
- Dif-Pradalier, G.; Diamond, P. H.; Grandgirard, V.
- Physical Review E, Vol. 82, Issue 2
The E × B staircase of magnetised plasmas
journal, April 2017
- Dif-Pradalier, G.; Hornung, G.; Garbet, X.
- Nuclear Fusion, Vol. 57, Issue 6
$\mathbf{E}\times \mathbf{B}$ staircases and barrier permeability in magnetised plasmas
journal, November 2016
- Hornung, G.; Dif-Pradalier, G.; Clairet, F.
- Nuclear Fusion, Vol. 57, Issue 1
Finding the Elusive Staircase in Magnetized Plasmas
journal, February 2015
- Dif-Pradalier, G.; Hornung, G.; Ghendrih, Ph.
- Physical Review Letters, Vol. 114, Issue 8
Identification of Zonal Flows in a Toroidal Plasma
journal, October 2004
- Fujisawa, A.; Itoh, K.; Iguchi, H.
- Physical Review Letters, Vol. 93, Issue 16
Eddy Motion in the Atmosphere
journal, January 1915
- Taylor, G. I.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 215, Issue 523-537
Turbulence spreading into the linearly stable zone and transport scaling
journal, April 2004
- Hahm, T. S.; Diamond, P. H.; Lin, Z.
- Plasma Physics and Controlled Fusion, Vol. 46, Issue 5A
Plasma Edge Turbulence
journal, February 1983
- Hasegawa, Akira; Wakatani, Masahiro
- Physical Review Letters, Vol. 50, Issue 9
Self-organization of electrostatic turbulence in a cylindrical plasma
journal, October 1987
- Hasegawa, Akira; Wakatani, Masahiro
- Physical Review Letters, Vol. 59, Issue 14
Multi-device studies of pedestal physics and confinement in the I-mode regime
journal, July 2016
- Hubbard, A. E.; Osborne, T.; Ryter, F.
- Nuclear Fusion, Vol. 56, Issue 8
I-mode: an H-mode energy confinement regime with L-mode particle transport in Alcator C-Mod
journal, August 2010
- Whyte, D. G.; Hubbard, A. E.; Hughes, J. W.
- Nuclear Fusion, Vol. 50, Issue 10
Quiescent H-mode plasmas in the DIII-D tokamak
journal, April 2002
- Burrell, K. H.; Austin, M. E.; Brennan, D. P.
- Plasma Physics and Controlled Fusion, Vol. 44, Issue 5A
Scaling trends of the critical E × B shear for edge harmonic oscillation onset in DIII-D quiescent H-mode plasmas
journal, September 2018
- Wilks, T. M.; Garofalo, A. M.; Diamond, P. H.
- Nuclear Fusion, Vol. 58, Issue 11
From Phase Locking to Phase Slips: A Mechanism for a Quiescent mode
journal, April 2015
- Guo, Z. B.; Diamond, P. H.
- Physical Review Letters, Vol. 114, Issue 14
Excitation Mechanism of Low- Edge Harmonic Oscillations in Edge Localized Mode-Free, High Performance, Tokamak Plasmas
journal, April 2019
- Brunetti, D.; Graves, J. P.; Lazzaro, E.
- Physical Review Letters, Vol. 122, Issue 15
Transport matrix for particles and momentum in collisional drift waves turbulence in linear plasma devices
journal, February 2016
- Ashourvan, Arash; Diamond, P. H.; Gürcan, Ö. D.
- Physics of Plasmas, Vol. 23, Issue 2
Zonal flows in plasma—a review
journal, April 2005
- Diamond, P. H.; Itoh, S-I; Itoh, K.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 5
The ecology of flows and drift wave turbulence in CSDX: A model
journal, February 2018
- Hajjar, R. J.; Diamond, P. H.; Tynan, G. R.
- Physics of Plasmas, Vol. 25, Issue 2
Mesoscopic Transport Events and the Breakdown of Fick’s Law for Turbulent Fluxes
journal, September 2018
- Hahm, T. S.; Diamond, P. H.
- Journal of the Korean Physical Society, Vol. 73, Issue 6