Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence

Research output: Contribution to journalArticle

Abstract

A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the one-state modified Hasegawa-Mima (MHM for short) model, which creates enhanced zonal flows and more physically relevant features in comparison with the familiar Charney-Hasegawa-Mima (CHM for short) model for both plasma and geophysical flows. The generation mechanism of zonal jets is displayed from the secondary instability analysis via nonlinear interactions with a background base state. Strong exponential growth in the zonal modes is induced due to a non-zonal drift wave base state in the MHM model, while stabilizing damping effect is shown with a zonal flow base state. Together with the selective decay effect from the dissipation, the secondary instability offers a complete characterization of the convergence process to the purely zonal structure. Direct numerical simulations with and without dissipation are carried out to confirm the instability theory. It shows clearly the emergence of a dominant zonal flow from pure non-zonal drift waves with small perturbation in the initial configuration. In comparison, the CHM model does not create instability in the zonal modes and usually converges to homogeneous turbulence.

Original languageEnglish (US)
Pages (from-to)869-890
Number of pages22
JournalChinese Annals of Mathematics. Series B
Volume40
Issue number6
DOIs
StatePublished - Nov 1 2019

Fingerprint

Plasma stability
Turbulence
Plasma
Plasmas
Dissipation
Geophysical Flows
Nonlinear Interaction
Direct numerical simulation
Exponential Growth
Small Perturbations
Model
Persistence
Damping
Fusion
Fusion reactions
Physics
Decay
Converge
Configuration

Keywords

  • 35Q60
  • 76E25
  • 76F06
  • Drift wave turbulence
  • Modified Hasegawa-Mima model
  • Secondary instability
  • Zonal flow generation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence. / Qi, Di; Majda, Andrew J.

In: Chinese Annals of Mathematics. Series B, Vol. 40, No. 6, 01.11.2019, p. 869-890.

Research output: Contribution to journalArticle

@article{63465a5689ff48c7aebcaa4796acd70d,
title = "Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence",
abstract = "A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the one-state modified Hasegawa-Mima (MHM for short) model, which creates enhanced zonal flows and more physically relevant features in comparison with the familiar Charney-Hasegawa-Mima (CHM for short) model for both plasma and geophysical flows. The generation mechanism of zonal jets is displayed from the secondary instability analysis via nonlinear interactions with a background base state. Strong exponential growth in the zonal modes is induced due to a non-zonal drift wave base state in the MHM model, while stabilizing damping effect is shown with a zonal flow base state. Together with the selective decay effect from the dissipation, the secondary instability offers a complete characterization of the convergence process to the purely zonal structure. Direct numerical simulations with and without dissipation are carried out to confirm the instability theory. It shows clearly the emergence of a dominant zonal flow from pure non-zonal drift waves with small perturbation in the initial configuration. In comparison, the CHM model does not create instability in the zonal modes and usually converges to homogeneous turbulence.",
keywords = "35Q60, 76E25, 76F06, Drift wave turbulence, Modified Hasegawa-Mima model, Secondary instability, Zonal flow generation",
author = "Di Qi and Majda, {Andrew J.}",
year = "2019",
month = "11",
day = "1",
doi = "10.1007/s11401-019-0165-1",
language = "English (US)",
volume = "40",
pages = "869--890",
journal = "Chinese Annals of Mathematics. Series B",
issn = "0252-9599",
publisher = "Springer Verlag",
number = "6",

}

TY - JOUR

T1 - Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence

AU - Qi, Di

AU - Majda, Andrew J.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the one-state modified Hasegawa-Mima (MHM for short) model, which creates enhanced zonal flows and more physically relevant features in comparison with the familiar Charney-Hasegawa-Mima (CHM for short) model for both plasma and geophysical flows. The generation mechanism of zonal jets is displayed from the secondary instability analysis via nonlinear interactions with a background base state. Strong exponential growth in the zonal modes is induced due to a non-zonal drift wave base state in the MHM model, while stabilizing damping effect is shown with a zonal flow base state. Together with the selective decay effect from the dissipation, the secondary instability offers a complete characterization of the convergence process to the purely zonal structure. Direct numerical simulations with and without dissipation are carried out to confirm the instability theory. It shows clearly the emergence of a dominant zonal flow from pure non-zonal drift waves with small perturbation in the initial configuration. In comparison, the CHM model does not create instability in the zonal modes and usually converges to homogeneous turbulence.

AB - A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the one-state modified Hasegawa-Mima (MHM for short) model, which creates enhanced zonal flows and more physically relevant features in comparison with the familiar Charney-Hasegawa-Mima (CHM for short) model for both plasma and geophysical flows. The generation mechanism of zonal jets is displayed from the secondary instability analysis via nonlinear interactions with a background base state. Strong exponential growth in the zonal modes is induced due to a non-zonal drift wave base state in the MHM model, while stabilizing damping effect is shown with a zonal flow base state. Together with the selective decay effect from the dissipation, the secondary instability offers a complete characterization of the convergence process to the purely zonal structure. Direct numerical simulations with and without dissipation are carried out to confirm the instability theory. It shows clearly the emergence of a dominant zonal flow from pure non-zonal drift waves with small perturbation in the initial configuration. In comparison, the CHM model does not create instability in the zonal modes and usually converges to homogeneous turbulence.

KW - 35Q60

KW - 76E25

KW - 76F06

KW - Drift wave turbulence

KW - Modified Hasegawa-Mima model

KW - Secondary instability

KW - Zonal flow generation

UR - http://www.scopus.com/inward/record.url?scp=85075124848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075124848&partnerID=8YFLogxK

U2 - 10.1007/s11401-019-0165-1

DO - 10.1007/s11401-019-0165-1

M3 - Article

AN - SCOPUS:85075124848

VL - 40

SP - 869

EP - 890

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

SN - 0252-9599

IS - 6

ER -