A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features

Majda, Andrew J.; Qi, Di; Cerfon, Antoine J.

doi:10.1063/1.5049389

Title: A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features

Abstract

We propose a new reduced fluid model for the study of the drift wave–zonal flow dynamics in magnetically confined plasmas. Our model can be viewed as an extension of the classic Hasegawa-Wakatani (HW) model and is based on an improved treatment of the electron dynamics parallel to the field lines, to guarantee a balanced electron flux on the magnetic surfaces. Our flux-balanced HW (bHW) model contains the same drift-wave instability as previous HW models, but unlike these models, it converges exactly to the modified Hasegawa-Mima model in the collisionless limit. We rely on direct numerical simulations to illustrate some of the key features of the bHW model, such as the enhanced variability in the turbulent fluctuations and the existence of stronger and more turbulent zonal jets than the jets observed in other HW models, especially for high plasma resistivity. Our simulations also highlight the crucial role of the feedback of the third-order statistical moments in achieving a statistical equilibrium with strong zonal structures. Finally, we investigate the changes in the observed dynamics when more general dissipation effects are included and, in particular, when we include the reduced model for ion Landau damping originally proposed by Wakatani and Hasegawa.

Authors:

Majda, Andrew J. ^[1];

^[1]; Cerfon, Antoine J. ^[1]

New York Univ. (NYU), NY (United States)

Publication Date:: Fri Oct 19 00:00:00 EDT 2018

Research Org.:: New York Univ. (NYU), NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1610075

Alternate Identifier(s):: OSTI ID: 1478277

Grant/Contract Number:: FG02-86ER53223; SC0012398

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 25; Journal Issue: 10; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Physics; Plasma confinement; Turbulent flows; Plasma instabilities

Citation Formats


                    Majda, Andrew J., Qi, Di, and Cerfon, Antoine J. A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features.  United States: N. p., 2018. 
Web.  doi:10.1063/1.5049389.

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                    Majda, Andrew J., Qi, Di, & Cerfon, Antoine J. A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features.  United States.  https://doi.org/10.1063/1.5049389

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                    Majda, Andrew J., Qi, Di, and Cerfon, Antoine J. Fri .  
"A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features".  United States.  https://doi.org/10.1063/1.5049389.  https://www.osti.gov/servlets/purl/1610075.

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@article{osti_1610075,

  title        = {A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features},

  author       = {Majda, Andrew J. and Qi, Di and Cerfon, Antoine J.},

  abstractNote = {We propose a new reduced fluid model for the study of the drift wave–zonal flow dynamics in magnetically confined plasmas. Our model can be viewed as an extension of the classic Hasegawa-Wakatani (HW) model and is based on an improved treatment of the electron dynamics parallel to the field lines, to guarantee a balanced electron flux on the magnetic surfaces. Our flux-balanced HW (bHW) model contains the same drift-wave instability as previous HW models, but unlike these models, it converges exactly to the modified Hasegawa-Mima model in the collisionless limit. We rely on direct numerical simulations to illustrate some of the key features of the bHW model, such as the enhanced variability in the turbulent fluctuations and the existence of stronger and more turbulent zonal jets than the jets observed in other HW models, especially for high plasma resistivity. Our simulations also highlight the crucial role of the feedback of the third-order statistical moments in achieving a statistical equilibrium with strong zonal structures. Finally, we investigate the changes in the observed dynamics when more general dissipation effects are included and, in particular, when we include the reduced model for ion Landau damping originally proposed by Wakatani and Hasegawa.},

  doi          = {10.1063/1.5049389},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 25,

  place        = {United States},

  year         = {Fri Oct 19 00:00:00 EDT 2018},

  month        = {Fri Oct 19 00:00:00 EDT 2018}

}

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Works referenced in this record:

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Bifurcation in electrostatic resistive drift wave turbulence
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text, January 2012

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Hamiltonian formulation of the modified Hasegawa Mima equation
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Works referencing / citing this record:

Transient Metastability and Selective Decay for the Coherent Zonal Structures in Plasma Drift Wave Turbulence
journal, April 2019

Qi, Di; Majda, Andrew J.
Journal of Nonlinear Science, Vol. 29, Issue 5
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Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems
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Majda, Andrew J.; Qi, Di
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 29, Issue 10
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Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence
journal, November 2019

Qi, Di; Majda, Andrew J.
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Linking the two-field dynamics of plasma edge turbulence with the one-field balanced model through systematic unstable forcing at low resistivity
journal, May 2019

Qi, Di; Majda, Andrew J.
Physics of Plasmas, Vol. 26, Issue 5
DOI: 10.1063/1.5095406

A flux-balanced fluid model for collisional plasma edge turbulence: Numerical simulations with different aspect ratios
journal, August 2019

Qi, Di; Majda, Andrew J.; Cerfon, Antoine J.
Physics of Plasmas, Vol. 26, Issue 8
DOI: 10.1063/1.5083845

A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios
text, January 2018

Qi, Di; Majda, Andrew J.; Cerfon, Antoine J.
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Solitary zonal structures in subcritical drift waves: a minimum model
journal, March 2020

Zhou, Yao; Zhu, Hongxuan; Dodin, I. Y.
Plasma Physics and Controlled Fusion, Vol. 62, Issue 4
DOI: 10.1088/1361-6587/ab78f3

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence
preprint, January 2019

Qi, Di; Majda, Andrew J.
arXiv
DOI: 10.48550/arxiv.1901.08590

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Title: A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features

Abstract

Citation Formats

Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems journal, January 2018

Gyrokinetic linear theory of the entropy mode in a Z pinch journal, June 2006

Resistive drift‐wave turbulence journal, January 1995

Fluid moment models for Landau damping with application to the ion-temperature-gradient instability journal, June 1990

Nonlinear behavior and turbulence spectra of drift waves and Rossby waves journal, January 1979

Dynamics of zonal flows: failure of wave-kinetic theory, and new geometrical optics approximations journal, November 2016

Plasma Edge Turbulence journal, February 1983

Nonadiabatic electron response in the Hasegawa-Wakatani equations journal, August 2013

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma journal, January 1978

Generation of zonal flows through symmetry breaking of statistical homogeneity journal, March 2014

Transport matrix for particles and momentum in collisional drift waves turbulence in linear plasma devices journal, February 2016

A collisional drift wave description of plasma edge turbulence journal, January 1984

Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes journal, July 1994

Feedback of zonal flows on wave turbulence driven by small-scale instability in the Charney-Hasegawa-Mima model journal, September 2011

The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence journal, June 2016

Zonal flow Generation by Modulational Instability conference, January 2012

Bifurcation in electrostatic resistive drift wave turbulence journal, October 2007

Drift waves and transport journal, April 1999

Gyrofluid turbulence models with kinetic effects journal, March 1993

Zonal flows in plasma—a review journal, April 2005

Low-Dimensional Reduced-Order Models for Statistical Response and Uncertainty Quantification: Two-Layer Baroclinic Turbulence journal, December 2016

Zonal flow generation and its feedback on turbulence production in drift wave turbulence journal, April 2013

Developments in the gyrofluid approach to Tokamak turbulence simulations journal, August 1993

Gyrokinetic simulation of zonal flows and ion temperature gradient turbulence in helical systems journal, September 2007

Hamiltonian formulation of the modified Hasegawa–Mima equation journal, February 2014

Physics of zonal flows journal, May 2006

Bifurcation in electrostatic resistive drift wave turbulence text, January 2007

Zonal flow generation and its feedback on turbulence production in drift wave turbulence text, January 2012

Hamiltonian formulation of the modified Hasegawa Mima equation text, January 2013

Dynamics of Zonal Flows: Failure of Wave-Kinetic Theory, and New Geometrical Optics Approximations text, January 2016

Zonal flow generation by modulational instability text, January 2006

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma journal, January 1978

Gyrokinetic simulation of zonal flows and ion temperature gradient turbulence in helical systems journal, September 2007

Self-organization of electrostatic turbulence in a cylindrical plasma journal, October 1987

Bifurcation in electrostatic resistive drift wave turbulence text, January 2007

Transient Metastability and Selective Decay for the Coherent Zonal Structures in Plasma Drift Wave Turbulence journal, April 2019

Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems journal, October 2019

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence journal, November 2019

Linking the two-field dynamics of plasma edge turbulence with the one-field balanced model through systematic unstable forcing at low resistivity journal, May 2019

A flux-balanced fluid model for collisional plasma edge turbulence: Numerical simulations with different aspect ratios journal, August 2019

A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios text, January 2018

Solitary zonal structures in subcritical drift waves: a minimum model journal, March 2020

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence preprint, January 2019

Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems
journal, January 2018

Gyrokinetic linear theory of the entropy mode in a Z pinch
journal, June 2006

Resistive drift‐wave turbulence
journal, January 1995

Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990

Nonlinear behavior and turbulence spectra of drift waves and Rossby waves
journal, January 1979

Dynamics of zonal flows: failure of wave-kinetic theory, and new geometrical optics approximations
journal, November 2016

Plasma Edge Turbulence
journal, February 1983

Nonadiabatic electron response in the Hasegawa-Wakatani equations
journal, August 2013

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
journal, January 1978

Generation of zonal flows through symmetry breaking of statistical homogeneity
journal, March 2014

Transport matrix for particles and momentum in collisional drift waves turbulence in linear plasma devices
journal, February 2016

A collisional drift wave description of plasma edge turbulence
journal, January 1984

Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes
journal, July 1994

Feedback of zonal flows on wave turbulence driven by small-scale instability in the Charney-Hasegawa-Mima model
journal, September 2011

The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence
journal, June 2016

Zonal flow Generation by Modulational Instability
conference, January 2012

Bifurcation in electrostatic resistive drift wave turbulence
journal, October 2007

Drift waves and transport
journal, April 1999

Gyrofluid turbulence models with kinetic effects
journal, March 1993

Zonal flows in plasma—a review
journal, April 2005

Low-Dimensional Reduced-Order Models for Statistical Response and Uncertainty Quantification: Two-Layer Baroclinic Turbulence
journal, December 2016

Zonal flow generation and its feedback on turbulence production in drift wave turbulence
journal, April 2013

Developments in the gyrofluid approach to Tokamak turbulence simulations
journal, August 1993

Gyrokinetic simulation of zonal flows and ion temperature gradient turbulence in helical systems
journal, September 2007

Hamiltonian formulation of the modified Hasegawa–Mima equation
journal, February 2014

Physics of zonal flows
journal, May 2006

Bifurcation in electrostatic resistive drift wave turbulence
text, January 2007

Zonal flow generation and its feedback on turbulence production in drift wave turbulence
text, January 2012

Hamiltonian formulation of the modified Hasegawa Mima equation
text, January 2013

Dynamics of Zonal Flows: Failure of Wave-Kinetic Theory, and New Geometrical Optics Approximations
text, January 2016

Zonal flow generation by modulational instability
text, January 2006

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
journal, January 1978

Gyrokinetic simulation of zonal flows and ion temperature gradient turbulence in helical systems
journal, September 2007

Self-organization of electrostatic turbulence in a cylindrical plasma
journal, October 1987

Bifurcation in electrostatic resistive drift wave turbulence
text, January 2007

Transient Metastability and Selective Decay for the Coherent Zonal Structures in Plasma Drift Wave Turbulence
journal, April 2019

Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems
journal, October 2019

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence
journal, November 2019

Linking the two-field dynamics of plasma edge turbulence with the one-field balanced model through systematic unstable forcing at low resistivity
journal, May 2019

A flux-balanced fluid model for collisional plasma edge turbulence: Numerical simulations with different aspect ratios
journal, August 2019

A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios
text, January 2018

Solitary zonal structures in subcritical drift waves: a minimum model
journal, March 2020

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence
preprint, January 2019