Effects of plasmoid formation on sawtooth process in a tokamak

Ali, A.; Zhu, P.

doi:10.1063/1.5091857

Title: Effects of plasmoid formation on sawtooth process in a tokamak

Abstract

For realistic values of the Lundquist number in tokamak plasmas, 1/1 magnetic islands lead to the formation of a secondary thin current sheet, which breaks up into a chain of small magnetic islands, called plasmoids. The role of plasmoid dynamics during the sawtooth reconnection process in fusion plasmas remains an unresolved issue. In this study, systematic simulations are performed to investigate the resistive internal kink mode using the full resistive magnetohydrodynamics equations implemented in the NIMROD code in a simplified tokamak geometry. For Lundquist number S≥1.6×10⁷, the secondary current sheet is found to be unstable to plasmoids during the nonlinear resistive kink mode evolution with a critical aspect ratio of the current sheet of ~70. The merging of small plasmoids leads to the formation of a monster plasmoid that can significantly affect the primary island evolution. This may provide an explanation for the partial reconnection observed in sawtooth experiments.

Authors:

^[1];

^[2]

National Tokamak Fusion Program, Islamabad (Pakistan); Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China)
Univ. of Science and Technology of China, Hefei (China); Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Wisconsin, Madison, WI (United States)

Publication Date:: Wed May 01 00:00:00 EDT 2019

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

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

OSTI Identifier:: 1610069

Alternate Identifier(s):: OSTI ID: 1515611

Grant/Contract Number:: FG02-86ER53218; SC0018001

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 26; Journal Issue: 5; 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; Finite-element analysis; Plasma codes; Plasma confinement; Computational models; Plasma instabilities; Tokamaks; Magnetohydrodynamics; Computational physics; Magnetic reconnectio; Computer simulation

Citation Formats


                    Ali, A., and Zhu, P. Effects of plasmoid formation on sawtooth process in a tokamak.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5091857.

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                    Ali, A., & Zhu, P. Effects of plasmoid formation on sawtooth process in a tokamak.  United States.  https://doi.org/10.1063/1.5091857

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                    Ali, A., and Zhu, P. Wed .  
"Effects of plasmoid formation on sawtooth process in a tokamak".  United States.  https://doi.org/10.1063/1.5091857.  https://www.osti.gov/servlets/purl/1610069.

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@article{osti_1610069,

  title        = {Effects of plasmoid formation on sawtooth process in a tokamak},

  author       = {Ali, A. and Zhu, P.},

  abstractNote = {For realistic values of the Lundquist number in tokamak plasmas, 1/1 magnetic islands lead to the formation of a secondary thin current sheet, which breaks up into a chain of small magnetic islands, called plasmoids. The role of plasmoid dynamics during the sawtooth reconnection process in fusion plasmas remains an unresolved issue. In this study, systematic simulations are performed to investigate the resistive internal kink mode using the full resistive magnetohydrodynamics equations implemented in the NIMROD code in a simplified tokamak geometry. For Lundquist number S≥1.6×107, the secondary current sheet is found to be unstable to plasmoids during the nonlinear resistive kink mode evolution with a critical aspect ratio of the current sheet of ~70. The merging of small plasmoids leads to the formation of a monster plasmoid that can significantly affect the primary island evolution. This may provide an explanation for the partial reconnection observed in sawtooth experiments.},

  doi          = {10.1063/1.5091857},

  journal      = {Physics of Plasmas},

  number       = 5,

  volume       = 26,

  place        = {United States},

  year         = {Wed May 01 00:00:00 EDT 2019},

  month        = {Wed May 01 00:00:00 EDT 2019}

}

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Works referencing / citing this record:

Role of Hall effect on the resistive kink mode in tokamaks
journal, January 2020

Zhang, W.; Ma, Z. W.; Zhang, H. W.
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journal, September 2019

Horiuchi, Ritoku; Usami, Shunsuke; Moritaka, Toseo
Physics of Plasmas, Vol. 26, Issue 9
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Title: Effects of plasmoid formation on sawtooth process in a tokamak

Abstract

Citation Formats

Internal disruptions in the TFR tokamak: A phenomenological analysis journal, February 1983

Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus journal, November 1987

Plasmoids Formation During Simulations of Coaxial Helicity Injection in the National Spherical Torus Experiment journal, May 2015

Concept Design of CFETR Tokamak Machine journal, March 2014

Nonlinear collisionless magnetic reconnection journal, December 1993

Nonlinear magnetohydrodynamics simulation using high-order finite elements journal, March 2004

Sawtooth reconnection journal, December 1990

Fast reconnection in high-Lundquist-number plasmas due to the plasmoid Instability journal, November 2009

Physics Design of CFETR: Determination of the Device Engineering Parameters journal, March 2014

Comparison Study of 2D Images of Temperature Fluctuations during Sawtooth Oscillation with Theoretical Models journal, May 2006

Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas journal, April 2012

Structure and dynamics of sawteeth crashes in ASDEX Upgrade journal, December 2010

Nonlinear reconnecting edge localized modes in current-carrying plasmas journal, May 2017

Plasmoid and Kelvin-Helmholtz instabilities in Sweet-Parker current sheets journal, January 2013

On the abrupt growth dynamics of nonlinear resistive tearing mode and the viscosity effects journal, May 2014

Visco-resistive plasmoid instability journal, March 2016

Formation of plasmoids during sawtooth crashes journal, May 2014

Studies of Internal Disruptions and m = 1 Oscillations in Tokamak Discharges with Soft—X-Ray Tecniques journal, November 1974

A new theoretical model for fast sawtooth collapse journal, August 1995

Rapid Collapse of a Plasma Sawtooth Oscillation in the JET Tokamak journal, July 1986

Magnetic reconnection via current sheets journal, January 1986

Fast sawtooth reconnection at realistic Lundquist numbers journal, November 2014

Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma journal, October 1994

On the magnetic reconnection of resistive tearing mode with the dynamic flow effects journal, April 2015

Dynamo-driven plasmoid formation from a current-sheet instability journal, December 2016

Oscillation regimes of the internal kink mode in tokamak plasmas journal, November 2010

Collisionless reconnection and the sawtooth crash journal, March 1991

Instability of current sheets and formation of plasmoid chains journal, October 2007

Onset of fast reconnection in Hall magnetohydrodynamics mediated by the plasmoid instability journal, July 2011

Sweet's mechanism for merging magnetic fields in conducting fluids journal, December 1957

Fast Magnetic Reconnection in the Plasmoid-Dominated Regime journal, December 2010

Evaluation of CFETR as a Fusion Nuclear Science Facility using multiple system codes journal, January 2015

Transition from collisional to kinetic regimes in large-scale reconnection layers journal, August 2009

Fast magnetic reconnection in the plasmoid-dominated regime text, January 2010

Onset of Fast Reconnection in Hall Magnetohydrodynamics Mediated by the Plasmoid Instability text, January 2010

Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas text, January 2011

Plasmoids formation during simulations of coaxial helicity injection in the National Spherical Torus Experiment text, January 2022

Role of Hall effect on the resistive kink mode in tokamaks journal, January 2020

Particle simulation studies of merging processes of two spherical-tokamak-type plasmoids journal, September 2019

Internal disruptions in the TFR tokamak: A phenomenological analysis
journal, February 1983

Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus
journal, November 1987

Plasmoids Formation During Simulations of Coaxial Helicity Injection in the National Spherical Torus Experiment
journal, May 2015

Concept Design of CFETR Tokamak Machine
journal, March 2014

Nonlinear collisionless magnetic reconnection
journal, December 1993

Nonlinear magnetohydrodynamics simulation using high-order finite elements
journal, March 2004

Sawtooth reconnection
journal, December 1990

Fast reconnection in high-Lundquist-number plasmas due to the plasmoid Instability
journal, November 2009

Physics Design of CFETR: Determination of the Device Engineering Parameters
journal, March 2014

Comparison Study of 2D Images of Temperature Fluctuations during Sawtooth Oscillation with Theoretical Models
journal, May 2006

Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas
journal, April 2012

Structure and dynamics of sawteeth crashes in ASDEX Upgrade
journal, December 2010

Nonlinear reconnecting edge localized modes in current-carrying plasmas
journal, May 2017

Plasmoid and Kelvin-Helmholtz instabilities in Sweet-Parker current sheets
journal, January 2013

On the abrupt growth dynamics of nonlinear resistive tearing mode and the viscosity effects
journal, May 2014

Visco-resistive plasmoid instability
journal, March 2016

Formation of plasmoids during sawtooth crashes
journal, May 2014

Studies of Internal Disruptions and $m = 1$ Oscillations in Tokamak Discharges with Soft—X-Ray Tecniques
journal, November 1974

A new theoretical model for fast sawtooth collapse
journal, August 1995

Rapid Collapse of a Plasma Sawtooth Oscillation in the JET Tokamak
journal, July 1986

Magnetic reconnection via current sheets
journal, January 1986

Fast sawtooth reconnection at realistic Lundquist numbers
journal, November 2014

Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma
journal, October 1994

On the magnetic reconnection of resistive tearing mode with the dynamic flow effects
journal, April 2015

Dynamo-driven plasmoid formation from a current-sheet instability
journal, December 2016

Oscillation regimes of the internal kink mode in tokamak plasmas
journal, November 2010

Collisionless reconnection and the sawtooth crash
journal, March 1991

Instability of current sheets and formation of plasmoid chains
journal, October 2007

Onset of fast reconnection in Hall magnetohydrodynamics mediated by the plasmoid instability
journal, July 2011

Sweet's mechanism for merging magnetic fields in conducting fluids
journal, December 1957

Fast Magnetic Reconnection in the Plasmoid-Dominated Regime
journal, December 2010

Evaluation of CFETR as a Fusion Nuclear Science Facility using multiple system codes
journal, January 2015

Transition from collisional to kinetic regimes in large-scale reconnection layers
journal, August 2009

Fast magnetic reconnection in the plasmoid-dominated regime
text, January 2010

Onset of Fast Reconnection in Hall Magnetohydrodynamics Mediated by the Plasmoid Instability
text, January 2010

Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas
text, January 2011

Plasmoids formation during simulations of coaxial helicity injection in the National Spherical Torus Experiment
text, January 2022

Role of Hall effect on the resistive kink mode in tokamaks
journal, January 2020

Particle simulation studies of merging processes of two spherical-tokamak-type plasmoids
journal, September 2019