Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching

Fitzpatrick, Richard

doi:10.1063/1.4990701

Title: Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching

Abstract

Asymptotic matching techniques are used to calculate the response of a high temperature tokamak plasma with a realistic equilibrium to an externally generated, non-axisymmetric, static, magnetic perturbation. The plasma is divided into two regions. In the outer region, which comprises most of the plasma, the response is governed by the linearized equations of marginally stable, ideal-magnetohydrodynamics (MHD). In the inner region, which is strongly localized around the various rational surfaces within the plasma (where the marginally stable, ideal-MHD equations become singular), the response is governed by Glasser-Greene-Johnson linear layer physics. For the sake of simplicity, the paper focuses on the situation where the plasma at one of the internal rational surfaces is locked to the external perturbation, whereas that at the other surfaces is rotating.

Authors:

^[1]

Univ. of Texas, Austin, TX (United States)

Publication Date:: Thu Jul 06 00:00:00 EDT 2017

Research Org.:: Univ. of Texas, Austin, TX (United States)

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

OSTI Identifier:: 1535321

Alternate Identifier(s):: OSTI ID: 1368415

Grant/Contract Number:: FG02-04ER54742

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 24; Journal Issue: 7; 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

Citation Formats


                    Fitzpatrick, Richard. Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching.  United States: N. p., 2017. 
Web.  doi:10.1063/1.4990701.

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                    Fitzpatrick, Richard. Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching.  United States.  https://doi.org/10.1063/1.4990701

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                    Fitzpatrick, Richard. Thu .  
"Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching".  United States.  https://doi.org/10.1063/1.4990701.  https://www.osti.gov/servlets/purl/1535321.

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@article{osti_1535321,

  title        = {Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching},

  author       = {Fitzpatrick, Richard},

  abstractNote = {Asymptotic matching techniques are used to calculate the response of a high temperature tokamak plasma with a realistic equilibrium to an externally generated, non-axisymmetric, static, magnetic perturbation. The plasma is divided into two regions. In the outer region, which comprises most of the plasma, the response is governed by the linearized equations of marginally stable, ideal-magnetohydrodynamics (MHD). In the inner region, which is strongly localized around the various rational surfaces within the plasma (where the marginally stable, ideal-MHD equations become singular), the response is governed by Glasser-Greene-Johnson linear layer physics. For the sake of simplicity, the paper focuses on the situation where the plasma at one of the internal rational surfaces is locked to the external perturbation, whereas that at the other surfaces is rotating.},

  doi          = {10.1063/1.4990701},

  journal      = {Physics of Plasmas},

  number       = 7,

  volume       = 24,

  place        = {United States},

  year         = {Thu Jul 06 00:00:00 EDT 2017},

  month        = {Thu Jul 06 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

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journal, May 2007

Park, Jong-kyu; Boozer, Allen H.; Glasser, Alan H.
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Bifurcated states of a rotating tokamak plasma in the presence of a static error-field
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Cross-machine comparison of resonant field amplification and resistive wall mode stabilization by plasma rotation
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Reimerdes, H.; Hender, T. C.; Sabbagh, S. A.
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Numerical solution of the resistive magnetohydrodynamic boundary layer equations
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Resistive instabilities in general toroidal plasma configurations
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Chapter 2: Plasma confinement and transport
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Buttery, R. J.; Benedetti, M. De'; Hender, T. C.
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Nonaxisymmetric field effects on Alcator C-Mod
journal, May 2005

Wolfe, S. M.; Hutchinson, I. H.; Granetz, R. S.
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The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma
journal, July 2016

Glasser, A. H.
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Strong toroidal effects on tokamak tearing mode stability in the hybrid and conventional scenarios
journal, January 2012

Ham, C. J.; Connor, J. W.; Cowley, S. C.
Plasma Physics and Controlled Fusion, Vol. 54, Issue 2
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Measurement of resistive wall mode stability in rotating high-β DIII-D plasmas
journal, April 2005

Reimerdes, H.; Bialek, J.; Chance, M. S.
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Non-ideal stability: variational method for the determination of the outer-region matching data
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Works referencing / citing this record:

Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation
journal, November 2018

Fitzpatrick, Richard
Physics of Plasmas, Vol. 25, Issue 11
DOI: 10.1063/1.5053804

Two-Fluid Nonlinear Theory of Response of Tokamak Plasma to Resonant Magnetic Perturbation
text, January 2018

Fitzpatrick, Richard
arXiv
DOI: 10.48550/arxiv.1808.04482

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Similar Records

Title: Determination of the non-ideal response of a high temperature tokamak plasma to a static external magnetic perturbation via asymptotic matching

Abstract

Citation Formats

Computation of three-dimensional tokamak and spherical torus equilibria journal, May 2007

Nonlinear error-field penetration in low density ohmically heated tokamak plasmas journal, August 2012

Control of Asymmetric Magnetic Perturbations in Tokamaks journal, November 2007

Stability of coupled tearing modes in tokamaks journal, October 1993

Field error instabilities in JET journal, January 1994

Tearing modes in toroidal geometry journal, January 1988

Linear Stability of Resistive MHD Modes: Axisymmetric Toroidal Computation of the Outer Region Matching Data journal, December 1994

A necessary condition for hydromagnetic stability of plasma with axial symmetry journal, September 1960

Phase locking of multi-helicity neoclassical tearing modes in tokamak plasmas journal, April 2015

Effect of resonant magnetic perturbations on COMPASS-C tokamak discharges journal, December 1992

Resonant magnetohydrodynamic modes with toroidal coupling. Part II: Ballooning‐twisting modes journal, July 1991

Stability of coupled tearing and twisting modes in tokamaks journal, October 1994

Bifurcated states of a rotating tokamak plasma in the presence of a static error-field journal, September 1998

Cross-machine comparison of resonant field amplification and resistive wall mode stabilization by plasma rotation journal, May 2006

The CHEASE code for toroidal MHD equilibria journal, September 1996

Experimental studies of stability and beta limit in JET journal, November 2008

Locked modes in DIII-D and a method for prevention of the low density mode journal, May 1991

Computation of resistive instabilities by matched asymptotic expansions journal, November 2016

Numerical solution of the resistive magnetohydrodynamic boundary layer equations journal, January 1984

Coupled tearing modes in plasmas with differential rotation journal, December 1993

Error field correction in ITER journal, February 2008

Resistive instabilities in general toroidal plasma configurations journal, January 1975

The Joint European Torus: installation, first results and prospects journal, September 1985

A mechanism for tearing onset near ideal stability boundaries journal, May 2003

Error field mode studies on JET, COMPASS-D and DIII-D, and implications for ITER journal, November 1999

Role of plasma response in displacements of the tokamak edge due to applied non-axisymmetric fields journal, June 2013

Chapter 2: Plasma confinement and transport journal, December 1999

Error field experiments in JET journal, April 2000

Nonaxisymmetric field effects on Alcator C-Mod journal, May 2005

The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma journal, July 2016

Strong toroidal effects on tokamak tearing mode stability in the hybrid and conventional scenarios journal, January 2012

Measurement of resistive wall mode stability in rotating high-β DIII-D plasmas journal, April 2005

Non-ideal stability: variational method for the determination of the outer-region matching data journal, June 1991

Finite-Resistivity Instabilities of a Sheet Pinch journal, January 1963

Global energy confinement degradation due to macroscopic phenomena in tokamaks journal, February 1990

Toroidal modeling of penetration of the resonant magnetic perturbation field journal, April 2013

Nonlinear dynamics of magnetic islands with curvature and pressure journal, January 1985

Toroidal curvature induced screening of external fields by a resistive plasma response journal, July 2012

Island bootstrap current modification of the nonlinear dynamics of the tearing mode journal, January 1986

Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation journal, November 2018

Two-Fluid Nonlinear Theory of Response of Tokamak Plasma to Resonant Magnetic Perturbation text, January 2018

Computation of three-dimensional tokamak and spherical torus equilibria
journal, May 2007

Nonlinear error-field penetration in low density ohmically heated tokamak plasmas
journal, August 2012

Control of Asymmetric Magnetic Perturbations in Tokamaks
journal, November 2007

Stability of coupled tearing modes in tokamaks
journal, October 1993

Field error instabilities in JET
journal, January 1994

Tearing modes in toroidal geometry
journal, January 1988

Linear Stability of Resistive MHD Modes: Axisymmetric Toroidal Computation of the Outer Region Matching Data
journal, December 1994

A necessary condition for hydromagnetic stability of plasma with axial symmetry
journal, September 1960

Phase locking of multi-helicity neoclassical tearing modes in tokamak plasmas
journal, April 2015

Effect of resonant magnetic perturbations on COMPASS-C tokamak discharges
journal, December 1992

Resonant magnetohydrodynamic modes with toroidal coupling. Part II: Ballooning‐twisting modes
journal, July 1991

Stability of coupled tearing and twisting modes in tokamaks
journal, October 1994

Bifurcated states of a rotating tokamak plasma in the presence of a static error-field
journal, September 1998

Cross-machine comparison of resonant field amplification and resistive wall mode stabilization by plasma rotation
journal, May 2006

The CHEASE code for toroidal MHD equilibria
journal, September 1996

Experimental studies of stability and beta limit in JET
journal, November 2008

Locked modes in DIII-D and a method for prevention of the low density mode
journal, May 1991

Computation of resistive instabilities by matched asymptotic expansions
journal, November 2016

Numerical solution of the resistive magnetohydrodynamic boundary layer equations
journal, January 1984

Coupled tearing modes in plasmas with differential rotation
journal, December 1993

Error field correction in ITER
journal, February 2008

Resistive instabilities in general toroidal plasma configurations
journal, January 1975

The Joint European Torus: installation, first results and prospects
journal, September 1985

A mechanism for tearing onset near ideal stability boundaries
journal, May 2003

Error field mode studies on JET, COMPASS-D and DIII-D, and implications for ITER
journal, November 1999

Role of plasma response in displacements of the tokamak edge due to applied non-axisymmetric fields
journal, June 2013

Chapter 2: Plasma confinement and transport
journal, December 1999

Error field experiments in JET
journal, April 2000

Nonaxisymmetric field effects on Alcator C-Mod
journal, May 2005

The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma
journal, July 2016

Strong toroidal effects on tokamak tearing mode stability in the hybrid and conventional scenarios
journal, January 2012

Measurement of resistive wall mode stability in rotating high-β DIII-D plasmas
journal, April 2005

Non-ideal stability: variational method for the determination of the outer-region matching data
journal, June 1991

Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

Global energy confinement degradation due to macroscopic phenomena in tokamaks
journal, February 1990

Toroidal modeling of penetration of the resonant magnetic perturbation field
journal, April 2013

Nonlinear dynamics of magnetic islands with curvature and pressure
journal, January 1985

Toroidal curvature induced screening of external fields by a resistive plasma response
journal, July 2012

Island bootstrap current modification of the nonlinear dynamics of the tearing mode
journal, January 1986

Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation
journal, November 2018

Two-Fluid Nonlinear Theory of Response of Tokamak Plasma to Resonant Magnetic Perturbation
text, January 2018