A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time

Glasser, Alexander S.; Kolemen, Egemen

doi:10.1063/1.5029477

Title: A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time

Authors:

Glasser, Alexander S. ^[1]; Kolemen, Egemen ^[2]

Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08540, USA
Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA

Publication Date:: Wed Aug 01 00:00:00 EDT 2018

Sponsoring Org.:: USDOE

OSTI Identifier:: 1462456

Grant/Contract Number:: AC02-09CH11466; Early Career Research Program: DE-SC0015878

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 25 Journal Issue: 8; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Glasser, Alexander S., and Kolemen, Egemen. A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time.  United States: N. p., 2018. 
Web.  doi:10.1063/1.5029477.

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                    Glasser, Alexander S., & Kolemen, Egemen. A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time.  United States.  https://doi.org/10.1063/1.5029477

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                    Glasser, Alexander S., and Kolemen, Egemen. Wed .  
"A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time".  United States.  https://doi.org/10.1063/1.5029477.

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@article{osti_1462456,

  title        = {A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time},

  author       = {Glasser, Alexander S. and Kolemen, Egemen},

  abstractNote = {},

  doi          = {10.1063/1.5029477},

  journal      = {Physics of Plasmas},

  number       = 8,

  volume       = 25,

  place        = {United States},

  year         = {Wed Aug 01 00:00:00 EDT 2018},

  month        = {Wed Aug 01 00:00:00 EDT 2018}

}

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Works referenced in this record:

The Mathematical Theory of Finite Element Methods
book, January 2008

Brenner, Susanne C.; Scott, L. Ridgway
Texts in Applied Mathematics
DOI: 10.1007/978-0-387-75934-0

Reconstruction of current profile parameters and plasma shapes in tokamaks
journal, November 1985

Lao, L. L.; St. John, H.; Stambaugh, R. D.
Nuclear Fusion, Vol. 25, Issue 11
DOI: 10.1088/0029-5515/25/11/007

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

Pletzer, A.; Bondeson, A.; Dewar, R. L.
Journal of Computational Physics, Vol. 115, Issue 2
DOI: 10.1006/jcph.1994.1215

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

Mercier, Claude
Nuclear Fusion, Vol. 1, Issue 1
DOI: 10.1088/0029-5515/1/1/004

Galerkin method for differential equations with regular singular points
journal, October 1986

Miller, A. D.; Dewar, R. L.
Journal of Computational Physics, Vol. 66, Issue 2
DOI: 10.1016/0021-9991(86)90071-9

Introduction to Plasma Physics
book, January 1995

Goldston, Robert J.; Rutherford, Paul H.
DOI: 10.1887/075030183X

A Riccati solution for the ideal MHD plasma response with applications to real-time stability control
journal, March 2018

Glasser, Alexander S.; Kolemen, Egemen; Glasser, A. H.
Physics of Plasmas, Vol. 25, Issue 3
DOI: 10.1063/1.5007042

Tearing mode analysis in tokamaks, revisited
journal, December 1998

Nishimura, Y.; Callen, J. D.; Hegna, C. C.
Physics of Plasmas, Vol. 5, Issue 12
DOI: 10.1063/1.873166

Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
journal, January 1955

Turrittin, H. L.
Acta Mathematica, Vol. 93, Issue 0
DOI: 10.1007/BF02392519

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

Glasser, A. H.; Wang, Z. R.; Park, J. -K.
Physics of Plasmas, Vol. 23, Issue 11
DOI: 10.1063/1.4967862

Impact of the current profile evolution on tearing stability of ITER demonstration discharges in DIII-D
journal, August 2010

Turco, F.; Luce, T. C.
Nuclear Fusion, Vol. 50, Issue 9
DOI: 10.1088/0029-5515/50/9/095010

Resistive toroidal stability of internal kink modes in circular and shaped tokamaks
journal, March 1992

Bondeson, A.; Vlad, G.; Lütjens, H.
Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
DOI: 10.1063/1.860041

Calculation of the vacuum Green’s function valid even for high toroidal mode numbers in tokamaks
journal, January 2007

Chance, M. S.; Turnbull, A. D.; Snyder, P. B.
Journal of Computational Physics, Vol. 221, Issue 1
DOI: 10.1016/j.jcp.2006.06.025

On the requirements to control neoclassical tearing modes in burning plasmas
journal, January 2010

Sauter, O.; Henderson, M. A.; Ramponi, G.
Plasma Physics and Controlled Fusion, Vol. 52, Issue 2
DOI: 10.1088/0741-3335/52/2/025002

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

Glasser, A. H.; Jardin, S. C.; Tesauro, G.
Physics of Fluids, Vol. 27, Issue 5
DOI: 10.1063/1.864730

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

Dewar, R. L.; Persson, M.
Physics of Fluids B: Plasma Physics, Vol. 5, Issue 12
DOI: 10.1063/1.860595

Numerical simulations of sawteeth in tokamaks
journal, July 1989

Vlad, G.; Bondeson, A.
Nuclear Fusion, Vol. 29, Issue 7
DOI: 10.1088/0029-5515/29/7/006

Resistive instabilities in general toroidal plasma configurations
journal, January 1975

Glasser, A. H.; Greene, J. M.; Johnson, J. L.
Physics of Fluids, Vol. 18, Issue 7
DOI: 10.1063/1.861224

Vacuum calculations in azimuthally symmetric geometry
journal, June 1997

Chance, M. S.
Physics of Plasmas, Vol. 4, Issue 6
DOI: 10.1063/1.872380

Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
journal, January 1983

Grimm, R. C.; Dewar, R. L.; Manickam, J.
Journal of Computational Physics, Vol. 49, Issue 1
DOI: 10.1016/0021-9991(83)90116-X

Hydromagnetic stability of a diffuse linear pinch
journal, June 1960

Newcomb, William A.
Annals of Physics, Vol. 10, Issue 2
DOI: 10.1016/0003-4916(60)90023-3

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

Glasser, A. H.
Physics of Plasmas, Vol. 23, Issue 7
DOI: 10.1063/1.4958328

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

Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
Physics of Fluids, Vol. 6, Issue 4
DOI: 10.1063/1.1706761

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

Pletzer, A.; Dewar, R. L.
Journal of Plasma Physics, Vol. 45, Issue 3
DOI: 10.1017/S0022377800015828

Tearing mode in the cylindrical tokamak
journal, January 1973

Furth, H. P.
Physics of Fluids, Vol. 16, Issue 7
DOI: 10.1063/1.1694467

Two-dimensional generalizations of the Newcomb equation
journal, April 1990

Dewar, R. L.; Pletzer, A.
Journal of Plasma Physics, Vol. 43, Issue 2
DOI: 10.1017/S002237780001480X

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Title: A robust solution for the resistive MHD toroidal Δ′ matrix in near real-time

Citation Formats

The Mathematical Theory of Finite Element Methods book, January 2008

Reconstruction of current profile parameters and plasma shapes in tokamaks journal, November 1985

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

Galerkin method for differential equations with regular singular points journal, October 1986

Introduction to Plasma Physics book, January 1995

A Riccati solution for the ideal MHD plasma response with applications to real-time stability control journal, March 2018

Tearing mode analysis in tokamaks, revisited journal, December 1998

Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point journal, January 1955

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

Impact of the current profile evolution on tearing stability of ITER demonstration discharges in DIII-D journal, August 2010

Resistive toroidal stability of internal kink modes in circular and shaped tokamaks journal, March 1992

Calculation of the vacuum Green’s function valid even for high toroidal mode numbers in tokamaks journal, January 2007

On the requirements to control neoclassical tearing modes in burning plasmas journal, January 2010

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

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

Numerical simulations of sawteeth in tokamaks journal, July 1989

Resistive instabilities in general toroidal plasma configurations journal, January 1975

Vacuum calculations in azimuthally symmetric geometry journal, June 1997

Ideal MHD stability calculations in axisymmetric toroidal coordinate systems journal, January 1983

Hydromagnetic stability of a diffuse linear pinch journal, June 1960

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

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

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

Tearing mode in the cylindrical tokamak journal, January 1973

Two-dimensional generalizations of the Newcomb equation journal, April 1990

The Mathematical Theory of Finite Element Methods
book, January 2008

Reconstruction of current profile parameters and plasma shapes in tokamaks
journal, November 1985

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

Galerkin method for differential equations with regular singular points
journal, October 1986

Introduction to Plasma Physics
book, January 1995

A Riccati solution for the ideal MHD plasma response with applications to real-time stability control
journal, March 2018

Tearing mode analysis in tokamaks, revisited
journal, December 1998

Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
journal, January 1955

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

Impact of the current profile evolution on tearing stability of ITER demonstration discharges in DIII-D
journal, August 2010

Resistive toroidal stability of internal kink modes in circular and shaped tokamaks
journal, March 1992

Calculation of the vacuum Green’s function valid even for high toroidal mode numbers in tokamaks
journal, January 2007

On the requirements to control neoclassical tearing modes in burning plasmas
journal, January 2010

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

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

Numerical simulations of sawteeth in tokamaks
journal, July 1989

Resistive instabilities in general toroidal plasma configurations
journal, January 1975

Vacuum calculations in azimuthally symmetric geometry
journal, June 1997

Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
journal, January 1983

Hydromagnetic stability of a diffuse linear pinch
journal, June 1960

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

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

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

Tearing mode in the cylindrical tokamak
journal, January 1973

Two-dimensional generalizations of the Newcomb equation
journal, April 1990