SPEC description

SPEC is a Stepped, Pressure Equilibrium Code. This code constructs MHD equilibria by combining elements of ideal MHD and Taylor relaxation theory in a manner that is consistent with the structure of chaotic magnetic fields.

Please direct questions/suggestions to Stuart Hudson, shudson@pppl.gov, subject=spec.

Contents

  1. Publications
  2. Invited Talks / Seminars / Conference Presentations
  3. Description of subroutines, input and output.

Publications

  1. Hign-n stability of a pressure discontinuity in three-dimensional plasma
    D. Barmaz
    Master's Thesis, 2011  
  2. Hamilton-Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity
    M. McGann, S.R.Hudson, R.L. Dewar and G. von Nessi
    Physics Letters A, 374(33):3308, 2010  
  3. Relaxed MHD states of a multiple region plasma
    M.J.Hole, R.Mills, S.R.Hudson and R.L.Dewar
    Nuclear Fusion, 49:065019, 2009  
  4. Magnetohydrodynamic stability of plasmas with ideal and relaxed regions.
    R.L. Mills, M.J. Hole, and R.L. Dewar
    J. Plasma Physics, 75(5):637, 2009  
  5. Relaxed plasma equilibria and entropy-related plasma self-organization principles
    R.L.Dewar, M.J.Hole, M.McGann, R.Mills and S.R.Hudson,
    Entropy, 10:621, 2008  
  6. Equilibria and stability in partially relaxed plasma-vacuum systems
    M.J. Hole, S.R.Hudson and R.L. Dewar
    Nuclear Fusion, 47(8):746, 2007  
  7. Eigenvalue problems for Beltrami fields arising in a 3-D toroidal MHD equilibrium problem
    S.R.Hudson, M.J. Hole and R.L.Dewar
    Physics of Plasmas, 14:052505, 2007  
  8. Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation
    M.J.Hole, S.R.Hudson and R.L.Dewar
    Journal of Plasma Physics, 72(6), 1167, 2006  

Invited Talks / Seminars / Conference Presentations

  1. 2011, 27 Jun - 1 Jul : 38th EPS Conference on Plasma Physics, Strasbourg, France.
    invited talk : Partially-relaxed, partially-constrained MHD equilibria.    [(abstract)]
    S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann.
  2. 2011, 2 May - 4 May : 2001 International Sherwood Fusion Theory Conference, Austin, Texas, USA.
    ??? : Computation of non-axisymmetric equilibria using a partially-relaxed, partially-constrained MHD equilibrium model.    [(abstract)]
    S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann.
  3. 2011, 11 Apr - 14 Apr : 5th International Workshop on Stochasticity in Fusion Plasmas, Julich, Germany.
    selected extended oral : Partially-relaxed, topologically-constrained MHD equilibria with chaotic fields.    [(abstract)]
    S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann.
  4. 2010, 7 Dec - 10 Dec : 20th International Toki Conference (ITC20), Ceratopia, Toki-city, Gifu, Japan.
    invited oral contribution : Multi-volume, partially-relaxed MHD equilibria.    [(abstract),(slides)],(slides)]
    S.R. Hudson, R.L. Dewar, M.J. Hole, M. McGann.
  5. 2009, 12 Oct - 15 Oct : European Fusion Theory Conference, Riga, Latvia.
    talk : Equilibrium code consistent with field line chaos; Critical behaviour in toroidal plasma confinement.    [(abstract)][(slides)]
    M. McGann, R.L. Dewar & S.R. Hudson
  6. 2009, 21 Sep - 25 Sep : European Conference on Complex Systems, Warwick, UK.
    talk : Critical behaviour in toroidal plasma confinement by 3-D magnetic fields.    [(slides)]
    M. McGann, R.L. Dewar & S.R. Hudson
  7. 2008, 12 Oct - 18 Oct : 22nd IAEA Fusion Energy Conference, Geneva, Switzerland.
    paper : Relaxed MHD states of a multiple region plasma.    [(paper)]
    M.J.Hole, R.L.Dewar, S.R. Hudson, M. McGann and R.Mills.
  8. 2008, 24 Aug - 30 Aug : XXII International Congress of Theoretical and Applied Mechanics, Adelaide, Australia.
    paper : Equilibrium and stability in relaxed magnetohydrodynamics of toroidal plasmas.    [(paper)]
    R.L. Dewar, M. Hole, M. McGann, R. Mills and S.R. Hudson.
  9. 2008, 3 Feb - 7 Feb : ANZIAM, Australia and New Zealand Industrial and Applied Mathematics .
    poster : A novel variational principle for three-dimensional plasma equilibria.    [(abstract)]
    R.L. Dewar, S.R. Hudson, M. Hole and M.McGann.
  10. 2008, 3 Feb - 6 Feb : Gaseous Electronics Meeting XV, Murramarang, Australia.
    poster : A stepped Beltrami field model for internal transport barriers.    [(paper)]
    M.J. Hole, S.R. Hudson and R.L. Dewar.
  11. 2007, 11 Dec - 13 Dec : 8th Asia Pacific Plasma Theory Conference, Gujarat, India.
    talk : A stepped pressure profile model for internal transport barriers.    [(slides)]
    M.J.Hole, S.R. Hudson, R.L.Dewar, M.McGann and R.Mills.
  12. 2007, 12 Nov - 16 Nov : 49th Annual Meeting of the Division of Plasma Physics, Orlando, Florida.
    talk : A stepped pressure profile model for internal transport barriers.    [(paper)]
    M.J.Hole, S.R. Hudson and R.L.Dewar.
  13. 2007, 24 Sep - 27 Sep : 12th European Fusion Theory Conference, Madrid, Spain.
    paper : Multiple Nested Beltrami regions as a Solution to the 3-D Toroidal MHD Equilibrium Problem.    [(paper)]
    R. Dewar, M. Hole, S.R. Hudson and M. McGann.
  14. 2007, 17 Sep - 21 Sep : Nonlinear dynamics and chaos : advances and perspectives, Aberdeen, Scotland.
    invited talk : The MHD equilibrium problem in nonaxisymmetric toroidal plasma confinement systems.    [(slides)]
    R.L. Dewar, M.J. Hole, M. McGann and S.R. Hudson.
  15. 2007, 2 Jul - 5 Jul : 8th Asia-Pacific Complex Systems, Gold Coast, Australia.
    invited talk : Variational principle for relaxed states of a plasma confined by a nonintegrable magnetic field.    [(paper)]
    R. Dewar, M. Hole, S.R. Hudson and M. McGann.
  16. 2006, 16 Oct - 21 Oct : 21st IAEA Fusion Energy Conference, Chengdu, China.
    poster : Equilibria and Stability in Partially Relaxed Plasma-Vacuum Systems.    [paper (pdf), poster (pdf)]
    M. Hole, S.Hudson and R.L.Dewar.
  17. 2006, 22 Apr - 25 Apr : APS April Meeting
    invited talk : P16.00002 : Piecewise-Beltrami MHD equilibria.    [abstract (pdf) ; slides (ppt)]
    R. Dewar, M.J. Hole and S.Hudson
  18. 2005, 12 Jul - 15 Jul : 19th International Conference on Numerical Simulation of Plasmas and 7th Asia Pacific Plasma Theory Conference.
    invited talk : Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation    [abstract (pdf)]
    Matthew Hole, Stuart Hudson and Robert Dewar.

Description of numerical subroutines

The input namelists, physical profiles and geometry representation are described in globals.