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.

All relevant publications and presentations are given below.

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

Contents

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

Publications

  1. Computation of multi-region relaxed magnetohydrodynamic equilibria
    S.R.Hudson, R.L.Dewar, G.Dennis, M.J.Hole, M.McGann, G.von Nessi and S. Lazerson
    Physics of Plasmas, 19:112502, 2012  
  2. Nonaxisymmetric, multi-region relaxed magnetohydrodynamic equilibrium solutions
    S.R.Hudson, R.L. Dewar, M.J. Hole and M. McGann
    Plasma Physics and Controlled Fusion, 54:014005, 2012
  3. Hign-n stability of a pressure discontinuity in three-dimensional plasma
    D. Barmaz
    Master's Thesis, 2011
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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 and Conference Presentations

  1. 2012, 19 Nov - 22 Nov : 22nd International Toki Conference, Toki, Japan.
    oral presentaton : Advanced MHD models of anisotropy, flow and chaotic fields.    [(abstract),(slides)]
    M. J. Hole, M. Fitzgerald, G. Dennis, S. Hudson, R. L. Dewar, G. von Nessi, B. D. Blackwell
    poster : Theory and numerics of the Stepped Pressure Equilibrium Code.    [(abstract),(poster)]]
    S.R. Hudson, R.L. Dewar, G. Dennis, M.J. Hole, S.A. Lazerson
  2. 2012, 4 Sep : ITER
    seminar : Partially-relaxed, partially-constrained MHD equilibria.    [(slides)]
    M.J. Hole, et al.
  3. 2012, 29 Jan - 3 Feb : 18th International Stellarator/Heliotron Workshop & 10th Asia Pacific Plasma Theory Conference, Australian National University.
    invited talk : Nonlinearly perturbed MHD equilibria, with or without magnetic islands.    [(abstract),(slides),(pdf)]
    S.R. Hudson, R. L. Dewar, M.J. Hole, M. McGann & G. Dennis
    poster : Multi-region Taylor relaxed states in a reversed field pinch.    [(poster)]
    G. Dennis et al
    poster : Inverse problem for an equilibrium current sheet    [(poster)]
    R.L. Dewar
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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
  9. 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
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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
  21. 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 routines

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