Transp References

last updated Apr-May 1998

TRANSP is a large comprehensive time-dependent tokamak transport data analysis code developed at PPPL.  At this time, there is no comprehensive single description of the models in TRANSP, however references for most of the basic models are listed below. 

Basic Plasma Transport Equations

(and overall approach)

R.J. Hawryluk, "An Empirical Approach to Tokamak Transport", in Physics
of Plasmas Close to Thermonuclear Conditions, ed. by B. Coppi, et al.,
(CEC, Brussels, 1980), Vol. 1, p. 19.

J. Ongena, M. Evrard, D. McCune, "Numerical Transport Codes", in the
Proceedings of the Third Carolus Magnus Summer School on Plasma Physics,
(Spa, Belgium, Sept 1997), as published in Transactions of Fusion Technology,
March, 1998, Vol. 33, No. 2T, pp. 181-191.

PPPL papers describing use of the TRANSP code

R. V. Budny, M. G. Bell, H. Biglari, et al., "Simulations of deuterium-
tritium experiments in TFTR", Nucl Fusion 32 (1992) 429.

R. V. Budny, D. Coster, D. Stotler, et. al., "Particle balance in a TFTR
supershot", J. Nuclear Mater. 196-198 (1992) 462.

R. V. Budny, "A standard DT supershot simulation", Nucl Fusion 34 (1994) 1247

P. C. Efthimion, et al., "Tritium Transport and Influx, and Helium Ash
Measurements on TFTR During DT Operations", in Plasma Physics and Controlled
Nuclear Fusion Research 1994, (Proc. 15th Int. Conf. Seville, 1994, Vol. 1,
IAEA, Vienna (1995) 289.

R. V. Budny, M. G. Bell, A. C. Janos, et al., "Simulations of alpha parameters
in a TFTR DT supershot with high fusion power", Nucl Fusion 35 (1995) 1497.

R. V. Budny, D. R. Ernst, T. S. Hahm, et al., "Local transport in Joint
European Tokmak edge-localized, high confinement mode plasmas with H, D, DT,
and T isotopes", Physics of Plas 7 (2000) 5038

Neutral Transport

S. Tamor, J. Comput. Phys. 40 (1981) 104.

This model (ANTIC) has been extended to include multiple ion and neutral
species (including Helium), interaction with fast ions, recombination,
volume neutral sources from beam deposition, and to use updated cross-
sections.

MHD Equilibrium (several alternative models available):

Shifted-Circles Shafranov...

V.D. Shafranov, "Plasma Equilibrium in a Magnetic Field", in Reviews of
Plasma Physics (Consultants Bureau, New York, 1966) Vol. 2, p. 103

VMEC (>2 moments updown symmetric, VMEC6 for updown asymmetry)

S.P. Hirshman, U. Schwena, J. Nuhrenberg, J. Comp. Phys. 87 (1990) 396.

JSOLVER (general geometry)

DeLucia, J., Jardin, S. C., Todd, A. M. M., J. Comput. Phys. 37 183
(1980)

ESC (general geometry)

Zakharov, LE, Pletzer, A, 'Theory of Perturbed Equilibria for Solving
the Grad-Shafranov Equation', Phys Plasmas 6 (1999) 4693

Neoclassical Model:

NCLASS

W.A. Houlberg et al., "Bootstrap Current and Neoclassical
Transport in Tokamaks of Arbitrary Collisionality and Aspect
Ratio", Phys. Plasmas 4 (9), Sept. 1997, pp 3230-3242.

Poloidal Field Evolution.

M.C. Zarnstorff, et al., "Parallel Electrical Resistivity in the
TFTR Tokamak", Phys. Fluids B 2 (1990) 1857.

M.C. Zarnstorff, et al., "Bootstrap Current in TFTR", PRL Vol. 60 No. 13
(1988) 1306.

F.L. Hinton and R.D. Hazeltine, Rev. Mod. Phys. 42 (1976) 239.

Monte Carlo Beam Deposition and Slowing-Down Model.

R.J. Goldston et al., "New Techniques for Calculating Heat and
Particle Source Rates due to Neutral Beam Injection in Axisymmetric
Tokamaks", J. Comp. Phys. 43 (1981) 61.

A. Pankin, D. McCune, R. Andre et al., "The Tokamak Monte Carlo Fast
Ion Module NUBEAM in the National Transport Code Collaboration Library",
Computer Physics Communications Vol. 159, No. 3 (2004) 157-184.                                    <<<   NEW

Bounce-Averaged Fokker-Planck Beam/ICRF Model.

G.W. Hammett, "Fast Ion Studies of Ion Cyclotron Heating in the PLT
Tokamak", Ph.D. Thesis (Princeton, 1986).

ICRF Full Wave Solvers

TORIC: M. Brambilla, Plasma Phys. Cont. Fusion 41, 1 (1999).

SPRUCE: Michel Evrard, Jef Ongena, and D. Van Eester "Improved dielectric
tensor in the ICRF module of TRANSP", in AIP Conference Proceedings 355,
Radio-Frequency Power in Plasmas, 11th topical conference, Palm Springs
(1995) p.235

D.N. Smithe, et al., "An Algorithm for the Calculation of Three-
dimensional ICRF Fields in Tokamak Geometry", Nucl. Fusion 27 (1987) 1319.

FPPMOD (Fokker-Planck solver coupled to full wave solvers):
Hammett, G.W., "Fast Ion Studies of Ion Cyclotron Heating in the
PLT Tokamak", PhD thesis, Princeton University 1986.

Angular Momentum Balance.

R.J. Goldston, in Basic Physical Processes of Toroidal Fusion
Plasmas (Proc. Course and Workshop Varenna, 1985) EUR-10418-EN,
(CEC, Brussels, 1986) Vol. 1, p. 165.

Optional Sawtooth Reconnection.

B.B. Kadomtsev, Sov. J. Plasma Phys. 1 (1975) 389.

Pellet Deposition (for comparison).

S.L. Milora, ORNL/TM-8616 (1983).
W.A. Houlberg, M.A. Iskra, H.C. Howe, S.E. Attenberger, ORNL/TM-6549 (1979).

Cross-sections (atomic physics)

C.F. Barnett, H.T. Hunter, M.I. Kirkpatrick, I. Alvarez, C. Cisneros,
R.A. Phaneuf, Atomic Data for Fusion, Vol. 1, Collisions of H, He, and Li
Atoms and Ions with Atoms and Molecules, ORNL-6086/V1 (July 1990).

R.A. Phaneuf, R.K. Janev, M.S. Pindzola, Atomic Data for Fusion, Vol. 5,
Collisions of Carbon and Oxygen Ions with Electrons, H, H2, and He,
ORNL-6090/V5 (5th volume of ORNL-6086) (Feb. 1987).

R.K. Janev, W.D. Langer, K. Evans Jr., D.E. Post, Jr., Elementary Processes
in Hydrogen-Helium Plasmas, Springer-Verlag, 1987

excited states correction for energetic beam neutral deposition:

R.K. Janev, C.D. Boley, D.E. Post, Nucl. Fusion Vol. 29, No. 12,
pp. 2125-2140 (1989)

Cross-sections (nuclear fusion)

H-S. Bosch, Review of Data and Formulas for Fusion Cross-sections,
IPP I/252 (Sept 1990).

Various other portions of TRANSP have been discussed in posters at the APS-DPP meeting (e.g. the handling of the compression terms due to variation of the magnetic geometry in time).  Copies of these posters are available from Douglas McCune at PPPL (phone 609-243-2731).