Princeton Plasma Physics Laboratory
P.O. Box 451
Princeton, NJ 08543-0451
E-mail: mbeer@pppl.gov
Phone: +1 609 243 2677
FAX: +1 609 243 2662
My personal home page at Princeton University.
The following is a picture of a computer simulation of plasma turbulence in a tokamak, courtesy G. Kerbel of the Numerical Tokamak Project:
For more detailed technical information on simulations of plasma turbulence, please see the papers listed below. References 7 and 8 derive the equations solved in the simulations, reference 10 describes the coordinate system used in the simulations, and reference 9 is a complete description.
The abstracts below are in html. For the full papers, click PS to view postscript, PDF for PDF format.
Papers on Plasma Turbulence Simulations:
1. Equilibrium ExB Flows in Nonlinear
Gyrofluid Flux-Tube Simulations,
M. A. Beer and G. W. Hammett,
International Sherwood Fusion Theory Meeting, March 27-29, (2000).
PS
2. Turbulence Suppression by ExB Shear
in JET Optimized Shear Pulses,
M. A. Beer, R. V. Budny, C. D. Challis, G. Conway,
C. Gormezano,
G. Rewoldt, A. C. C. Sips, F. X. Soldner, B. J. D. Tubbing,
and M. Von Hellerman,
EPS meeting, (1999).
PDF
3. Turbulence-Driven Zonal Flow Dynamics in Gyrofluid Simulations,
M. A. Beer and G. W. Hammett,
APS DPP meeting, (1998).
Abstract PS
PDF
4. The Dynamics of Small-Scale Turbulence Driven Flows,
M. A. Beer and G. W. Hammett,
Theory of Fusion Plasmas Workshop, Varenna, (1998).
Abstract PS
PDF
5. The Dynamics of Small-Scale Turbulence Driven Flows,
M. A. Beer and G. W. Hammett,
APS DPP meeting, (1997).
Abstract PS
PDF
6. Gyrofluid Simulations of Turbulence
Suppression in Reversed-Shear Experiments on the Tokamak
Fusion Test Reactor,
M. A. Beer, G. W. Hammett, G. Rewoldt, E. J. Synakowski,
M. C. Zarnstorff, and W. Dorland, APS invited paper,
Phys. Plasmas, Vol. 4, No. 5, May 1997, pages 1792-1799.
Abstract PS
PDF
7. Bounce Averaged Trapped Electron Fluid Equations for Plasma
Turbulence,
M. A. Beer and G. W. Hammett,
Phys. Plasmas, Vol. 3, No. 11, November 1996, pages 4018-4022.
Abstract PS
8. Toroidal Gyrofluid Equations for Simulations of Tokamak Turbulence,
M. A. Beer and G. W. Hammett,
Phys. Plasmas, Vol. 3, No. 11, November 1996, pages 4046-4064.
Abstract PS
9. Gyrofluid Models of
Turbulent Transport in Tokamaks,
M. A. Beer, Ph. D. Thesis, Princeton University (1995).
10. Field-aligned Coordinates for Nonlinear
Simulations of Tokamak Turbulence,
M. A. Beer, S. C. Cowley, and G. W. Hammett, Phys. Plasmas, Vol. 2,
No. 7, July 1995, pages 2687-2700. Abstract PS
11. Advances in Simulating Tokamak
Turbulent Transport,
G. W. Hammett, M. A. Beer, J. C. Cummings, et al.,
1994 IAEA Conference, Seville, Spain. PS
12. Developments in the Gyrofluid Approach to Tokamak Turbulence Simulations,
G. W. Hammett, M. A. Beer, W. Dorland, S. C. Cowley, and S. A. Smith, Plasma Phys. Control. Fusion, Vol. 35, 1993, pages 973-985.
13. The Gyrofluid Approach to Simulating Tokamak Turbulence,
G. W. Hammett, W. Dorland, M. A. Beer, and F. W. Perkins,
in New Ideas in Tokamak Confinement, M. N. Rosenbluth, Ed., American Institute
of Physics, 1993, pages 199-216.
14. Nonlinear Gyrofluid Model of ITG Turbulence, W. Dorland, G. W. Hammett, T. S. Hahm, and M. A. Beer, in Ion Temperature Gradient Driven Turbulent Transport, W. Horton, M. Wakatani, and A. Wootton, Eds., American Institute of Physics, 1993.
Papers on Comparisons with Experiments and other topics:
15. Sheared Rotation Effects on Kinetic Stability in Enhanced
Confinement Tokamak Plasmas, and Nonlinear
Dynamics of Fluctuations and Flows in Axisymmetric Plasmas,
G. Rewoldt, M. A. Beer, M. S. Chance, T. S. Hahm,
Z. Lin, and W. M. Tang, Phys. Plasmas 5, 1815 (1998).
16. The Roles of Electric Field Shear and Shafranov Shift in
Sustaining High Confinement in Enhanced Reversed Shear Plasmas on the
TFTR Tokamak, E. J. Synakowski, S. H. Batha,
M. A. Beer, M. G. Bell, R. E. Bell, R. V. Budny,
C. E. Bush, P. C. Efthimion, G. W. Hammett, T. S. Hahm, B. LeBlanc,
F. Levinton, E. Mazzucato, H. Park, A. T. Ramsey, G. Rewoldt,
S. D. Scott, G. Schmidt, W. M. Tang, G. Taylor, and M. C. Zarnstorff,
Phys. Rev. Lett. 78, 2972 (1997).
17. Turbulent Fluctuations in TFTR Configurations with Reversed
Magnetic Shear, E. Mazzucato, S. H. Batha, M. Beer,
et al.,
Phys. Rev. Lett., Vol. 77, No. 15, October 1996, p. 3145.
PS PDF
18. Quantitative Predictions of Tokamak Energy
Confinement from First-Principles Simulations with Kinetic Effects,
M. Kotschenreuther, W. Dorland, M. A. Beer, and
G. W. Hammett, Phys. Plasmas, Vol. 2, No. 6, June 1995, pages 2381-2389.
PS
19. Comparison of Nonlinear Toroidal Turbulence
Simulations with Experiment,
W. Dorland, M. Kotschenreuther, M. A. Beer, et al.,
1994 IAEA Conference, Seville, Spain. PS
20. Atomic Physics Effects on Dissipative Toroidal
Drift Wave Stability,
M. A. Beer and T. S. Hahm, Phys. Fluids B, Vol. 4,
No. 8, August 1992, pages 2567-2576. PS
21. Comparisons of Gyrofluid and Gryokinetic
Simulations, S. E. Parker, W. Dorland, R. A. Santoro,
M. A. Beer, Q. P. Liu, W. W. Lee, and G. W. Hammett, Phys. Plasmas, Vol. 1, No. 5, May 1994, pages 1461-1468.
22. Review of deuterium-tritium results from the Tokamak Fusion Test Reactor,
K. M. McGuire and many others, including M. A. Beer, Phys. Plasmas,
Vol. 2, No. 6, June 1995, pages 2176-2188. PS
23. Preparations for deuterium-tritium experiments on the
Tokamak Fusion Test Reactor,
R. J. Hawryluk and many others, including M. A. Beer, Phys. Plasmas,
Vol. 1, No. 5, May 1994, page 1560.
24. Overview of DT results from TFTR,
M. G. Bell and many others, including M. A. Beer, Nucl.
Fusion, Vol. 35, No. 12, December 1995, page 1429.
25. Recent D-T Results on TFTR,
D. W. Johnson and many others, including M. A. Beer, Plasma
Phys. Control. Fusion,
Vol. 37, 1995, page A69.
26. Profile characterstics of H-mode bifurcation models,
and turbulence simulations with gyro-Landau fluid models in
slab and toroidal geometry, G. M. Staebler, R. E. Waltz,
M. A. Beer, et al.,
in Plasma Physics and Controlled Nuclear Fusion Research, 1993, IAEA,
Vienna.