Role of zonal flows in trapped electron mode turbulence through nonlinear gyrokinetic particle and continuum simulation
Phys. Plasmas 16, 055906 (2009); doi:10.1063/1.3116282
Published 15 May 2009
You are not logged in to this journal. Log in
Trapped electron mode (TEM) turbulence exhibits a rich variety of collisional and zonal flow physics. This work explores the parametric variation of zonal flows and underlying mechanisms through a series of linear and nonlinear gyrokinetic simulations, using both particle-in-cell and continuum methods. A new stability diagram for electron modes is presented, identifying a critical boundary at
e=1, separating long and short wavelength TEMs. A novel parity test is used to separate TEMs from electron temperature gradient driven modes. A nonlinear scan of
e reveals fine scale structure for
e
1, consistent with linear expectation. For
e<1, zonal flows are the dominant saturation mechanism, and TEM transport is insensitive to
e. For
e>1, zonal flows are weak, and TEM transport falls inversely with a power law in
e. The role of zonal flows appears to be connected to linear stability properties. Particle and continuum methods are compared in detail over a range of
e=d ln Te/d ln ne values from zero to five. Linear growth rate spectra, transport fluxes, fluctuation wavelength spectra, zonal flow shearing spectra, and correlation lengths and times are in close agreement. In addition to identifying the critical parameter
e for TEM zonal flows, this paper takes a challenging step in code verification, directly comparing very different methods of simulating simultaneous kinetic electron and ion dynamics in TEM turbulence.
©2009 American Institute of Physics
e=1, separating long and short wavelength TEMs. A novel parity test is used to separate TEMs from electron temperature gradient driven modes. A nonlinear scan of
e reveals fine scale structure for
e
1, consistent with linear expectation. For
e<1, zonal flows are the dominant saturation mechanism, and TEM transport is insensitive to
e. For
e>1, zonal flows are weak, and TEM transport falls inversely with a power law in
e. The role of zonal flows appears to be connected to linear stability properties. Particle and continuum methods are compared in detail over a range of
e=d ln Te/d ln ne values from zero to five. Linear growth rate spectra, transport fluxes, fluctuation wavelength spectra, zonal flow shearing spectra, and correlation lengths and times are in close agreement. In addition to identifying the critical parameter
e for TEM zonal flows, this paper takes a challenging step in code verification, directly comparing very different methods of simulating simultaneous kinetic electron and ion dynamics in TEM turbulence.
©2009 American Institute of Physics
| History: | Received 6 January 2009; accepted 23 January 2009; published 15 May 2009 |
| Permalink: |
http://link.aip.org/link/?PHPAEN/16/055906/1 |
KEYWORDS and PACS
plasma flow,
plasma instability,
plasma kinetic theory,
plasma nonlinear processes,
plasma simulation,
plasma turbulence
- 52.25.Fi
Plasma transport properties - 52.25.Vy
Impurities in plasmas - 52.30.Gz
Gyrokinetics in plasmas - 52.35.Kt
Plasma drift waves - 52.35.Ra
Plasma turbulence - 52.50.Qt
Plasma heating by radio-frequency fields - 52.55.Dy
General theory and basic studies of plasma lifetime, particle and heat loss, energy balance, field structure, etc - 52.55.Fa
Tokamaks - 52.65.Tt
Gyrofluid and gyrokinetic plasma simulations - YEAR: 2009
RELATED DATABASES
PUBLICATION DATA
1070-664X (print)
1089-7674 (online)
REFERENCES (28)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- ITER Physics Expert Group on Confinement and Transport, ITER Physics Expert Group on Confinement Modelling and Database, ITER Physics Basis Editors, and
Nucl. Fusion 39, 2175 (1999) . - C. Angioni, L. Carraro, T. Dannert, N. Dubuit, R. Dux, C. Fuchs, X. Garbet, L. Garzotti, C. Giroud, R. Guirlet, F. Jenko, O. J. W. F. Kardaun, L. Lauro-Taroni, P. Mantica, M. Maslov, V. Naulin, R. Neu, A. G. Peeters, G. Pereverzev, M. E. Puiatti, T. Pütterich, J. Stober, M. Valovič, M. Valisa, H. Weisen, A. Zabolotsky, ASDEX Upgrade Team, JET EFDA Contributors, and Phys. Plasmas 14, 055905 (2007).
- T. L. Rhodes, W. A. Peebles, J. C. DeBoo, R. Prater, J. E. Kinsey, G. M. Staebler, J. Candy, M. E. Austin, R. V. Bravenec, K. H. Burrell, J. S. deGrassie, E. J. Doyle, P. Gohil, C. M. Greenfield, R. J. Groebner, J. Lohr, M. A. Makowski, X. V. Nguyen, C. C. Petty, W. M. Solomon, H. E. St. John, M. A. Van Zeeland, G. Wang, and L. Zeng,
Plasma Phys. Controlled Fusion 49, B183 (2007) . - I. H. Hutchinson, R. Boivin, F. Bombarda, P. Bonoli, S. Fairfax, C. Fiore, J. Goetz, S. Golovato, R. Granetz, M. Greenwald, S. Horne, A. Hubbard, J. Irby, B. LaBombard, B. Lipschultz, E. Marmar, G. McCracken, M. Porkolab, J. Rice, J. Snipes, Y. Takase, J. Terry, S. Wolfe, C. Christensen, D. Garnier, M. Graf, T. Hsu, T. Luke, M. May, A. Niemczewski, G. Tinios, J. Schachter, and J. Urbahn, Phys. Plasmas 1, 1511 (1994).
- D. R. Ernst, P. T. Bonoli, P. J. Catto, W. Dorland, C. L. Fiore, R. S. Granetz, M. Greenwald, A. E. Hubbard, M. Porkolab, M. H. Redi, J. E. Rice, K. Zhurovich, and Alcator C-Mod Group, Phys. Plasmas 11, 2637 (2004).
- D. R. Ernst, N. Basse, W. Dorland, C. L. Fiore, L. Lin, A. Long, M. Porkolab, K. Zeller, and K. Zhurovich, Proceedings of the 21st International Atomic Energy Agency Fusion Energy Conference, Chengdu, China, 2006 (International Atomic Energy Agency, Vienna, 2007), Paper No. IAEA-CN-149/TH/1-3; available at http://www-pub.iaea.org/MTCD/Meetings/FEC2006/th_1-3.pdf.
- T. Dannert and F. Jenko, Phys. Plasmas 12, 072309 (2005).
- J. Lang, Y. Chen, and S. E. Parker, Phys. Plasmas 14, 082315 (2007).
- M. Hoffman and D. R. Ernst, Bull. Am. Phys. Soc. 52, 16 (2007).
- J. Lang, Y. Chen, and S. E. Parker, Phys. Plasmas 15, 055907 (2008).
- J. Anderson, H. Nordmann, R. Singh, and J. Weiland,
Plasma Phys. Controlled Fusion 48, 651 (2006) . - P. W. Terry, R. Gatto, and D. A. Baver, Phys. Rev. Lett. 89, 205001 (2002).
- D. A. Baver, P. W. Terry, and R. A. Gatto, Phys. Plasmas 9, 3318 (2002).
- R. Gatto, P. W. Terry, and D. A. Baver, Phys. Plasmas 13, 022306 (2006).
- L. Chen, Z. Lin, and R. White, Phys. Plasmas 7, 3129 (2000).
- B. N. Rogers, W. Dorland, and M. Kotschenreuther, Phys. Rev. Lett. 85, 5336 (2000).
- P. H. Diamond, S. -I. Itoh, K. Itoh, and T. S. Hahm,
Plasma Phys. Controlled Fusion 47, R35 (2005) . - F. Merz and F. Jenko, Phys. Rev. Lett. 100, 035005 (2008).
- J. Li and Y. Kishimoto,
Plasma Phys. Controlled Fusion 44, A479 (2002) . - A. M. Dimits, G. Bateman, M. A. Beer, B. I. Cohen, W. Dorland, G. W. Hammett, C. Kim, J. E. Kinsey, M. Kotschenreuther, A. H. Kritz, L. L. Lao, J. Mandrekas, W. M. Nevins, S. E. Parker, A. J. Redd, D. E. Shumaker, R. Sydora, and J. Weiland, Phys. Plasmas 7, 969 (2000).
- W. D. Dorland, F. Jenko, M. Kotschenreuther, and B. N. Rogers, Phys. Rev. Lett. 85, 5579 (2000).
- Y. Chen and S. E. Parker,
J. Comput. Phys. 189, 463 (2003) . - B. Coppi and F. Pegoraro,
Nucl. Fusion 17, 969 (1977) . - B. Coppi and G. Rewoldt, Phys. Rev. Lett. 33, 1329 (1974).
- B. Coppi, S. Migliuolo, and Y. -K. Pu, Phys. Fluids B 2, 2322 (1990).
- J. Candy and R. E. Waltz,
J. Comput. Phys. 186, 545 (2003) . - W. M. Nevins, J. Candy, S. Cowley, T. Dannert, A. Dimits, W. Dorland, C. Estrada-Mila, G. W. Hammett, F. Jenko, M. J. Pueschel, and D. E. Shumaker, Phys. Plasmas 13, 122306 (2006).
- Y. Xiao and P. J. Catto, Phys. Plasmas 13, 102311 (2006).







