Abstract
Shear flow stabilization of edge turbulence leads to self-organized high (H) confinement modes in tokamak plasmas. Thus understanding the mechanisms for generation of shear/zonal flow and fields in finite β plasmas is an important area of research. A brief review of various mechanisms for shear flow generation and discussion of our recent theory which yields a criterion for bifurcation from low to high (L-H) confinement mode is presented. The predicted threshold based on this parameter shows good agreement with edge measurements on discharges undergoing L-H transitions in DIII-D with ▽B both towards and away from the X-point, as well as for pellet induced H-modes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boedo, J. A., M. J. Schaffer, R. Maingi, and C. J. Lasnier, Electric field-induced plasma convection in tokamak divertors, Phys. Plasmas, 7, 1075, 2000.
Burrell, K. H., and DIII-D Team, Physics of the L-mode to H-mode transition in tokamaks, Plasma Phys. Controlled Fusion 34, 1859, 1992.
Carlstrom, T. N., G. L. Campbell, J. C. DeBoo et al., Design and operation of the multipulse Thomson scattering diagnostic on DIII-D, Rev. Sci. Instrum., 63, 4901, 1992.
Carlstrom, T. N., K. H. Burrell, R. J. Groebner, A. W. Leonard, T. H. Osborne, and D. M. Thomas, Comparison of L-H transition measurements with physics models, Nucl. Fusion, 39, 1941, 1999.
Carlstrom, T. N., J. A. Boedo, and K. H. Burrell, et al., Edge Er structure and the ▽B effect on the L-H transition, 2000 Proc. 27th Eur. Phys. Soc. Conf. on Controlled Fusion and Plasma Physics (Budapest, Hungary), vol. 24B (Budapest: European Physical Society), p. 756, (2000).
Chen, Liu, Zhihong Lin, and Roscoe White, Excitation of zonal flow by drift waves in toroidal plasmas, Phys. Plasmas, 7, 3129, 2000.
Connor, J. W., R. J. Hastie, H. R. Wilson, and R. L. Miller, Magnetohydrodynamic stability of tokamak edge plasmas, Phys. Plasmas, 5, 2687, 1998.
Connor, J. W., and H. R. Wilson, A review of theories of the L-H transition, Plasma Phys. Controlled Fusion, 42, R1, 2000.
Connor, J. W., and O. P. Pogutse, Influence of an X-point on the L-H transition power threshold, Phys. Plasmas Controlled Fusion, 43, 281, 2001.
Deranian, R. D., R. G. Groebner, and D. T. Pham, Use of a pattern recognition algorithm to obtain a parametrization of low-mode and high-mode plasma states, Phys. Plasmas, 9, 2667, 2002.
Drake, J., J. Finn, P. Guzdar, V. Shapiro, V. Shevchenko, F. Waelbroeck, A. Hassam, C. S. Liu, and R. Sagdeev, Peeling of convection cells and the generation of sheared flow, Phys. Fluids B, 4, 488, 1992.
Finn, J. M., J. F. Drake, and P. N. Guzdar, Instability of fluid vortices and generation of sheared flow, Phys. Fluids B, 4, 2758, 1992.
Gohil, P., R. Baylor, T. C. Jernigan, K. H. Burrell, and T. N. Carlstrom, Investigations of H-mode plasmas triggered directly by pellet injection in the DIII-D tokamak, Phys. Rev. Lett., 86, 644, 2001.
Groebner, R. J., An emerging understanding of H-mode discharges in tokamaks, Phys. Fluids B, 5, 2343, 1993.
Groebner, R. J., D. M. Thomas, and R. D. Deranian, Evidence for edge gradients as control parameters of the spontaneous high-mode transition, Phys. Plasmas, 8, 2722, 2001.
Guzdar, P. N., J. F. Drake, A. B. Hassam, D. McCarthy, and C. S. Liu, Three-dimensional fluid simulations of the nonlinear drift-resistive ballooning modes in tokamak edge plasmas, Phys. Fluids B, 5, 3712, 1993.
Guzdar, P. N., Shear-flow generation by drift/Rossby waves, Phys. Plasmas, 2, 4174, 1995.
Guzdar, P. N., R. G. Kleva, and L. Chen, Shear flow generation by drift waves revisited, Phys. Plasmas, 8, 459 2001a.
Guzdar, P. N., R. G. Kleva, A. Das, and P. K. Kaw, Zonal flow and zonal magnetic field generation by finite beta drift waves: A theory for L-H transitions in tokamaks, Phys. Rev. Lett. 86, 15001, 2001b.
Guzdar, P. N., R. G. Kleva, A. Das, and P. K. Kaw, Zonal flow and field generation by finite beta drift waves and kinetic drift-Alfven waves, Phys. Plasmas, 8, 3907, 2001c.
Guzdar, P. N., R. G. Kleva, R. J. Groebner, and P. Gohil, Comparison of a low to high confinement transition theory with experimental data from DIII-D, Phys. Rev. Lett. 89, 24001, 2002.
Guzdar, P. N., R. G. Kleva, A. Das, P. K. Kaw, R. J. Groebner, and P. Gohil, Low to high confinement transition theory of finite-beta drift-wave driven shear flow and its comparison with data from DIII-D, to appear in Phys. Plasmas, 2003.
Hassam, A. B., T. M. Antonsen, Jr., J. F. Drake, and C. S. Liu, Spontaneous poloidal spin-up of tokamaks and the transition to the H mode, Phys. Rev. Lett., 66, 309, 1991.
Hermiz, K. B., P. N. Guzdar, and J. M. Finn, Improved low-order model for shear flow driven by Rayleigh-BÈnard convection, Phys. Rev. E, 51, 325, 1995.
Howard, L. N., and R. Krishnamurti, Large-scale flow in turbulent convection: a mathematical model, J. Fluid Mech., 170, 385, 1986.
Hubbard, A. E., R. L. Boivin, J. F. Drake, M. Greenwald, Y. In, J, H, Irby, B. N. Rogers, and J. A. Snipes, Local variables affecting H-mode threshold on Alcator C-Mod, Plasma Phys. Controlled Fusion, 40, 689, 1998.
Itoh, S.-I., and K. Itoh, Model of L to H-mode transition in tokamak, Phys. Rev. Lett., 60, 2276, 1988.
Jenko, F., W. Dorland, M. Kotschenreuther and B. N. Rogers, Electron temperature gradient driven turbulence, Phys. Plasmas, 7, 1904, 2000.
Kaw, P. K., and R. Singh, Coherent nonlinear states of drift wave turbulence modulated by self consistent zonal flow, Bull. Am. Phys. Soc. 44, No1. Part II, RP01(109), 1262, 1999.
Kerner, W., Yu. Igitkhanov, G. Janeschitz, and O. Pogutse, The scaling of the edge temperature in tokamaks based on the Alfven drift-wave turbulence, Contrib. Plasma Phys., 38, 118, 1998.
Lebedev, V. B., P. H. Diamond, V. D. Shapiro, and G. I. Soloviev, Modulational interaction between drift waves and trapped ion convective cells: A paradigm for the self-consistent interaction of large-scale sheared flows with small-scale fluctuations, Phys. Plasmas, 2, 4420, 1995.
Mahajan, S. M., and Z. Yoshida, A collisionless self-organizing model for the high-confinement (H-mode) boundary layer, Phys. Plasmas, 7, 635, 2000.
Meyer, H., A. Kirk, L. C. Appel et al., The effect of magnetic configurations on H-mode in MAST, 2002 Proc. 29th Eur. Phys. Soc. Conf. on Controlled Fusion and Plasma Physics (Montreux, Switzerland), vol. 26B (ECA), P-1.056 2002.
Rogers, B., J. F. Drake, and A. Zeiler, Phase space of tokamak edge turbulence, the L-H transition, and the formation of the edge pedestal, Phys. Rev. Lett., 81, 4396, 1998.
Rogers, B. N., W. Dorland, and M. Kotschenreuther, Generation and stability of zonal flows in ion-temperature-gradient mode turbulence, Phys. Rev. Lett., 85, 5336, 2000.
Rozhansky, V., and M. Tendler, The effect of the radial electric field on the L-H transitions in tokamaks, Phys. Fluids B, 4, 1877, 1992.
Sagdeev, R. Z., V. D. Shapiro, and V. I. Shevchenko, Convective clees and anomalous plasma diffusion, Sov. J. Plasma Phys., 4, 306, 1979.
Shaing, K. C., and E. C. Crume, Bifurcation theory of poloidal rotation in tokamaks: A model for L-H transition, Phys. Rev. Lett., 63, 2369, 1989.
Shapiro, V. D., P. H. Diamond, V. B. Lebedev, G. I. Soloviev, and V. I. Shevchenko, Generation of dipolar structures in drift wave turbulence, Plasma Phys. Controlled Fusion, 35, 1033, 1993.
Smolyakov, A. I., P. H. Diamond, and M. Malkov, Coherent structure phenomena in drift wavezonal flow turbulence, Phys. Rev. Lett., 84, 491, 2000a.
Smolyakov, A. I., P. H. Diamond, and V. I. Shevchenko, Zonal flow generation by parametric instability in magnetized plasmas and geostrophic fluids, Phys. Plasmas, 7, 1349, 2000b.
Suttrop, W., V. Mertens, H. Murmann, J. Neuhauser, J. Schweinzer, and ASDEX-Upgrade Team, Operational limits for high edge density H-mode tokamak operation, J. Nucl. Mater., 266–269(O), 118, 1999.
Wagner, F., and ASDEX Team. Regime of improved confinement and high beta in neutral-beam-heated divertor discharges of the ASDEX tokamak, Phys. Rev. Lett., 49, 1408, 1982.
Xu, X. Q., R. H. Cohen, T. D. Rognlien, and J. R. Myra, Low-to-high confinement transition simulations in divertor geometry, Phys. Plasma, 7, 1951, 2000.
Zeiler, A., J. F. Drake, and B. Rogers, Nonlinear reduced Braginskii equations with ion thermal dynamics in toroidal plasma, Phys. Plasmas, 4, 2134, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this chapter
Cite this chapter
Guzdar, P.N., Kleva, R.G., Groebner, R.J., Gohil, P. (2005). Transition to Self-Organized High Confinement States in Tokamak Plasmas. In: Burton, W., et al. Nonequilibrium Phenomena in Plasmas. Astrophysics and Space Science Library, vol 321. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3109-2_10
Download citation
DOI: https://doi.org/10.1007/1-4020-3109-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3108-3
Online ISBN: 978-1-4020-3109-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)