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Intermittent transport of nonlinear reduced models in tokomak plasmas turbulence

Published online by Cambridge University Press:  01 May 2012

S. BELGHERRAS
Affiliation:
Ghardaïa University, BP 455 Airport Road, Noumerate, Ghardaïa, Algeria ([email protected])
T. BENOUAZ
Affiliation:
Laboratory of Electronic Physics and Modeling, University Abou Bakr Belkaïd, Tlemcen, Algeria
S. M. A. BEKKOUCHE
Affiliation:
Applied Research Unit on Renewable Energies, URAER, B.P. 88, ZI, Gart Taam Ghardaïa, Algeria

Abstract

Understanding the origin and nature of turbulent transport in tokomak plasmas is one of the major challenges of a successful magnetic confinement fusion. The aim of this work is to study instability associated with the ion-temperature gradient (ITG)-driven turbulence in the core of the plasma, which is the seat of fusion reactions. We used a low degree of freedom model composed of 18 ordinary differential equations. When the system is slightly above the stability threshold of the ITG mode, it is considered to be in the convection regime and convective heat transport of the system is time-independent, or oscillates periodically. As ITG is increased further, the system bifurcates to the turbulent regime. In a strongly turbulent regime, intermittent bursts (the so-called avalanches) are observed. This intermittency is a result of the competition among the following three factors: generation of sheared flows and suppression of ITG turbulence, gradual reduction of the sheared flows due to viscosity, and rapid regrowth of ITG modes due to reduction of sheared flows.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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References

[1]Benoît, L. 2002 Electronic Heat Transport in a Tokamak by Direct Numerical Simulation of a Small-Scale Turbulence. PhD thesis, Physics Graduate School and Material Sciences, University of Provence.Google Scholar
[2]Horton, W., Estes, R. D. and Biskamp, C. 1980 Fluctuations and transport due to ion temperature gradient-driven instabilities. Plasma Phys. 22, 663.CrossRefGoogle Scholar
[3]Hamaguchi, S. and Horton, W. 1990 Scaling laws for plasma transport due to ηi-driven turbulence. Phys. Fluids B2, 1834.Google Scholar
[4]Hamaguchi, S. and Horton, W. 1990 Intermittent transport and relaxation oscillations of nonlinear reduced models for fusion plasmas. Phys. Fluids B2, 3040.CrossRefGoogle Scholar
[5]Hamaguchi, S. and Horton, W. 1992 Generic mechanism of microturbulence suppression by vortex flows. Phys. Fluids B4, 319.CrossRefGoogle Scholar
[6]Horton, W., Choi, D-I. and Tang, W. 1981 Phys. Fluids 24, 1077.CrossRefGoogle Scholar
[7]Jarmen, A., Anderson, P. and Weiland, J. 1987 Nucl. Fusion 27, 941.CrossRefGoogle Scholar
[8]Mordman, H. and Weiland, J. 1987 Nucl. Fusion 27, 941.Google Scholar
[9]Hu, G. and Horton, W. 1997 Phys. Plasmas 4, 3262.CrossRefGoogle Scholar
[10]Lorenz, E. N. 1963 J. Atoms. Sci. 20, 130.2.0.CO;2>CrossRefGoogle Scholar
[11]Howard, L. N. and Krishnamurti, R. 1986 J. Fluid Mech. 170, 385.CrossRefGoogle Scholar
[12]Coppi, B., Green, J. M. and Johnson, J. L. 1966 Nucl. Fusion 6, 101.CrossRefGoogle Scholar
[13]Hamaguchi, S. 1989 Phys. Fluids B 1, 1416.CrossRefGoogle Scholar
[14]Takayama, A. and Wakatani, M. 1996 Plasma Phys. Control. Fusion 38, 1411.CrossRefGoogle Scholar
[15]Takayama, A., Wakatani, M. and Sugama, H. 1996 Phys. Plasmas 3, 3.CrossRefGoogle Scholar
[16]Bian, N., Benkadda, S., Garcia, O. E., Paulsen, J.-V. and Garbet, X. 2003 Phys. Plasmas 10, 1382.CrossRefGoogle Scholar
[17]Takeda, K., Benkadda, S., Hamaguchi, S. and Wakatani, M. July 2004 Onset of intermittent thermal transport by ion-temperature-gradient-driven turbulence based on a low-degree-of-freedom model. Phys. Plasmas 11, 7.CrossRefGoogle Scholar
[18]Hu, G. and Horton, W. 1997 Intermittent transport and relaxation oscillations of nonlinear reduced models for fusion plasmas, Phys. Plasmas 3, 3262.CrossRefGoogle Scholar