Large scale dynamics in flux driven gyrokinetic turbulence

The turbulent transport governed by the toroidal ion temperature gradient driven instability is analysed with the full-f global gyrokinetic code GYSELA (Grandgirard et al 2007 Plasma Phys. Control. Fusion 49 B173) when the system is driven by a prescribed heat source. Weak, yet finite, collisionality governs a neoclassical ion heat flux that can compete with the turbulent driven transport. In turn, the ratio of turbulent to neoclassical transport increases with the source magnitude, resulting in the degradation of confinement with additional power. The turbulent flux exhibits avalanche-like events, characterized by intermittent outbursts which propagate ballistically roughly at the diamagnetic velocity. Locally, the temperature gradient can drop well below the linear stability threshold. Large outbursts are found to correlate with streamer-like structures of the convection cells albeit their Fourier spectrum departs significantly from that of the most unstable linear modes. Last, the poloidal rotation of turbulent eddies is essentially governed by the radial electric field at moderate density gradient.

[1]  Laurent Villard,et al.  A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation , 2006, J. Comput. Phys..

[2]  Frank Jenko,et al.  Critical gradient formula for toroidal electron temperature gradient modes , 2001 .

[3]  S. Briguglio,et al.  Toroidal semicollisional microinstabilities and anomalous electron and ion transport , 1990 .

[4]  A. Manini,et al.  Profile stiffness and global confinement. Addendum , 2005 .

[5]  Virginie Grandgirard,et al.  Kinetic features of interchange turbulence , 2005 .

[6]  P. Diamond,et al.  Turbulence spreading into the linearly stable zone and transport scaling , 2003 .

[7]  Charlson C. Kim,et al.  Comparisons and physics basis of tokamak transport models and turbulence simulations , 2000 .

[8]  X. Garbet,et al.  Neoclassical equilibrium in gyrokinetic simulations , 2009 .

[9]  On the dynamics of turbulent transport near marginal stability , 1995 .

[10]  Jukka A. Heikkinen,et al.  Full f gyrokinetic method for particle simulation of tokamak transport , 2008, J. Comput. Phys..

[11]  X. Garbet,et al.  Nondiffusive transport in tokamaks: three-dimensional structure of bursts and the role of zonal flows , 2000, Physical review letters.

[12]  Virginie Grandgirard,et al.  Intermittency in flux driven kinetic simulations of trapped ion turbulence , 2008 .

[13]  Mark F. Adams,et al.  Gyrokinetic particle simulation of neoclassical transport in the pedestal/scrape-off region of a tokamak plasma , 2006 .

[14]  Frank Jenko,et al.  Electron temperature gradient driven turbulence , 1999 .

[15]  E. Joffrin,et al.  Magnetic shear effects on confinement and electron heat transport in Tore Supra discharges with electron heating , 1998 .

[16]  F. Jenko,et al.  Gyrokinetic simulation of collisionless trapped-electron mode turbulence , 2005 .

[17]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[18]  M. Rosenbluth,et al.  Dynamics of axisymmetric and poloidal flows in tokamaks , 1999 .

[19]  F. Hinton,et al.  Theory of plasma transport in toroidal confinement systems , 1976 .

[20]  Alain J. Brizard,et al.  Foundations of Nonlinear Gyrokinetic Theory , 2007 .

[21]  X. Garbet,et al.  Interplay between gyrokinetic turbulence, flows, and collisions: perspectives on transport and poloidal rotation. , 2009, Physical review letters.

[22]  F. Imbeaux,et al.  Turbulence in the TORE SUPRA tokamak: measurements and validation of nonlinear simulations. , 2009, Physical review letters.

[23]  Y. Sarazin,et al.  Intermittent particle transport in two-dimensional edge turbulence , 1998 .

[24]  F. Jenko,et al.  Electron temperature gradient turbulence. , 2000, Physical review letters.

[25]  P. Diamond,et al.  The dynamics of marginality and self-organized criticality as a paradigm for turbulent transport , 1996 .

[26]  Xavier Garbet,et al.  Heat flux driven ion turbulence , 1998 .

[27]  Gregory W. Hammett,et al.  Advances in the simulation of toroidal gyro Landau fluid model turbulence , 1995 .

[28]  A. Manini,et al.  Profile stiffness and global confinement , 2004 .

[29]  R. Waltz,et al.  Anomalous transport scaling in the DIII-D tokamak matched by supercomputer simulation. , 2003, Physical review letters.

[30]  R. Waltz,et al.  VALIDATING SIMULATIONS OF CORE TOKAMAK TURBULENCE: CURRENT STATUS AND FUTURE DIRECTIONS , 2008 .

[31]  Bill Scott,et al.  Gyrokinetic study of the edge shear layer , 2006 .

[32]  X. Garbet,et al.  Computing ITG turbulence with a full-f semi-Lagrangian code , 2008 .

[33]  P. Diamond,et al.  Streamer and zonal flow generation from envelope modulations in drift wave turbulence , 2001 .

[34]  R. Waltz,et al.  Studies of turbulence and transport in Alcator C-Mod ohmic plasmas with phase contrast imaging and comparisons with gyrokinetic simulations , 2008 .

[35]  X. Garbet,et al.  Transport due to front propagation in tokamaks , 2000 .

[36]  Shinji Tokuda,et al.  Study of ion turbulent transport and profile formations using global gyrokinetic full-f Vlasov simulation , 2009 .

[37]  Laurent Villard,et al.  Gyrokinetic simulations of turbulent transport , 2010 .

[38]  X. Garbet,et al.  On the influence of initial state on gyrokinetic simulations , 2008 .

[39]  X. Garbet,et al.  Theoretical analysis of the influence of external biasing on long range turbulent transport in the scrape-off layer , 2003 .

[40]  K. H. Burrell,et al.  Flow shear induced fluctuation suppression in finite aspect ratio shaped tokamak plasma , 1995 .

[41]  Laurent Villard,et al.  A global collisionless PIC code in magnetic coordinates , 2007, Comput. Phys. Commun..

[42]  Phillip Colella,et al.  Edge gyrokinetic theory and continuum simulations , 2007 .

[43]  Paul W. Terry,et al.  Influence of sheared poloidal rotation on edge turbulence , 1990 .

[44]  Hwa,et al.  Avalanches, hydrodynamics, and discharge events in models of sandpiles. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[45]  V. Lynch,et al.  Fluctuation-induced flux at the plasma edge in toroidal devices , 1996 .

[46]  X. Garbet,et al.  Global full-f gyrokinetic simulations of plasma turbulence , 2007 .

[47]  P. Diamond,et al.  Neoclassical poloidal and toroidal rotation in tokamaks , 1991 .

[48]  Politzer Observation of avalanchelike phenomena in a magnetically confined plasma , 2000, Physical review letters.

[49]  C. Bourdelle,et al.  Turbulent fluxes and entropy production rate , 2005 .

[50]  Z. Lin,et al.  Wave-particle decorrelation and transport of anisotropic turbulence in collisionless plasmas. , 2007, Physical review letters.

[51]  L. Villard,et al.  Avalanchelike bursts in global gyrokinetic simulations , 2009 .

[52]  T. Aniel,et al.  Radial electric field measurement in a tokamak with magnetic field ripple , 2008 .