Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation

Understanding the physics of the edge pedestal and edge localized modes (ELMs) is of great importance for ITER and the optimization of the tokamak concept. The peeling–ballooning model has quantitatively explained many observations, including ELM onset and pedestal constraints, in the standard H-mode regime. The ELITE code has been developed to efficiently evaluate peeling–ballooning stability for comparison with observation and predictions for future devices. We briefly review recent progress in the peeling–ballooning model, including experimental validation of ELM onset and pedestal height predictions, and nonlinear 3D simulations of ELM dynamics, which together lead to an emerging understanding of the physics of the onset and dynamics of ELMs in the standard intermediate to high collisionality regime. We also discuss new studies of the apparent power dependence of the pedestal, and studies of the impact of sheared toroidal flow. Recently, highly promising low collisionality regimes without ELMs have been discovered, including the quiescent H-mode (QH) and resonant magnetic perturbation (RMP) regimes. We present recent observations from the DIII-D tokamak of the density, shape and rotation dependence of QH discharges, and studies of the peeling–ballooning stability in this regime. We propose a model of the QH-mode in which the observed edge harmonic oscillation (EHO) is a saturated kink/peeling mode which is destabilized by current and rotation, and drives significant transport, allowing a near steady-state edge plasma. The model quantitatively predicts the observed density dependence and qualitatively predicts observed mode structure, rotation dependence and outer gap dependence. Low density RMP discharges are found to operate in a similar regime, but with the EHO replaced by an applied magnetic perturbation.

[1]  T. Osborne,et al.  Edge-localized-mode--induced transport of impurity density, energy, and momentum. , 2005, Physical review letters.

[2]  Peter Lang,et al.  Studies of the ‘Quiescent H-mode’ regime in ASDEX Upgrade and JET , 2005 .

[3]  E. Doyle,et al.  ELM suppression in low edge collisionality H-mode discharges using n = 3 magnetic perturbations , 2005 .

[4]  P. Snyder,et al.  Progress in the peeling-ballooning model of edge localized modes: Numerical studies of nonlinear dynamicsa) , 2005 .

[5]  H R Wilson,et al.  Theory for explosive ideal magnetohydrodynamic instabilities in plasmas. , 2004, Physical review letters.

[6]  L. L. Lao,et al.  ELMs and constraints on the H-mode pedestal: peeling–ballooning stability calculation and comparison with experiment , 2004 .

[7]  L. C. Bernard,et al.  GATO: An MHD stability code for axisymmetric plasmas with internal separatrices , 1981 .

[8]  Scott Kruger,et al.  Nonlinear extended magnetohydrodynamics simulation using high-order finite elements , 2005 .

[9]  Keith H. Burrell,et al.  Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas , 2006 .

[10]  W. Kerner,et al.  Modeling of diamagnetic stabilization of ideal magnetohydrodynamic instabilities associated with the transport barrier , 2001 .

[11]  Shinji Tokuda,et al.  Extension of the Newcomb equation into the vacuum for the stability analysis of tokamak edge plasmas , 2006, Comput. Phys. Commun..

[12]  R. L. Miller,et al.  Magnetohydrodynamic stability of tokamak edge plasmas , 1998 .

[13]  G. Bateman,et al.  Stability analysis of H-mode pedestal and edge localized modes in a Joint European Torus power scan , 2004 .

[14]  H. Wilson,et al.  Numerical studies of edge localized instabilities in tokamaks , 2002 .

[15]  J. Stober,et al.  MHD stability analysis of diagnostic optimized configuration shots in JET , 2005 .

[16]  L. L. Lao,et al.  Advances in understanding quiescent H-mode plasmas in DIII-D , 2005 .

[17]  G. F. Counsell,et al.  ELM characteristics in MAST , 2004 .

[18]  P. Snyder,et al.  Dynamical simulations of boundary plasma turbulence in divertor geometry , 2002 .

[19]  P. B. Snyder,et al.  Turbulence simulations of X point physics in the L-H transition* , 2002 .

[20]  L. Lao,et al.  Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes , 2002 .

[21]  Shinji Tokuda,et al.  A new eigenvalue problem associated with the two-dimensional Newcomb equation without continuous spectra , 1999 .

[22]  Y. R. Martin,et al.  Recent progress on the development and analysis of the ITPA global H-mode confinement database , 2007 .

[23]  T. Osborne,et al.  Characterization of peeling–ballooning stability limits on the pedestal , 2004 .

[24]  E. Strumberger,et al.  Numerical MHD stability studies: toroidal rotation, viscosity, resistive walls and current holes , 2005 .

[25]  P. B. Snyder,et al.  Pedestal performance dependence upon plasma shape in DIII-D , 2007 .

[26]  H. Wilson,et al.  MHD stability analysis of ELMs in MAST , 2006 .

[27]  L. Lao,et al.  Edge stability of the ELM-free quiescent H-mode on DIII-D , 2005 .

[28]  J. G. Cordey,et al.  A two-term model of the confinement in Elmy H-modes using the global confinement and pedestal databases , 2003 .

[29]  Anders Bondeson,et al.  Improved poloidal convergence of the MARS code for MHD stability analysis , 1999 .

[30]  J. Snipes,et al.  High-confinement-mode edge stability of Alcator C-mod plasmas , 2003 .

[31]  Impact of toroidal rotation on ELM behaviour in the H-mode on JT-60U , 2004 .