Gyrokinetic Transport Driven by Energetic Particle Modes

Size: px
Start display at page:

Download "Gyrokinetic Transport Driven by Energetic Particle Modes"

Transcription

1 Gyrokinetic Transport Driven by Energetic Particle Modes by Eric Bass (General Atomics) Collaborators: Ron Waltz, Ming Chu GSEP Workshop General Atomics August 10, 2009

2 Outline I. Background Alfvén (TAE/EPM) modes are destabilized by an energetic particle (EP) radial density gradient. Increased EP transport expected. EP destabilized modes in GYRO vs. Berk-Breizman model: different transport and saturation mechanisms, different dynamical limits GYRO code used to study transport enhancement caused by steady-state Alfvén microturbulence. II. Linear stability analysis Identification of multiple, coexisting, low-k θ drift-alfvén modes driven unstable by a sparse EP population. A new eigenvalue solver within GYRO maps these overlapping modes. III. Non-linear transport Saturated states with finite, low-k θ Alfvén drive are elusive, but can be found. Preliminary studies show transport enhancement in most species channels, especially in EPs

3 EPs can de-stabilize Alfvén turbulence. Multiple Alfvén eigenmodes, created or destabilized by an EP plasma component, are predicted by high-n ballooning mode theory. Toroidal Alfvén Eigenmode (TAE): MHD mode existing in the toroidally induced gap in the Alfvén continuum. De-stabilized by EPs. TAE gap: ω TAE 1 with 1+ 2 r R ω ω TAE 1 ω TAE = v A 2qR 1 2 r R Energetic Particle Mode (EPM): Exist in the Alfvén continuum when kinetic EP drive exceeds continuum damping. Don t exist without EPs. Both modes are fed by the free energy in a radial density gradient in the EPs. F. Zonca, L. Chen, PoP 3, 323 (1996) G. Y. Fu and C. Z. Cheng, Phys. Fluids B 2, (1990)

4 Two Alfvén-induced transport pictures have different mechanisms. Global, Berk-Breizman High-n microturbulence, GYRO ν ν d Wave-trapped particles are constrained by an adiabatic invariant to move perpendicular to the field as they slow. Transport behavior depends sensitively on velocity space diffusion regime: ω ω b Fig. 1 from Berk- Breizman, 1990 : slowing down rate : velocity diffusion rate ω ω b ν ν d 2 ω ω b : mode frequency : trapped particle bounce frequency Self-consistent local fluctuations induce particle and heat flux. Q = δv E B δe Γ = δv E B δn heat flux particle flux Strictly analogous to collisionless ITG/ TEM and ETG turbulent transport. Particle trapping by the wave is not invoked in this picture. Saturation amplitude is generally much lower than the point where wave particle trapping becomes significant. H. L. Berk and B. N. Breizman, Phys. Fluids B 2 (9), 1990

5 GYRO microturbulence saturates by mode-mode interaction. Berk-Breizman model One-mode saturation: Saturation occurs when finite-amplitude power transfer to the wave falls below the background plasma damping or when local profile gradient relaxes. Saturation amplitude varies with collisional regime. GYRO microturbulence Multi-mode saturation: Total mode growth rate (including damping) is determined self-consistently. Saturation is primarily from interaction with n=0 zonal flow. n EP =0.007n e, al nep -1 =4, all others GA standard

6 GYRO microturbulence assumes steady-state dynamics. In B-B model, radially overlapping modes create a conveyor belt to the edge. GYRO presumes a steady-state with finite instability drive. Radial gradient is fixed. nep nep with overlap no mode overlap r r A burst cycle develops as the driving radial gradient is reduced by wave transport and restored by the EP source. Berk, TTF modes, nep=0.007ne with alnep-1=4 and all others GA standard. Only long-time average of saturated state is physically relevant in this view.

7 The GYRO code GYRO is a versatile, parallel initial-value solver of the gyrokinetic equations (electrostatic or electromagnetic) in toroidal geometry. Tracks up to four kinetic species (electrons and three ions), each with a Maxwellian velocity distribution and independent temperature. Local (flux tube) or global simulations. Treats one toroidal number mode number n at a time (linear) or a spectrum of interacting n numbers (non-linear). Linear operation Growth rate, frequency, and eigenfunction of the leading mode. Linear diffusion for one toroidal n. Non-linear operation Saturated amplitude of linearly driven turbulence. Total non-linear diffusion and n-dependence. Well benchmarked against several linear, nonlinear, and electromagnetic flux tube gyrokinetic codes (e.g. GS2, GENE, GEM). J. Candy, R.E. Waltz, JCP (2003)

8 GYRO has been used to study fusion α transport by ITG turbulence. An equivalent Maxwellian F M (v) at temperature T is defined for a given slowing-down distribution F S (v) by equating pressure. v 2 F M ( v)v 2 dv = v 2 F S ( v)v 2 dv T = 2I 1 4 E α I n dx 0 3I 2 v c /v α x n ( ) 3 + x 3 Electrostatic simulations give transport of α particles by ITG turbulence. GA standard case with: n α /n e = L Tα -1 = 0.5 L nα -1 = 5 Normalized energy and particle flux for α particles as a function of α temperature T α. C. Estrada-Mila, J. Candy, R.E. Waltz, PoP 13, (2006)

9 Maxwellian and slowing-down distributions give similar results. Slowing-down and Maxwellian distributions weighted by v 2 for T e = 15 kev. C. Estrada-Mila, J. Candy, R.E. Waltz, PoP 13, (2006) Diffusion coefficient for α particles in a slowingdown and equivalent Maxwellian distribution. C. Angioni, A.G. Peeters, PoP 15, (2008) Maxwellian EP distribution required by GYRO is qualitatively justified for studying interaction with spatially driven turbulence.

10 Parameters of the simulations Electromagnetic, flux-tube simulations to study destabilized Alfven turbulence Simulation requirements: Include a Maxwellian EP species with a sufficiently large density gradient to drive Alfvén turbulence. Background species gradients to drive the usual ITG-TEM turbulence. Physically relevant parameters that can be easily compared to previous simulations. Care must be taken to stay below the MHD critical β gradient. A GYRO subcritical β requires an even lower β in non-linear simulations. Choose a deuterium plasma (GA standard case) with sparse, hot α particles: β e = T i = T e al ne -1 = al ni -1 = 1 al Te -1 = al Ti -1 = 3 q = 2 s = 1 R = 3a r = 0.5a T EP =100T e al nep -1 = 4 al TEP -1 = n EP Energetic particle parameters Note: v EP c s = 7.07 << v A c s = 31.6

11 EPs drive instability at low k θ. Frequency ω and growth rate γ of leading mode for n EP = GA standard case with EP density gradient GA standard case with no EP gradient Ballooning space potential eigenfunction for k θ ρ s = k θ ρ EP = 50k θ ρ s =1 Drift-like frequency dependence on k θ. φ Usual ballooning mode representation: Φ(ψ,θ,ζ) = φ(ψ,θ 2πl,δ)e in ( ζ q(ψ )θ + θ k (ψ )dq) l= θ/π

12 New GYRO eigensolver reveals TAE and EPM existing side-by-side. ω, γ vs. k θ ρ s, n EP = ω, γ vs. n EP, k θ ρ s = 0.03 Drive increases with n EP for leading high-frequency modes. Frequency scaling changes from Alfvénlike to drift-like at cross point. Frequency and growth rate for unstable modes found by the GYRO eigensolver.

13 Low-k θ Alfvén drive dominates the turbulent spectrum as n EP increases Potential power spectrum for 16-mode nonlinear simulations TAE/EPM Low density spectrum is consistent with ITG/TEM turbulence. At higher n EP, low k θ drive kicks in. Low k θ, Alfvén component clearly dominates the turbulent spectrum at sufficient EP density. Zonal flows Greater mode density is required to fully resolve the low-k θ peak.

14 40 mode cases underway show less noise and better saturation. Saturation above n EP =0.007n e is still problematic. Runs with E B shear will hopefully push this boundary to higher density. 16 mode cases (6 cheaper) are still instructive and give qualitative physics.

15 EP density below the stability threshold does not affect background plasma transport. Energy flux per particle Q for all species vs. time at n EP = (16 modes). Density flux per particle Γ for all species vs. time at n EP = (16 modes). Q i /T i n i Region of average Γ ι /n i Γ e /n e Region of average Q e /T e n e Γ EP/n EP Q EP /T EP n EP n EP = : Q EP /T EP n EP = 0.93 Γ EP /n EP = 2.23 Q i /T i n i = 40.4 Γ i /n i = 0.84 Q e /T e n e = 21.2 Γ e /n e = 0.86 Results consistent with previously observed transport 1,2. 1 Ron Waltz, private communication 2 C. Estrada-Mila, J. Candy, R.E. Waltz, PoP 13, (2006)

16 Transport k θ ρ s dependence at n EP =0.005 Energy: Density: At n EP =0.005, electron and ion results are consistent with simulations where no EPs are present. EPs are a passive tracer.

17 Initial unsaturated time trace shows increased transport in most species channels with higher EP density. Energy flux per particle Q for all species vs. time at n EP = (16 modes). Density flux per particle Γ for all species vs. time at n EP = (16 modes). Region of average Γ EP /n EP Region of average Q e /T e n e Q i /T i n i Γ e /n e Γ ι /n i Q EP /T EP n EP n EP = : Q EP /T EP n EP = 4.45 Γ EP /n EP = 4.27 Q i /T i n i = 49.0 Γ i /n i = 0.65 Q e /T e n e = 24.1 Γ e /n e = 0.71 Oscillation at ωa/c s =2.2 corresponds to linearly unstable k θ ρ s =0.05 TAE.

18 Transport k θ ρ s dependence above threshold Energy: Density:

19 Summary Electromagnetic GYRO simulations have been run with an EP component. The TAE and EPM can be simultaneously destabilized at k θ ρ EP < 1 by the EPs. Linear flux tube studies with initial value and spectral solvers show multiple such modes coexisting with large growth rates at modest EP density. When n EP is below the linear stability threshold, transport is the same as in finite β simulations without EPs. At higher n EP, destabilized, low-k θ Alfvén modes enhance transport across most channels. Alfvén drive rises rapidly and saturated states can be elusive. Preliminary results show TAE/EPM turbulence, like ITG/TEM, can achieve a finite-drive steady state. Additional physics, such as E B drift, will be required to get well saturated states above n EP 0.007n e.

20 Unanswered Questions What role do velocity space instabilities play in transport? An inverted EP distribution can excite n=0 EGAMS. Will EGAMS suppress finite k θ turbulence and reduce transport? How much does the transport picture change in a global simulation? Certain Alfvén eigenmodes such as RSAEs are absent in the flux tube model. Do high-n approximations made in GYRO accurately describe very long wavelength Alfvén turbulence? Does large TAE/EPM incremental transport create a soft limit on the EP profile gradient?

21 Medium density n EP =0.007 is an intermittent case. Energy flux per particle Q for all species vs. time at n EP = Density flux per particle Γ for all species vs. time at n EP = Q i /T i n i Region of average Γ e /n e Γ ι /n i Region of average Γ EP /n EP Q e /T e n e Q EP /T EP n EP n EP = : Q EP /T EP n EP = 1.24 Γ EP /n EP = 2.45 Q i /T i n i = 42.8 Γ i /n i = 0.35 Q e /T e n e = 20.8 Γ e /n e =

22 Transport k θ ρ s dependence at n EP =0.007 Energy: Density:

TURBULENT TRANSPORT THEORY

TURBULENT TRANSPORT THEORY ASDEX Upgrade Max-Planck-Institut für Plasmaphysik TURBULENT TRANSPORT THEORY C. Angioni GYRO, J. Candy and R.E. Waltz, GA The problem of Transport Transport is the physics subject which studies the physical

More information

Global particle-in-cell simulations of Alfvénic modes

Global particle-in-cell simulations of Alfvénic modes Global particle-in-cell simulations of Alfvénic modes A. Mishchenko, R. Hatzky and A. Könies Max-Planck-Institut für Plasmaphysik, EURATOM-Association, D-749 Greifswald, Germany Rechenzentrum der Max-Planck-Gesellschaft

More information

Computational Issues in the Continuum Gyrokinetic Code GYRO

Computational Issues in the Continuum Gyrokinetic Code GYRO Computational Issues in the Continuum Gyrokinetic Code GYRO presented by: Eric Bass GSEP SciDAC project at General Atomics CScADS Workshop Snowbird, UT July 19, 2010 About GYRO Purpose: To predict transport

More information

GTC Simulation of Turbulence and Transport in Tokamak Plasmas

GTC Simulation of Turbulence and Transport in Tokamak Plasmas GTC Simulation of Turbulence and Transport in Tokamak Plasmas Z. Lin University it of California, i Irvine, CA 92697, USA and GPS-TTBP Team Supported by SciDAC GPS-TTBP, GSEP & CPES Motivation First-principles

More information

Coupled radius-energy turbulent transport of alpha particles

Coupled radius-energy turbulent transport of alpha particles Coupled radius-energy turbulent transport of alpha particles George Wilkie, Matt Landreman, Ian Abel, William Dorland 24 July 2015 Plasma kinetics working group WPI, Vienna Wilkie (Maryland) Coupled transport

More information

Bounce-averaged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas

Bounce-averaged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas Bounce-averaged gyrokinetic simulations of trapped electron turbulence in elongated tokamak plasmas Lei Qi a, Jaemin Kwon a, T. S. Hahm a,b and Sumin Yi a a National Fusion Research Institute (NFRI), Daejeon,

More information

Multi-scale turbulence, electron transport, and Zonal Flows in DIII-D

Multi-scale turbulence, electron transport, and Zonal Flows in DIII-D Multi-scale turbulence, electron transport, and Zonal Flows in DIII-D L. Schmitz1 with C. Holland2, T.L. Rhodes1, G. Wang1, J.C. Hillesheim1, A.E. White3, W. A. Peebles1, J. DeBoo4, G.R. McKee5, J. DeGrassie4,

More information

International Workshop on the Frontiers of Modern Plasma Physics July On the Nature of Plasma Core Turbulence.

International Workshop on the Frontiers of Modern Plasma Physics July On the Nature of Plasma Core Turbulence. 1953-43 International Workshop on the Frontiers of Modern Plasma Physics 14-25 July 2008 On the Nature of Plasma Core Turbulence. F. Jenko Max-Planck Institute fuer Plasmaphysik Garching bei Munchen Germany

More information

Particle-in-cell simulations of electron transport from plasma turbulence: recent progress in gyrokinetic particle simulations of turbulent plasmas

Particle-in-cell simulations of electron transport from plasma turbulence: recent progress in gyrokinetic particle simulations of turbulent plasmas Institute of Physics Publishing Journal of Physics: Conference Series 16 (25 16 24 doi:1.188/1742-6596/16/1/2 SciDAC 25 Particle-in-cell simulations of electron transport from plasma turbulence: recent

More information

Microtearing Simulations in the Madison Symmetric Torus

Microtearing Simulations in the Madison Symmetric Torus Microtearing Simulations in the Madison Symmetric Torus D. Carmody, P.W. Terry, M.J. Pueschel - University of Wisconsin - Madison dcarmody@wisc.edu APS DPP 22 Overview PPCD discharges in MST have lower

More information

Kinetic damping in gyro-kinetic simulation and the role in multi-scale turbulence

Kinetic damping in gyro-kinetic simulation and the role in multi-scale turbulence 2013 US-Japan JIFT workshop on New Aspects of Plasmas Kinetic Simulation NIFS, November 22-23, 2013 Kinetic damping in gyro-kinetic simulation and the role in multi-scale turbulence cf. Revisit for Landau

More information

Size Scaling and Nondiffusive Features of Electron Heat Transport in Multi-Scale Turbulence

Size Scaling and Nondiffusive Features of Electron Heat Transport in Multi-Scale Turbulence Size Scaling and Nondiffusive Features of Electron Heat Transport in Multi-Scale Turbulence Z. Lin 1, Y. Xiao 1, W. J. Deng 1, I. Holod 1, C. Kamath, S. Klasky 3, Z. X. Wang 1, and H. S. Zhang 4,1 1 University

More information

Co-existence and interference of multiple modes in plasma turbulence: Some recent GENE results

Co-existence and interference of multiple modes in plasma turbulence: Some recent GENE results Co-existence and interference of multiple modes in plasma turbulence: Some recent GENE results Frank Jenko IPP Garching, Germany University of Ulm, Germany Acknowledgements: F. Merz, T. Görler, D. Told,

More information

Advances in stellarator gyrokinetics

Advances in stellarator gyrokinetics Advances in stellarator gyrokinetics Per Helander and T. Bird, F. Jenko, R. Kleiber, G.G. Plunk, J.H.E. Proll, J. Riemann, P. Xanthopoulos 1 Background Wendelstein 7-X will start experiments in 2015 optimised

More information

Nonlinear MHD effects on TAE evolution and TAE bursts

Nonlinear MHD effects on TAE evolution and TAE bursts Nonlinear MHD effects on TAE evolution and TAE bursts Y. Todo (NIFS) collaborating with H. L. Berk and B. N. Breizman (IFS, Univ. Texas) GSEP 3rd Annual Meeting (remote participation / Aug. 9-10, 2010)

More information

Global gyrokinetic particle simulations with kinetic electrons

Global gyrokinetic particle simulations with kinetic electrons IOP PUBLISHING Plasma Phys. Control. Fusion 49 (2007) B163 B172 PLASMA PHYSICS AND CONTROLLED FUSION doi:10.1088/0741-3335/49/12b/s15 Global gyrokinetic particle simulations with kinetic electrons Z Lin,

More information

Global gyrokinetic modeling of geodesic acoustic modes and shear Alfvén instabilities in ASDEX Upgrade.

Global gyrokinetic modeling of geodesic acoustic modes and shear Alfvén instabilities in ASDEX Upgrade. 1 EX/P1-18 Global gyrokinetic modeling of geodesic acoustic modes and shear Alfvén instabilities in ASDEX Upgrade. A. Biancalani 1, A. Bottino 1, S. Briguglio 2, G.D. Conway 1, C. Di Troia 2, R. Kleiber

More information

Gyrokinetic Turbulence in Tokamaks and Stellarators

Gyrokinetic Turbulence in Tokamaks and Stellarators Gyrokinetic Turbulence in Tokamaks and Stellarators Frank Jenko IPP, Germany Acknowledgements: P. Xanthopoulos, F. Merz, T. Görler, M. Pueschel, D. Told; A. Boozer, G. Hammett, D. Mikkelsen, M. Zarnstorff,

More information

ENERGETIC PARTICLES AND BURNING PLASMA PHYSICS

ENERGETIC PARTICLES AND BURNING PLASMA PHYSICS ENERGETIC PARTICLES AND BURNING PLASMA PHYSICS Reported by J. Van Dam Institute for Fusion Studies The University of Texas at Austin US-Japan JIFT Workshop on Theory-Based Modeling and Integrated Simulation

More information

MHD-particle simulations and collective alpha-particle transport: analysis of ITER scenarios and perspectives for integrated modelling

MHD-particle simulations and collective alpha-particle transport: analysis of ITER scenarios and perspectives for integrated modelling MHD-particle simulations and collective alpha-particle transport: analysis of ITER scenarios and perspectives for integrated modelling G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione Euratom-ENEA

More information

Gyrokinetic Turbulence Simulations at High Plasma Beta

Gyrokinetic Turbulence Simulations at High Plasma Beta Gyrokinetic Turbulence Simulations at High Plasma Beta Moritz J. Pueschel Thanks to F. Jenko and M. Kammerer Ringberg Theory Meeting, Nov. 18, 2008 1 Motivation 2 3 The Beta Parameter Definition β β e

More information

Nonlinear Consequences of Weakly Driven Energetic Particle Instabilities

Nonlinear Consequences of Weakly Driven Energetic Particle Instabilities 2008 International Sherwood Fusion Theory Conference March 30 - April 2, 2008, Boulder, Colorado Nonlinear Consequences of Weakly Driven Energetic Particle Instabilities Boris Breizman Institute for Fusion

More information

Electromagnetic Turbulence Simulations with Kinetic Electrons from the the Summit Framework

Electromagnetic Turbulence Simulations with Kinetic Electrons from the the Summit Framework 19th IAEA Fusion Energy Conference Tuesday, October 15, 2002 Paper: TH/P1-13 Electromagnetic Turbulence Simulations with Kinetic Electrons from the the Summit Framework Scott Parker and Yang Chen University

More information

Fine-Scale Zonal Flow Suppression of Electron Temperature Gradient Turbulence

Fine-Scale Zonal Flow Suppression of Electron Temperature Gradient Turbulence Fine-Scale Zonal Flow Suppression of Electron Temperature Gradient Turbulence S.E. Parker, J.J. Kohut, Y. Chen, Z. Lin, F.L. Hinton and W.W. Lee Center for Integrated Plasma Studies, University of Colorado,

More information

Active and Fast Particle Driven Alfvén Eigenmodes in Alcator C-Mod

Active and Fast Particle Driven Alfvén Eigenmodes in Alcator C-Mod Active and Fast Particle Driven Alfvén Eigenmodes in Alcator C-Mod JUST DID IT. J A Snipes, N Basse, C Boswell, E Edlund, A Fasoli #, N N Gorelenkov, R S Granetz, L Lin, Y Lin, R Parker, M Porkolab, J

More information

Gyrokinetic Simulations of Tokamak Microturbulence

Gyrokinetic Simulations of Tokamak Microturbulence Gyrokinetic Simulations of Tokamak Microturbulence W Dorland, Imperial College, London With key contributions from: S C Cowley F Jenko G W Hammett D Mikkelsen B N Rogers C Bourdelle W M Nevins D W Ross

More information

Z. Lin University of California, Irvine, CA 92697, USA. Supported by SciDAC GPS-TTBP, GSEP & CPES

Z. Lin University of California, Irvine, CA 92697, USA. Supported by SciDAC GPS-TTBP, GSEP & CPES GTC Framework Development and Application Z. Lin University of California, Irvine, CA 92697, USA and dgpsttbp GPS-TTBP Team Supported by SciDAC GPS-TTBP, GSEP & CPES GPS-TTBP Workshop on GTC Framework

More information

Effects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER

Effects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER Effects of Alpha Particle Transport Driven by Alfvénic Instabilities on Proposed Burning Plasma Scenarios on ITER G. Vlad, S. Briguglio, G. Fogaccia, F. Zonca Associazione Euratom-ENEA sulla Fusione, C.R.

More information

GA A25566 COUPLED ITG/TEM-ETG GYROKINETIC SIMULATIONS

GA A25566 COUPLED ITG/TEM-ETG GYROKINETIC SIMULATIONS GA A25566 COUPLED ITG/TEM-ETG GYROKINETIC SIMULATIONS by J. CANDY and R.E. WALTZ SEPTEMBER 2006 DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government.

More information

Low-collisionality density-peaking in GYRO simulations of C-Mod plasmas

Low-collisionality density-peaking in GYRO simulations of C-Mod plasmas Low-collisionality density-peaking in GYRO simulations of C-Mod plasmas D. R. Mikkelsen, M. Bitter, K. Hill, PPPL M. Greenwald, J.W. Hughes, J. Rice, MIT J. Candy, R. Waltz, General Atomics APS Division

More information

Transport Improvement Near Low Order Rational q Surfaces in DIII D

Transport Improvement Near Low Order Rational q Surfaces in DIII D Transport Improvement Near Low Order Rational q Surfaces in DIII D M.E. Austin 1 With K.H. Burrell 2, R.E. Waltz 2, K.W. Gentle 1, E.J. Doyle 8, P. Gohil 2, C.M. Greenfield 2, R.J. Groebner 2, W.W. Heidbrink

More information

Gyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma

Gyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma Gyrokinetic simulations including the centrifugal force in a strongly rotating tokamak plasma F.J. Casson, A.G. Peeters, Y. Camenen, W.A. Hornsby, A.P. Snodin, D. Strintzi, G.Szepesi CCFE Turbsim, July

More information

Validation Study of gyrokinetic simulation (GYRO) near the edge in Alcator C-Mod ohmic discharges

Validation Study of gyrokinetic simulation (GYRO) near the edge in Alcator C-Mod ohmic discharges Validation Study of gyrokinetic simulation (GYRO) near the edge in Alcator C-Mod ohmic discharges C. Sung, A. E. White, N. T. Howard, D. Mikkelsen, C. Holland, J. Rice, M. Reinke, C. Gao, P. Ennever, M.

More information

Characterizing electron temperature gradient turbulence via numerical simulation

Characterizing electron temperature gradient turbulence via numerical simulation Characterizing electron temperature gradient turbulence via numerical simulation W. M. Nevins Lawrence Livermore National Laboratory, Livermore, California 94551 J. Candy General Atomics, San Diego, California

More information

C-Mod Transport Program

C-Mod Transport Program C-Mod Transport Program PAC 2006 Presented by Martin Greenwald MIT Plasma Science & Fusion Center 1/26/2006 Introduction Programmatic Focus Transport is a broad topic so where do we focus? Where C-Mod

More information

L Aquila, Maggio 2002

L Aquila, Maggio 2002 Nonlinear saturation of Shear Alfvén Modes and energetic ion transports in Tokamak equilibria with hollow-q profiles G. Vlad, S. Briguglio, F. Zonca, G. Fogaccia Associazione Euratom-ENEA sulla Fusione,

More information

Hybrid Kinetic-MHD simulations with NIMROD

Hybrid Kinetic-MHD simulations with NIMROD simulations with NIMROD 1 Yasushi Todo 2, Dylan P. Brennan 3, Kwang-Il You 4, Jae-Chun Seol 4 and the NIMROD Team 1 University of Washington, Seattle 2 NIFS, Toki-Japan 3 University of Tulsa 4 NFRI, Daejeon-Korea

More information

Multiscale, multiphysics modeling of turbulent transport and heating in collisionless, magnetized plasmas

Multiscale, multiphysics modeling of turbulent transport and heating in collisionless, magnetized plasmas Multiscale, multiphysics modeling of turbulent transport and heating in collisionless, magnetized plasmas Michael Barnes Plasma Science & Fusion Center Massachusetts Institute of Technology Collaborators:

More information

Gyrokinetics an efficient framework for studying turbulence and reconnection in magnetized plasmas

Gyrokinetics an efficient framework for studying turbulence and reconnection in magnetized plasmas Frank Jenko Gyrokinetics an efficient framework for studying turbulence and reconnection in magnetized plasmas Max-Planck-Institut für Plasmaphysik, Garching Workshop on Vlasov-Maxwell Kinetics WPI, Vienna,

More information

Alpha Particle Transport Induced by Alfvénic Instabilities in Proposed Burning Plasma Scenarios

Alpha Particle Transport Induced by Alfvénic Instabilities in Proposed Burning Plasma Scenarios Alpha Particle Transport Induced by Alfvénic Instabilities in Proposed Burning Plasma Scenarios G. Vlad, S. Briguglio, G. Fogaccia and F. Zonca Associazione Euratom-ENEA sulla Fusione, C.R. Frascati C.P.

More information

Interaction between EGAMs and turbulence in full-f gyrokinetic simulations

Interaction between EGAMs and turbulence in full-f gyrokinetic simulations Interaction between EGAMs and turbulence in full-f gyrokinetic simulations David Zarzoso 1 X Garbet 1, Y Sarazin 1, V Grandgirard 1, J Abiteboul 1, A Strugarek 1,2, G Dif-Pradalier 1, R Dumont 1, G Latu

More information

Effects of drag and diffusion on nonlinear behavior of EP-driven instabilities.

Effects of drag and diffusion on nonlinear behavior of EP-driven instabilities. IAEA-TM EP 2011 / 09 / 07 Effects of drag and diffusion on nonlinear behavior of EP-driven instabilities. Maxime Lesur Y. Idomura, X. Garbet, P. Diamond, Y. Todo, K. Shinohara, F. Zonca, S. Pinches, M.

More information

Nonlinear magnetohydrodynamic effects on Alfvén eigenmode evolution and zonal flow

Nonlinear magnetohydrodynamic effects on Alfvén eigenmode evolution and zonal flow Home Search Collections Journals About Contact us My IOPscience Nonlinear magnetohydrodynamic effects on Alfvén eigenmode evolution and zonal flow generation This article has been downloaded from IOPscience.

More information

Verification of gyrokinetic particle simulation of Alfven eigenmodes excited by external antenna and by fast ions

Verification of gyrokinetic particle simulation of Alfven eigenmodes excited by external antenna and by fast ions Verification of gyrokinetic particle simulation of Alfven eigenmodes excited by external antenna and by fast ions L. Chen 1,2, W. Deng 1, Z. Lin 1, D. Spong 3, G. Y. Sun 4, X. Wang 2,1, X. Q. Xu 5, H.

More information

Gyrokinetic Theory and Dynamics of the Tokamak Edge

Gyrokinetic Theory and Dynamics of the Tokamak Edge ASDEX Upgrade Gyrokinetic Theory and Dynamics of the Tokamak Edge B. Scott Max Planck Institut für Plasmaphysik D-85748 Garching, Germany PET-15, Sep 2015 these slides: basic processes in the dynamics

More information

Validating Simulations of Multi-Scale Plasma Turbulence in ITER-Relevant, Alcator C-Mod Plasmas

Validating Simulations of Multi-Scale Plasma Turbulence in ITER-Relevant, Alcator C-Mod Plasmas Validating Simulations of Multi-Scale Plasma Turbulence in ITER-Relevant, Alcator C-Mod Plasmas Nathan Howard 1 with C. Holland 2, A.E. White 1, M. Greenwald 1, J. Candy 3, P. Rodriguez- Fernandez 1, and

More information

Coarse-graining the electron distribution in turbulence simulations of tokamak plasmas

Coarse-graining the electron distribution in turbulence simulations of tokamak plasmas Coarse-graining the electron distribution in turbulence simulations of tokamak plasmas Yang Chen and Scott E. Parker University of Colorado at Boulder Gregory Rewoldt Princeton Plasma Physics Laboratory

More information

MHD instabilities and fast particles

MHD instabilities and fast particles ENEA F. Zonca 1 MHD instabilities and fast particles Fulvio Zonca Associazione Euratom-ENEA sulla Fusione, C.R. Frascati, C.P. 65-44 - Frascati, Italy. July 11.th, 25 : Turbulence overshoot and resonant

More information

ITER Predictions Using the GYRO Verified and Experimentally Validated TGLF Transport Model

ITER Predictions Using the GYRO Verified and Experimentally Validated TGLF Transport Model 1 THC/3-3 ITER Predictions Using the GYRO Verified and Experimentally Validated TGLF Transport Model J.E. Kinsey, G.M. Staebler, J. Candy, and R.E. Waltz General Atomics, P.O. Box 8608, San Diego, California

More information

Energetic-Ion-Driven MHD Instab. & Transport: Simulation Methods, V&V and Predictions

Energetic-Ion-Driven MHD Instab. & Transport: Simulation Methods, V&V and Predictions Energetic-Ion-Driven MHD Instab. & Transport: Simulation Methods, V&V and Predictions 7th APTWG Intl. Conference 5-8 June 2017 Nagoya Univ., Nagoya, Japan Andreas Bierwage, Yasushi Todo 14.1MeV 10 kev

More information

Studies of Turbulence-driven FLOWs:

Studies of Turbulence-driven FLOWs: Studies of Turbulence-driven FLOWs: a) V ", V Competition in a Tube b) Revisiting Zonal Flow Saturation J.C. Li, P.H. Diamond, R. Hong, G. Tynan University of California San Diego, USA This material is

More information

Simulation Study of Interaction between Energetic Ions and Alfvén Eigenmodes in LHD

Simulation Study of Interaction between Energetic Ions and Alfvén Eigenmodes in LHD 1 Simulation Study of Interaction between Energetic Ions and Alfvén Eigenmodes in LHD Y. Todo 1), N. Nakajima 1), M. Osakabe 1), S. Yamamoto 2), D. A. Spong 3) 1) National Institute for Fusion Science,

More information

Role of Zonal Flows in TEM Turbulence through Nonlinear Gyrokinetic Particle and Continuum Simulation

Role of Zonal Flows in TEM Turbulence through Nonlinear Gyrokinetic Particle and Continuum Simulation 22 nd IAEA Fusion Energy Conference Geneva, Switzerland, 3-8 October 2008 IAEA-CN-65/TH/P8-39 Role of Zonal Flows in TEM Turbulence through Nonlinear Gyrokinetic Particle and Continuum Simulation D. R.

More information

The gyrokinetic turbulence code GENE - Numerics and applications

The gyrokinetic turbulence code GENE - Numerics and applications Contributors: T. Dannert (1), F. Jenko (1),F. Merz (1), D. Told (1), X. Lapillonne (2), S. Brunner (2), and others T. Görler (1) The gyrokinetic turbulence code GENE - Numerics and applications (1) Max-Planck-Institut

More information

Properties of freely decaying and driven turbulence of fusion plasmas using gyrokinetic particle simulation

Properties of freely decaying and driven turbulence of fusion plasmas using gyrokinetic particle simulation J. Plasma Fusion Res. SERIES, Vol. 9 () Properties of freely decaying and driven turbulence of fusion plasmas using gyrokinetic particle simulation R. Ganesh Institute for Plasma Research, Bhat Village,

More information

Towards Multiscale Gyrokinetic Simulations of ITER-like Plasmas

Towards Multiscale Gyrokinetic Simulations of ITER-like Plasmas Frank Jenko Max-Planck-Institut für Plasmaphysik, Garching Universität Ulm Towards Multiscale Gyrokinetic Simulations of ITER-like Plasmas 23 rd IAEA Fusion Energy Conference 11-16 October 2010, Daejeon,

More information

Predictions of fusion α-particle transport due to Alfvén eigenmodes in ITER

Predictions of fusion α-particle transport due to Alfvén eigenmodes in ITER Predictions of fusion α-particle transport due to Alfvén eigenmodes in ITER M. Fitzgerald, S.E. Sharapov, P. Rodrigues 2, A. Polevoi 3, D. Borba 2 2 Instituto de Plasmas e Fusão Nuclear, Instituto Superior

More information

A Simulation Model for Drift Resistive Ballooning Turbulence Examining the Influence of Self-consistent Zonal Flows *

A Simulation Model for Drift Resistive Ballooning Turbulence Examining the Influence of Self-consistent Zonal Flows * A Simulation Model for Drift Resistive Ballooning Turbulence Examining the Influence of Self-consistent Zonal Flows * Bruce I. Cohen, Maxim V. Umansky, Ilon Joseph Lawrence Livermore National Laboratory

More information

Geodesic Acoustic and related modes

Geodesic Acoustic and related modes Geodesic Acoustic and related modes A. Smolyakov* Acknowledgements X. Garbet, C. Nguyen (CEA Cadarache) V.I. Ilgisonis, V.P. Lakhin, A.Melnikov (Kurchatov Institute) * University of Saskatchewan, Canada

More information

Global Nonlinear Simulations of Ion and Electron Turbulence Usintg a Particle-In-Cell Approach

Global Nonlinear Simulations of Ion and Electron Turbulence Usintg a Particle-In-Cell Approach Global Nonlinear Simulations of Ion and Electron Turbulence Usintg a Particle-In-Cell Approach S. Jolliet 1), B. F. McMillan 1), T. M. Tran 1), X. Lapillonne 1), L. Villard 1), A. Bottino 2), P. Angelino

More information

Innovative Concepts Workshop Austin, Texas February 13-15, 2006

Innovative Concepts Workshop Austin, Texas February 13-15, 2006 Don Spong Oak Ridge National Laboratory Acknowledgements: Jeff Harris, Hideo Sugama, Shin Nishimura, Andrew Ware, Steve Hirshman, Wayne Houlberg, Jim Lyon Innovative Concepts Workshop Austin, Texas February

More information

Nonlinear Zonal Dynamics of Drift and Drift-Alfvén Turbulences in Tokamak Plasmas

Nonlinear Zonal Dynamics of Drift and Drift-Alfvén Turbulences in Tokamak Plasmas Nonlinear Zonal Dynamics of Drift and Drift-Alfvén Turbulences in Toama Plasmas Liu Chen, Zhihong Lin, Roscoe B. White and Fulvio Zonca Department of Physics and Astronomy, University of California, Irvine,

More information

Long Time Simulations of Microturbulence in Fusion Plasmas

Long Time Simulations of Microturbulence in Fusion Plasmas Long Time Simulations of Microturbulence in Fusion Plasmas W. W. Lee, S. Ethier, T. G. Jenkins, W. X. Wang, J. L. V. Lewandowski, G. Rewoldt, and W. M. Tang Princeton Plasma Physics Laboratory, Princeton,

More information

Studies of Turbulence and Transport in Alcator C- Mod H-Mode Plasmas with Phase Contrast Imaging and Comparisons with GYRO*

Studies of Turbulence and Transport in Alcator C- Mod H-Mode Plasmas with Phase Contrast Imaging and Comparisons with GYRO* Studies of Turbulence and Transport in C- Mod H-Mode Plasmas with Phase Contrast Imaging and Comparisons with GYRO* M. Porkolab 1, L. Lin 1, E.M. Edlund 1, J.C. Rost 1, C.L. Fiore 1, M. Greenwald 1, Y.

More information

Nonlinear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER. Mirjam Schneller

Nonlinear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER. Mirjam Schneller Nonlinear Energetic Particle Transport in the Presence of Multiple Alfvénic Waves in ITER Mirjam Schneller Acknowledgements Ph. Lauber 1, S. Briguglio 2, A. Snicker 3,1, X. Wang 1 1 Max-Planck-Institut

More information

Progress and Plans on Physics and Validation

Progress and Plans on Physics and Validation Progress and Plans on Physics and Validation T.S. Hahm Princeton Plasma Physics Laboratory Princeton, New Jersey Momentum Transport Studies: Turbulence and Neoclassical Physics Role of Trapped Electrons

More information

Characteristics of Energetic-Ion-Driven Geodesic Acoustic Modes in the Large Helical Device(LHD)

Characteristics of Energetic-Ion-Driven Geodesic Acoustic Modes in the Large Helical Device(LHD) O-4 12 th IAEA TM on Energetic Particles in Magnetic Confinement Systems, 7-10 Sep, Austin, USA Characteristics of Energetic-Ion-Driven Geodesic Acoustic Modes in the Large Helical Device(LHD) K. Toi,

More information

DPG School The Physics of ITER Physikzentrum Bad Honnef, Energy Transport, Theory (and Experiment) Clemente Angioni

DPG School The Physics of ITER Physikzentrum Bad Honnef, Energy Transport, Theory (and Experiment) Clemente Angioni Max-Planck-Institut für Plasmaphysik DPG School The Physics of ITER Physikzentrum Bad Honnef, 23.09.2014 Energy Transport, Theory (and Experiment) Clemente Angioni Special acknowledgments for material

More information

NONLINEAR MHD WAVES THE INTERESTING INFLUENCE OF FIREHOSE AND MIRROR IN ASTROPHYSICAL PLASMAS. Jono Squire (Caltech) UCLA April 2017

NONLINEAR MHD WAVES THE INTERESTING INFLUENCE OF FIREHOSE AND MIRROR IN ASTROPHYSICAL PLASMAS. Jono Squire (Caltech) UCLA April 2017 NONLINEAR MHD WAVES THE INTERESTING INFLUENCE OF FIREHOSE AND MIRROR IN ASTROPHYSICAL PLASMAS Jono Squire (Caltech) UCLA April 2017 Along with: E. Quataert, A. Schekochihin, M. Kunz, S. Bale, C. Chen,

More information

Analytic Benchmarking of the 2DX eigenvalue code

Analytic Benchmarking of the 2DX eigenvalue code Analytic Benchmarking of the 2DX eigenvalue code D. A. Baver, J. R. Myra Lodestar Research Corporation M. Umansky Lawrence Livermore National Laboratory Analytic benchmarking of the 2DX eigenvalue code

More information

Overview of Gyrokinetic Theory & Properties of ITG/TEM Instabilities

Overview of Gyrokinetic Theory & Properties of ITG/TEM Instabilities Overview of Gyrokinetic Theory & Properties of ITG/TEM Instabilities G. W. Hammett Princeton Plasma Physics Lab (PPPL) http://w3.pppl.gov/~hammett AST559: Plasma & Fluid Turbulence Dec. 5, 2011 (based

More information

Recent Developments in Theory for W7-X

Recent Developments in Theory for W7-X Recent Developments in Theory for W7-X J. NÜHRENBERG, M. DREVLAK, R. HATZKY, R. KLEIBER, A. KÖNIES, P. MERKEL, D. MONTICELLO +,C.NÜHRENBERG, A. REIMAN +,T.M.TRAN? Max-Planck-Institut für Plasmaphysik,

More information

Modeling of ELM Dynamics for ITER

Modeling of ELM Dynamics for ITER Modeling of ELM Dynamics for ITER A.Y. PANKIN 1, G. BATEMAN 1, D.P. BRENNAN 2, A.H. KRITZ 1, S. KRUGER 3, P.B. SNYDER 4 and the NIMROD team 1 Lehigh University, 16 Memorial Drive East, Bethlehem, PA 18015

More information

Nonlinear Evolution and Radial Propagation of the Energetic Particle Driven GAM

Nonlinear Evolution and Radial Propagation of the Energetic Particle Driven GAM Nonlinear Evolution and Radial Propagation of the Energetic Particle Driven GAM by R. Nazikian In collaboration with G.Y. Fu, R.V. Budny, G.J. Kramer, PPPL G.R. McKee, U. Wisconsin T. Rhodes, L. Schmidt,

More information

Formation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas )

Formation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas ) Formation and Long Term Evolution of an Externally Driven Magnetic Island in Rotating Plasmas ) Yasutomo ISHII and Andrei SMOLYAKOV 1) Japan Atomic Energy Agency, Ibaraki 311-0102, Japan 1) University

More information

Stability of a plasma confined in a dipole field

Stability of a plasma confined in a dipole field PHYSICS OF PLASMAS VOLUME 5, NUMBER 10 OCTOBER 1998 Stability of a plasma confined in a dipole field Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 Received

More information

PSFC/JA D.R. Ernst, N. Basse, W. Dorland 1, C.L. Fiore, L. Lin, A. Long 2, M. Porkolab, K. Zeller, K. Zhurovich. June 2006

PSFC/JA D.R. Ernst, N. Basse, W. Dorland 1, C.L. Fiore, L. Lin, A. Long 2, M. Porkolab, K. Zeller, K. Zhurovich. June 2006 PSFC/JA-6-34 Identification of TEM Turbulence through Direct Comparison of Nonlinear Gyrokinetic Simulations with Phase Contrast Imaging Density Fluctuation Measurements D.R. Ernst, N. Basse, W. Dorland

More information

Presentation by Herb Berk University of Texas at Austin Institute for Fusion Studies in Vienna, Austria Sept. 1-4, 2015

Presentation by Herb Berk University of Texas at Austin Institute for Fusion Studies in Vienna, Austria Sept. 1-4, 2015 Review of Theory Papers at 14 th IAEA technical meeting on Engertic Particles in Magnetic Confinement systems Presentation by Herb Berk University of Texas at Austin Institute for Fusion Studies in Vienna,

More information

Theory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus. K. C. Shaing

Theory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus. K. C. Shaing Theory for Neoclassical Toroidal Plasma Viscosity in a Toroidally Symmetric Torus K. C. Shaing Plasma and Space Science Center, and ISAPS, National Cheng Kung University, Tainan, Taiwan 70101, Republic

More information

Investigation of Intrinsic Rotation Dependencies in Alcator C-Mod

Investigation of Intrinsic Rotation Dependencies in Alcator C-Mod Investigation of Intrinsic Rotation Dependencies in Alcator C-Mod D. Kwak, A. E. White, J. E. Rice, N. T. Howard, C. Gao, M. L. Reinke, M. Greenwald, C. Angioni, R. M. McDermott, and the C-Mod and ASDEX

More information

TRANSPORT PROGRAM C-MOD 5 YEAR REVIEW MAY, 2003 PRESENTED BY MARTIN GREENWALD MIT PLASMA SCIENCE & FUSION CENTER

TRANSPORT PROGRAM C-MOD 5 YEAR REVIEW MAY, 2003 PRESENTED BY MARTIN GREENWALD MIT PLASMA SCIENCE & FUSION CENTER TRANSPORT PROGRAM C-Mod C-MOD 5 YEAR REVIEW MAY, 2003 PRESENTED BY MARTIN GREENWALD MIT PLASMA SCIENCE & FUSION CENTER C-MOD - OPPORTUNITIES AND CHALLENGES Prediction and control are the ultimate goals

More information

Self-consistent particle tracking in a simulation of the entropy mode in a Z pinch

Self-consistent particle tracking in a simulation of the entropy mode in a Z pinch Self-consistent particle tracking in a simulation of the entropy mode in a Z pinch K. Gustafson, I. Broemstrup, D. del-castillo-negrete, W. Dorland and M. Barnes Department of Physics, CSCAMM, University

More information

Hybrid Kinetic-MHD simulations Status and Updates

Hybrid Kinetic-MHD simulations Status and Updates in NIMROD simulations Status and Updates Charlson C. Kim 1,2 Yasushi Todo 2 and the NIMROD Team 1. University of Washington, Seattle 2. National Institute for Fusion Science NIMROD Team Meeting Austin,

More information

Validation of Theoretical Models of Intrinsic Torque in DIII-D and Projection to ITER by Dimensionless Scaling

Validation of Theoretical Models of Intrinsic Torque in DIII-D and Projection to ITER by Dimensionless Scaling Validation of Theoretical Models of Intrinsic Torque in DIII-D and Projection to ITER by Dimensionless Scaling by B.A. Grierson1, C. Chrystal2, W.X. Wang1, J.A. Boedo3, J.S. degrassie2, W.M. Solomon2,

More information

Electron Transport and Improved Confinement on Tore Supra

Electron Transport and Improved Confinement on Tore Supra Electron Transport and Improved Confinement on Tore Supra G. T. Hoang, C. Bourdelle, X. Garbet, T. Aniel, G. Giruzzi, M. Ottaviani. Association EURATOM-CEA. CEA-Cadarache, 38, St Paul-lez-Durance, France

More information

Energetic Particle Physics in Tokamak Burning Plasmas

Energetic Particle Physics in Tokamak Burning Plasmas Energetic Particle Physics in Tokamak Burning Plasmas presented by C. Z. (Frank) Cheng in collaboration with N. N. Gorelenkov, G. J. Kramer, R. Nazikian, E. Fredrickson, Princeton Plasma Physics Laboratory

More information

Mechanisms for ITB Formation and Control in Alcator C-Mod Identified through Gyrokinetic Simulations of TEM Turbulence

Mechanisms for ITB Formation and Control in Alcator C-Mod Identified through Gyrokinetic Simulations of TEM Turbulence th IAEA Fusion Energy Conference Vilamoura, Portugal, 1-6 November IAEA-CN-116/TH/-1 Mechanisms for ITB Formation and Control in Alcator C-Mod Identified through Gyrokinetic Simulations of TEM Turbulence

More information

Energetic particle modes: from bump on tail to tokamak plasmas

Energetic particle modes: from bump on tail to tokamak plasmas Energetic particle modes: from bump on tail to tokamak plasmas M. K. Lilley 1 B. N. Breizman 2, S. E. Sharapov 3, S. D. Pinches 3 1 Physics Department, Imperial College London, London, SW7 2AZ, UK 2 IFS,

More information

Hybrid Kinetic-MHD simulations with NIMROD

Hybrid Kinetic-MHD simulations with NIMROD in NIMROD simulations with NIMROD Charlson C. Kim 1 Dylan P. Brennan 2 Yasushi Todo 3 and the NIMROD Team 1 University of Washington, Seattle 2 University of Tulsa 3 NIFS, Toki-Japan December 2&3, 2011

More information

Nonlinear Simulation of Energetic Particle Modes in JT-60U

Nonlinear Simulation of Energetic Particle Modes in JT-60U TH/P6-7 Nonlinear Simulation of Energetic Particle Modes in JT-6U A.Bierwage,N.Aiba 2, K.Shinohara 2, Y.Todo 3,W.Deng 4,M.Ishikawa 2,G.Matsunaga 2 and M. Yagi Japan Atomic Energy Agency (JAEA), Rokkasho,

More information

Turbulence in Tokamak Plasmas

Turbulence in Tokamak Plasmas ASDEX Upgrade Turbulence in Tokamak Plasmas basic properties and typical results B. Scott Max Planck Institut für Plasmaphysik Euratom Association D-85748 Garching, Germany Uni Innsbruck, Nov 2011 Basics

More information

MHD Analysis of the Tokamak Edge Pedestal in the Low Collisionality Regime Thoughts on the Physics of ELM-free QH and RMP Discharges

MHD Analysis of the Tokamak Edge Pedestal in the Low Collisionality Regime Thoughts on the Physics of ELM-free QH and RMP Discharges MHD Analysis of the Tokamak Edge Pedestal in the Low Collisionality Regime Thoughts on the Physics of ELM-free QH and RMP Discharges P.B. Snyder 1 Contributions from: H.R. Wilson 2, D.P. Brennan 1, K.H.

More information

Experiments with a Supported Dipole

Experiments with a Supported Dipole Experiments with a Supported Dipole Reporting Measurements of the Interchange Instability Excited by Electron Pressure and Centrifugal Force Introduction Ben Levitt and Dmitry Maslovsky Collisionless Terrella

More information

Entropy evolution and dissipation in collisionless particle-in-cell gyrokinetic simulations

Entropy evolution and dissipation in collisionless particle-in-cell gyrokinetic simulations Max-Planck-Insititut für Plasmaphysik Entropy evolution and dissipation in collisionless particle-in-cell gyrokinetic simulations A. Bottino Objectives Develop a numerical tool able to reproduce and predict

More information

NSTX. Investigation of electron gyro-scale fluctuations in the National Spherical Torus Experiment. David Smith. Advisor: Ernesto Mazzucato

NSTX. Investigation of electron gyro-scale fluctuations in the National Spherical Torus Experiment. David Smith. Advisor: Ernesto Mazzucato NSTX Supported by Investigation of electron gyro-scale fluctuations in the National Spherical Torus Experiment David Smith Advisor: Ernesto Mazzucato Final public oral exam February 26, 2009 Investigation

More information

Verification and validation of integrated simulation of energetic particles in fusion plasmas I: linear simulations

Verification and validation of integrated simulation of energetic particles in fusion plasmas I: linear simulations Verification and validation of integrated simulation of energetic particles in fusion plasmas I: linear simulations S. Taimourzadeh 1, E. M. Bass 2, Y. Chen 3, C. Collins 4, N. N. Gorelenkov 5, A. Könies

More information

Spectroscopic determination of the internal amplitude of frequency sweeping TAE

Spectroscopic determination of the internal amplitude of frequency sweeping TAE INSTITUTE OF PHYSICS PUBLISHING Plasma Phys. Control. Fusion 46 (2004) S47 S57 PLASMA PHYSICS AND CONTROLLED FUSION PII: S0741-3335(04)72680-9 Spectroscopic determination of the internal amplitude of frequency

More information

Turbulent Transport due to Kinetic Ballooning Modes in High-Beta Toroidal Plasmas

Turbulent Transport due to Kinetic Ballooning Modes in High-Beta Toroidal Plasmas 1 TH/P-3 Turbulent Transport due to Kinetic allooning Modes in High-eta Toroidal Plasmas A. Ishizawa 1, S. Maeyama, T.-H. Watanabe 1, H. Sugama 1 and N. Nakajima 1 1 National Institute for Fusion Science,

More information

Comparison of Kinetic and Extended MHD Models for the Ion Temperature Gradient Instability in Slab Geometry

Comparison of Kinetic and Extended MHD Models for the Ion Temperature Gradient Instability in Slab Geometry Comparison of Kinetic and Extended MHD Models for the Ion Temperature Gradient Instability in Slab Geometry D. D. Schnack University of Wisconsin Madison Jianhua Cheng, S. E. Parker University of Colorado

More information

Damping and drive of low frequency modes in tokamak plasmas

Damping and drive of low frequency modes in tokamak plasmas Damping and drive of low frequency modes in tokamak plasmas Ph. Lauber, S. Günter Max-Planck-Institut für Plasmaphysik, EURATOM-Association, Garching, Germany E-mail: Philipp.Lauber@ipp.mpg.de Abstract.

More information