Verification & Validation: application to the TORPEX basic plasma physics experiment

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Verification & Validation: application to the TORPEX basic plasma physics experiment"

Transcription

1 Verification & Validation: application to the TORPEX basic plasma physics experiment Paolo Ricci F. Avino, A. Bovet, A. Fasoli, I. Furno, S. Jolliet, F. Halpern, J. Loizu, A. Mosetto, F. Riva, C. Theiler, C. Wersal Centre de Recherches en Physique des Plasmas École Polytechnique Fédérale de Lausanne, Switzerland What does Verification & Validation mean? What is TORPEX? And the simulation code we use? What verification methodology did we use? and validation methodology? What have we learned?

2 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

3 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

4 The TORPEX device

5 The TORPEX device

6 The TORPEX device

7 The TORPEX device

8 The TORPEX device

9 Key elements of the TORPEX device Plasma gradients Source (EC and UH resonance) Parallel losses Magnetic curvature

10 TORPEX: an ideal verification & validation testbed - Complete set of diagnostics, full plasma imaging possible - Parameter scan, N number of field line turns Example: N=2

11 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

12 Properties of TORPEX turbulence n fluc ~ n eq L eq ~ L fluc L >> " i Collisional

13 The model Collisional Plasma Braginskii model ρ i << L, ω << Ω ci, β << 1 Electrostatic Drift-reduced Braginskii equations Convection n T e, Ω (vorticity) V e, V i! "2! = # Magnetic curvature similar equations parallel momentum balance Parallel dynamics Quasi steady state balance between: plasma source, perpendicular transport, and parallel losses Source t +[φ,n]=ĉ(nt e) nĉ(φ) (nv e )+S

14 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

15 Theof GBS code, aturbulence tool to simulate line turbulenc GBS: simulation plasma in open edgefield conditions Developed by steps of increasing complexity Limited SOL Limited SOL ITER-like SOL Drift-reduced Braginskii equations Global, 3D, Flux-driven, Full-n LAPD, UCLA HelCat, UNM J. Loizu et al. 13 / 24 TORPEX, CRPP [Ricci et al PPCF 2012] The role of the sheath in magnetized plasma fluid turbulence Helimak, UTexas

16 3D and 2D GBS simulations Fully 3D version 2D version (k =0 hypothesis) z r z r

17 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

18 Code verification, the techniques 1) Simple tests 2) Code-to-code comparisons (benchmarking) 3) Discretization error quantification 4) Convergence tests 5) Order-of-accuracy tests NOT RIGOROUS RIGOROUS, requires analytical solution Only verification ensuring convergence and correct numerical implementation

19 Order-of-accuracy tests, method of manufactured solution A(f) =0 Our model:, f unknown? We solve A n (f n )=0, but n = f n f = Method of manufactured solution: 1) we choose g, then For GBS: h 2 ɛ 10 5 S = A(g) 2) we solve: A n (g n ) S =0 n = g n g n T v,i v,e ω Φ h = x/ x 0 = y/ y 0 =( t/ t 0 ) 2

20 Verification & Validation REALITY MEASUREMENT VALIDATION EXPERIMENT COMPUTATION ANALYSIS SIMULATION CODE DISCRETIZATION & CODING MODEL VERIFICATION

21 Our project, paradigm of turbulence code validation TORPEX? 3D GBS model 2D reduced model What is the agreement of experiment and simulations as a function of N? Is 3D necessary? What can we learn on TORPEX physics from the validation?

22 The validation methodology [Based on ideas of Terry et al., PoP 2008; Greenwald, PoP 2010] What quantities can we use for validation? The more, the better - Definition & evaluation of the validation observables What are the uncertainties affecting measured and simulation data? - Uncertainty analysis For one observable, within its uncertainties, what is the level of agreement? - Level of agreement for an individual observable How directly can an observable be extracted from simulation and experimental data? How worthy is it, i.e. what should be its weight in a composite metric? - The observable hierarchy How to evaluate the global agreement and how to interpret it - Composite metric

23 Definition of the validation observables? Common quantities Isat Vfloat I-V Probe model, assumptions Validation observables Probe model, assumptions to be compared - Examples: Isat t, n t, Γ,... - A validation observable should not be a function of the others - Quantities to predict should be included among the observables n Te ϕ V i V e

24 Evaluation of the validation observables We evaluate 11 observables: Examples n [m -3 ] low N n(r) t T e (r) t I sat (r) t δi sat /I sat k v PDF(I sat )... experiment 3D 2D δi sat /I sat high N low N high N

25 Experiment Uncertainty analysis x 2 = x 2 fit + x 2 prb + x 2 rep + x 2 fin Simulation I-V Fitting Probe properties, measurement uncertainties Plasma reproducibility Finite statistics y 2 = y 2 num + y 2 inp + y 2 fin Numerics Input parameters - scan in resistivity and boundary conditions Finite statistics

26 Agreement with respect to an individual observable Distance: Experimental measurements d = Average over all points 1 G G i=1 (x i y i ) 2 x 2 i + y2 i Simulation results Normalization to uncertainties Level of agreement: R = tanh[(d d 0)/λ]+1 2 R DISAGREEMENT AGREEMENT WITHIN UNCERTAINTY d 0 =1.5 λ = d AGREEMENT

27 Observable hierarchy Not all the observables are equally worthy The hierarchy assesses the assumptions used for their deduction h exp : h sim : # of assumptions to get the observable from experimental data same for simulation results h = h exp + h sim Examples: - n : h exp = 1, h sim t = 0, h = 1 Γ Isat - : h exp = 2, h sim = 1, h = 3

28 Composite metric Level of agreement R j = tanh[(d j d 0 )/λ]+1 2 Sum over all the observables Hierarchy level H j =1/(h j + 1) Sensitivity Normalization: - χ = 0: perfect agreement - χ = 0.5: agreement within uncertainty - χ = 1: total disagreement 28

29 The validation results 1 Complete disagreement 0.8 2D simulations D simulations Agreement within uncertainty N Perfect agreement Why 2D and 3D work equally well at low N and 2D fails at high N? What can we learn on the TORPEX physics?

30 Flute instabilities - ideal interchange mode k =0 n + T e eqs. Vorticity eq. 2 φ t i = 2B cm i Rn p e y p e t = c B [φ,p e] γ p e = ik y p e0c φ/b γ = γ I γ I = c s 2 L p R Compressibility stabilizes the mode at k v ρ s > 0.3γ I R/c s

31 Anatomy of a k =0 perturbation N =2 = L v /N L v λ v : longest possible vertical wavelength of a perturbation If k =0 then λ v = = L v N

32 TORPEX shows k =0 turbulence at low N! k =0 (λ v = L v /N ) Ideal interchange regime L v λ v L v λ v = N N

33 ! For N~1-6, ideal!! k =0! interchange modes dominant! N=2!

34 Turbulence changes character at N>7! 8 k =0 L v λ v k =0 WHY? (λ v = L v ) 0 λ v = L v N

35 At high N>7, Resistive Interchange Mode turbulence Toroidally symmetric λ v L v Introducing modes k =0 k stabilization, requires high N and η =0 γ 2 = γ 2 I γ 4πV 2 A k2 η c 2 k 2 y, γ I = c s 2 RL p

36 Why does TORPEX transition from ideal to resistive interchange for large N? N! Resistive interchange requires high N Ideal interchange requires low N: λ v = L v N thus k v = 2πN L v stable: k v ρ s > 0.3Rγ I /c s Threshold: N~10 in TORPEX

37 Interpretation of the validation results D D N k =0 - Ideal interchange turbulence - 2D model appropriate k =0 - Resistive interchange turbulence - 2D model not appropriate

38 Where can a verification & validation exercise help? 1. Make sure that the code works correctly Correct GBS implementation, rigorously, discretization error estimate 2. Compare codes 2D and 3D simulations agree with experimental measurements similarly at low N. Global 3D simulations are needed to describe the plasma dynamics at high N. 3. Let the physics emerge Two turbulent regimes: ideal interchange mode at low N and non-flute modes at high N. Parameter scans have a crucial role 4. Assess the predictive capabilities of a code 3D simulations predict (within uncertainty) profiles of n but not of I sat 38

39 What comes next? - Validation at each code refinement - Considering more observables - Involving more codes Limited SOL LAPD, UCLA HelCat, UNM TORPEX, CRPP Helimak, UTexas ITER-like SOL

40 What comes next? Validation on a recently achieved SOL-like configuration in TORPEX Limited SOL LAPD, UCLA HelCat, UNM TORPEX, CRPP Helimak, UTexas ITER-like SOL

41 Where can a verification & validation exercise help? 1. Make sure that the code works correctly Rigorously, with discretization error estimate 2. Compare codes 2D and 3D simulations agree with experimental measurements similarly at low N. Global 3D simulations are needed to describe the plasma dynamics at high N. 3. Let the physics emerge Two turbulent regimes: ideal interchange mode at low N and non-flute modes at high N. Parameter scans have a crucial role 4. Assess the predictive capabilities of a code 3D simulations predict (within uncertainty) profiles of n but not of I sat 41

42 Future work Missing ingredients for a complete description Use of more diagnostics: Mach probes, Triple probes or Bdot probes to compare other of plasma dynamics in TORPEX: interesting observables. Better source modeling Physics of neutrals Better boundary conditions 42

43 V&V A validation project requires a four step procedure: (i) Model qualification (ii) Code verification (iii) Definition and classification of observables (iv) Quantification of agreement 43

44

A kinetic neutral atom model for tokamak scrape-off layer tubulence simulations. Christoph Wersal, Paolo Ricci, Federico Halpern, Fabio Riva

A kinetic neutral atom model for tokamak scrape-off layer tubulence simulations. Christoph Wersal, Paolo Ricci, Federico Halpern, Fabio Riva A kinetic neutral atom model for tokamak scrape-off layer tubulence simulations Christoph Wersal, Paolo Ricci, Federico Halpern, Fabio Riva CRPP - EPFL SPS Annual Meeting 2014 02.07.2014 CRPP The tokamak

More information

Impact of neutral atoms on plasma turbulence in the tokamak edge region

Impact of neutral atoms on plasma turbulence in the tokamak edge region Impact of neutral atoms on plasma turbulence in the tokamak edge region C. Wersal P. Ricci, F.D. Halpern, R. Jorge, J. Morales, P. Paruta, F. Riva Theory of Fusion Plasmas Joint Varenna-Lausanne International

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

C-Mod Core Transport Program. Presented by Martin Greenwald C-Mod PAC Feb. 6-8, 2008 MIT Plasma Science & Fusion Center

C-Mod Core Transport Program. Presented by Martin Greenwald C-Mod PAC Feb. 6-8, 2008 MIT Plasma Science & Fusion Center C-Mod Core Transport Program Presented by Martin Greenwald C-Mod PAC Feb. 6-8, 2008 MIT Plasma Science & Fusion Center Practical Motivations for Transport Research Overall plasma behavior must be robustly

More information

Analysis and modelling of MHD instabilities in DIII-D plasmas for the ITER mission

Analysis and modelling of MHD instabilities in DIII-D plasmas for the ITER mission Analysis and modelling of MHD instabilities in DIII-D plasmas for the ITER mission by F. Turco 1 with J.M. Hanson 1, A.D. Turnbull 2, G.A. Navratil 1, C. Paz-Soldan 2, F. Carpanese 3, C.C. Petty 2, T.C.

More information

Low-frequency linear-mode regimes in the tokamak scrape-off layer

Low-frequency linear-mode regimes in the tokamak scrape-off layer Low-frequency linear-mode regimes in the tokamak scrape-off layer Annamaria Mosetto, Federico D. Halpern, Sébastien Jolliet, and Paolo Ricci Citation: Phys. Plasmas 19, 112103 (2012); doi: 10.1063/1.4758809

More information

Heat Transport in a Stochastic Magnetic Field. John Sarff Physics Dept, UW-Madison

Heat Transport in a Stochastic Magnetic Field. John Sarff Physics Dept, UW-Madison Heat Transport in a Stochastic Magnetic Field John Sarff Physics Dept, UW-Madison CMPD & CMSO Winter School UCLA Jan 5-10, 2009 Magnetic perturbations can destroy the nested-surface topology desired for

More information

Toroidal confinement devices

Toroidal confinement devices Toroidal confinement devices Dr Ben Dudson Department of Physics, University of York, Heslington, York YO10 5DD, UK 24 th January 2014 Dr Ben Dudson Magnetic Confinement Fusion (1 of 20) Last time... Power

More information

Fluctuation statistics in the scrape-off layer of Alcator C-Mod

Fluctuation statistics in the scrape-off layer of Alcator C-Mod Fluctuation statistics in the scrape-off layer of Alcator C-Mod R. Kube, O. E. Garcia, B. LaBombard, and J. L. Terry We study long time series of the ion saturation current and floating potential, obtained

More information

Gyrokinetic Transport Driven by Energetic Particle Modes

Gyrokinetic Transport Driven by Energetic Particle Modes Gyrokinetic Transport Driven by Energetic Particle Modes by Eric Bass (General Atomics) Collaborators: Ron Waltz, Ming Chu GSEP Workshop General Atomics August 10, 2009 Outline I. Background Alfvén (TAE/EPM)

More information

INTRODUCTION TO GYROKINETIC AND FLUID SIMULATIONS OF PLASMA TURBULENCE AND OPPORTUNITES FOR ADVANCED FUSION SIMULATIONS

INTRODUCTION TO GYROKINETIC AND FLUID SIMULATIONS OF PLASMA TURBULENCE AND OPPORTUNITES FOR ADVANCED FUSION SIMULATIONS INTRODUCTION TO GYROKINETIC AND FLUID SIMULATIONS OF PLASMA TURBULENCE AND OPPORTUNITES FOR ADVANCED FUSION SIMULATIONS G.W. Hammett, Princeton Plasma Physics Lab w3.pppl.gov/ hammett Fusion Simulation

More information

Production of Over-dense Plasmas by Launching. 2.45GHz Electron Cyclotron Waves in a Helical Device

Production of Over-dense Plasmas by Launching. 2.45GHz Electron Cyclotron Waves in a Helical Device Production of Over-dense Plasmas by Launching 2.45GHz Electron Cyclotron Waves in a Helical Device R. Ikeda a, M. Takeuchi a, T. Ito a, K. Toi b, C. Suzuki b, G. Matsunaga c, S. Okamura b, and CHS Group

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

Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations.

Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations. Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations. M. Becoulet 1, F. Orain 1, G.T.A. Huijsmans 2, P. Maget 1, N. Mellet 1, G. Dif-Pradalier 1, G. Latu 1, C. Passeron

More information

Divertor Detachment on TCV

Divertor Detachment on TCV Divertor Detachment on TCV R. A. Pitts, Association EURATOM-Confédération Suisse,, CH- LAUSANNE, Switzerland thanks to A. Loarte a, B. P. Duval, J.-M. Moret, J. A. Boedo b, L. Chousal b, D. Coster c, G.

More information

Effect of ExB Driven Transport on the Deposition of Carbon in the Outer Divertor of. ASDEX Upgrade

Effect of ExB Driven Transport on the Deposition of Carbon in the Outer Divertor of. ASDEX Upgrade Association Euratom-Tekes ASDEX Upgrade Effect of ExB Driven Transport on the Deposition of Carbon in the Outer Divertor of ASDEX Upgrade L. Aho-Mantila 1,2, M. Wischmeier 3, K. Krieger 3, V. Rohde 3,

More information

Direct drive by cyclotron heating can explain spontaneous rotation in tokamaks

Direct drive by cyclotron heating can explain spontaneous rotation in tokamaks Direct drive by cyclotron heating can explain spontaneous rotation in tokamaks J. W. Van Dam and L.-J. Zheng Institute for Fusion Studies University of Texas at Austin 12th US-EU Transport Task Force Annual

More information

Models for Global Plasma Dynamics

Models for Global Plasma Dynamics Models for Global Plasma Dynamics F.L. Waelbroeck Institute for Fusion Studies, The University of Texas at Austin International ITER Summer School June 2010 Outline 1 Models for Long-Wavelength Plasma

More information

Magnetic reconnection, merging flux ropes, 3D effects in RSX

Magnetic reconnection, merging flux ropes, 3D effects in RSX Magnetic reconnection, merging flux ropes, 3D effects in RSX T. Intrator P-24 I. Furno, E. Hemsing, S. Hsu, + many students G.Lapenta, P.Ricci T-15 Plasma Theory Second Workshop on Thin Current Sheets

More information

Physics basis for similarity experiments on power exhaust between JET and ASDEX Upgrade with tungsten divertors

Physics basis for similarity experiments on power exhaust between JET and ASDEX Upgrade with tungsten divertors Physics basis for similarity experiments on power exhaust between JET and ASDEX Upgrade with tungsten divertors S. Wiesen, T. Eich, M. Bernert, S. Brezinsek, C. Giroud, E. Joffrin, A. Kallenbach, C. Lowry,

More information

MHD RELATED TO 2-FLUID THEORY, KINETIC THEORY AND MAGANETIC RECONNECTION

MHD RELATED TO 2-FLUID THEORY, KINETIC THEORY AND MAGANETIC RECONNECTION MHD RELATED TO 2-FLUID THEORY, KINETIC THEORY AND MAGANETIC RECONNECTION Marty Goldman University of Colorado Spring 2017 Physics 5150 Issues 2 How is MHD related to 2-fluid theory Level of MHD depends

More information

Introduction to Fusion Physics

Introduction to Fusion Physics Introduction to Fusion Physics Hartmut Zohm Max-Planck-Institut für Plasmaphysik 85748 Garching DPG Advanced Physics School The Physics of ITER Bad Honnef, 22.09.2014 Energy from nuclear fusion Reduction

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

Tokamak Edge Turbulence background theory and computation

Tokamak Edge Turbulence background theory and computation ASDEX Upgrade Tokamak Edge Turbulence background theory and computation B. Scott Max Planck Institut für Plasmaphysik Euratom Association D-85748 Garching, Germany Krakow, Sep 2006 Outline Basic Concepts

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

Beams and magnetized plasmas

Beams and magnetized plasmas Beams and magnetized plasmas 1 Jean-Pierre BOEUF LAboratoire PLAsma et Conversion d Energie LAPLACE/ CNRS, Université Paul SABATIER, TOULOUSE Beams and magnetized plasmas 2 Outline Ion acceleration and

More information

Hybrid Simulations: Numerical Details and Current Applications

Hybrid Simulations: Numerical Details and Current Applications Hybrid Simulations: Numerical Details and Current Applications Dietmar Krauss-Varban and numerous collaborators Space Sciences Laboratory, UC Berkeley, USA Boulder, 07/25/2008 Content 1. Heliospheric/Space

More information

Divertor power deposition and target current asymmetries during type-i ELMs in ASDEX Upgrade and JET

Divertor power deposition and target current asymmetries during type-i ELMs in ASDEX Upgrade and JET Journal of Nuclear Materials 363 365 (2007) 989 993 www.elsevier.com/locate/jnucmat Divertor power deposition and target current asymmetries during type-i ELMs in ASDEX Upgrade and JET T. Eich a, *, A.

More information

Turbulence bursts probing of transport barriers analyzed in terms of competing stochastic processes

Turbulence bursts probing of transport barriers analyzed in terms of competing stochastic processes Author manuscript, published in "Plasma Phys. Control. Fusion 55, 9 (013) 09501" DOI : 10.1088/071-3335/55/9/09501 Turbulence bursts probing of transport barriers analyzed in terms of competing stochastic

More information

Momentum transport from magnetic reconnection in laboratory an. plasmas. Fatima Ebrahimi

Momentum transport from magnetic reconnection in laboratory an. plasmas. Fatima Ebrahimi Momentum transport from magnetic reconnection in laboratory and astrophysical plasmas Space Science Center - University of New Hampshire collaborators : V. Mirnov, S. Prager, D. Schnack, C. Sovinec Center

More information

Lecture notes on Waves/Spectra Noise, Correlations and.

Lecture notes on Waves/Spectra Noise, Correlations and. Lecture notes on Waves/Spectra Noise, Correlations and. References: Random Data 3 rd Ed, Bendat and Piersol,Wiley Interscience Beall, Kim and Powers, J. Appl. Phys, 53, 3923 (982) W. Gekelman Lecture 6,

More information

Measuring from electron temperature fluctuations in the Tokamak Fusion Test Reactor

Measuring from electron temperature fluctuations in the Tokamak Fusion Test Reactor PHYSICS OF PLASMAS VOLUME 5, NUMBER FEBRUARY 1998 Measuring from electron temperature fluctuations in the Tokamak Fusion Test Reactor C. Ren, a) J. D. Callen, T. A. Gianakon, and C. C. Hegna University

More information

Rotation and Neoclassical Ripple Transport in ITER

Rotation and Neoclassical Ripple Transport in ITER Rotation and Neoclassical Ripple Transport in ITER Elizabeth J. Paul 1 Matt Landreman 1 Francesca Poli 2 Don Spong 3 Håkan Smith 4 William Dorland 1 1 University of Maryland 2 Princeton Plasma Physics

More information

Conditions for diffusive penetration of plasmoids across magnetic barriers

Conditions for diffusive penetration of plasmoids across magnetic barriers Abstract Contribution to the 12 th ICPP, NICE, 25-29 October 2004 Conditions for diffusive penetration of plasmoids across magnetic barriers N. Brenning, T. Hurtig, and M. A. Raadu Alfvén Laboratory, Royal

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

Tokamak Fusion Basics and the MHD Equations

Tokamak Fusion Basics and the MHD Equations MHD Simulations for Fusion Applications Lecture 1 Tokamak Fusion Basics and the MHD Equations Stephen C. Jardin Princeton Plasma Physics Laboratory CEMRACS 1 Marseille, France July 19, 21 1 Fusion Powers

More information

EXAMINATION QUESTION PAPER

EXAMINATION QUESTION PAPER Faculty of Science and Technology EXAMINATION QUESTION PAPER Exam in: Fys-2009 Introduction to Plasma Physics Date: 20161202 Time: 09.00-13.00 Place: Åsgårdvegen 9 Approved aids: Karl Rottmann: Matematisk

More information

Particle Transport and Density Gradient Scale Lengths in the Edge Pedestal

Particle Transport and Density Gradient Scale Lengths in the Edge Pedestal Particle Transport and Density Gradient Scale Lengths in the Edge Pedestal W. M. Stacey Fusion Research Center, Georgia Institute of Technology, Atlanta, GA, USA Email: weston.stacey@nre.gatech.edu Abstract

More information

Progress in characterization of the H-mode pedestal

Progress in characterization of the H-mode pedestal Journal of Physics: Conference Series Progress in characterization of the H-mode pedestal To cite this article: A W Leonard 2008 J. Phys.: Conf. Ser. 123 012001 View the article online for updates and

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

The RFP: Plasma Confinement with a Reversed Twist

The RFP: Plasma Confinement with a Reversed Twist The RFP: Plasma Confinement with a Reversed Twist JOHN SARFF Department of Physics University of Wisconsin-Madison Invited Tutorial 1997 Meeting APS DPP Pittsburgh Nov. 19, 1997 A tutorial on the Reversed

More information

The Field-Reversed Configuration (FRC) is a high-beta compact toroidal in which the external field is reversed on axis by azimuthal plasma The FRC is

The Field-Reversed Configuration (FRC) is a high-beta compact toroidal in which the external field is reversed on axis by azimuthal plasma The FRC is and Stability of Field-Reversed Equilibrium with Toroidal Field Configurations Atomics General Box 85608, San Diego, California 92186-5608 P.O. APS Annual APS Meeting of the Division of Plasma Physics

More information

A first-principles self-consistent model of plasma turbulence and kinetic neutral dynamics in the tokamak scrape-off layer

A first-principles self-consistent model of plasma turbulence and kinetic neutral dynamics in the tokamak scrape-off layer A first-principles self-consistent model of plasma turbulence and kinetic neutral dynamics in the tokamak scrape-off layer C Wersal and P Ricci Ecole Polytechnique Fédérale de Lausanne (EPFL), Swiss Plasma

More information

Lecture IV: Magnetized plasma stability

Lecture IV: Magnetized plasma stability Outline Lecture IV: Magnetized plasma stability Wojciech Fundamenski UKAEA Fusion, Culham Science Centre, Abingdon and Plasma Physics Group, Imperial College, London 22nd May 2009 Outline Part I: 1 Hydrodynamic

More information

arxiv: v1 [physics.plasm-ph] 14 Jan 2009

arxiv: v1 [physics.plasm-ph] 14 Jan 2009 arxiv:0901.2043v1 [physics.plasm-ph] 14 Jan 2009 Effectsofparallel ion motion onzonal flowgeneration in ion-temperature-gradient mode turbulence J. Anderson 1, J. Li, Y. Kishimoto Department of Fundamental

More information

On the Nature of ETG Turbulence and Cross-Scale Coupling

On the Nature of ETG Turbulence and Cross-Scale Coupling J. Plasma Fusion Res. SERIES, Vol. Vol. 6 6 (2004) (2004) 11 16 000 000 On the Nature of ETG Turbulence and Cross-Scale Coupling JENKO Frank Max-Planck-Institut für Plasmaphysik, EURATOM-Association, D-85748

More information

arxiv:physics/ v1 [physics.plasm-ph] 5 Nov 2004

arxiv:physics/ v1 [physics.plasm-ph] 5 Nov 2004 Ion Resonance Instability in the ELTRAP electron plasma G. Bettega, 1 F. Cavaliere, 2 M. Cavenago, 3 A. Illiberi, 1 R. Pozzoli, 1 and M. Romé 1 1 INFM Milano Università, INFN Sezione di Milano, Dipartimento

More information

Introduction to Magnetohydrodynamics (MHD)

Introduction to Magnetohydrodynamics (MHD) Introduction to Magnetohydrodynamics (MHD) Tony Arber University of Warwick 4th SOLARNET Summer School on Solar MHD and Reconnection Aim Derivation of MHD equations from conservation laws Quasi-neutrality

More information

14. Energy transport.

14. Energy transport. Phys780: Plasma Physics Lecture 14. Energy transport. 1 14. Energy transport. Chapman-Enskog theory. ([8], p.51-75) We derive macroscopic properties of plasma by calculating moments of the kinetic equation

More information

down distribution. The present study is dedicated to the transport of fast particles produced by usual core plasma microinstabilities, like ion temper

down distribution. The present study is dedicated to the transport of fast particles produced by usual core plasma microinstabilities, like ion temper Gyrokinetic calculations of diffusive and convective transport of ff particles with a slowing down distribution function C. Angioni and A.G. Peeters y Max-Planck-Institut für Plasmaphysik, IPP-EURATOM

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

Magnetic Deflection of Ionized Target Ions

Magnetic Deflection of Ionized Target Ions Magnetic Deflection of Ionized Target Ions D. V. Rose, A. E. Robson, J. D. Sethian, D. R. Welch, and R. E. Clark March 3, 005 HAPL Meeting, NRL Solid wall, magnetic deflection 1. Cusp magnetic field imposed

More information

Electromagneic Waves in a non- Maxwellian Dusty Plasma

Electromagneic Waves in a non- Maxwellian Dusty Plasma Electromagneic Waves in a non- Maxwellian Dusty Plasma Nazish Rubab PhD student, KF University Graz IWF-OEAW Graz 26 January, 2011 Layout Dusty Plasma Non-Maxwellian Plasma Kinetic Alfven Waves Instability

More information

Integration of Fokker Planck calculation in full wave FEM simulation of LH waves

Integration of Fokker Planck calculation in full wave FEM simulation of LH waves Integration of Fokker Planck calculation in full wave FEM simulation of LH waves O. Meneghini S. Shiraiwa R. Parker 51 st DPP APS, Atlanta November 4, 29 L H E A F * Work supported by USDOE awards DE-FC2-99ER54512

More information

Low Temperature Plasma Technology Laboratory

Low Temperature Plasma Technology Laboratory Low Temperature Plasma Technology Laboratory Equilibrium theory for plasma discharges of finite length Francis F. Chen and Davide Curreli LTP-6 June, Electrical Engineering Department Los Angeles, California

More information

Langmuir Probes as a Diagnostic to Study Plasma Parameter Dependancies, and Ion Acoustic Wave Propogation

Langmuir Probes as a Diagnostic to Study Plasma Parameter Dependancies, and Ion Acoustic Wave Propogation Langmuir Probes as a Diagnostic to Study Plasma Parameter Dependancies, and Ion Acoustic Wave Propogation Kent Lee, Dean Henze, Patrick Smith, and Janet Chao University of San Diego (Dated: May 1, 2013)

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

ELM filament heat loads on plasma facing components in JET and ITER

ELM filament heat loads on plasma facing components in JET and ITER 1 filament heat loads on plasma facing components in JET and ITER 1. Fundamenski, R.A.Pitts, 1 G.Arnoux, 3 M.Jakubowski, A.Loarte, 1 M.Beurskens and JET EFDA contributors 1 Euratom/UKAEA Fusion Association,

More information

PROBLEM SET. Heliophysics Summer School. July, 2013

PROBLEM SET. Heliophysics Summer School. July, 2013 PROBLEM SET Heliophysics Summer School July, 2013 Problem Set for Shocks and Particle Acceleration There is probably only time to attempt one or two of these questions. In the tutorial session discussion

More information

Weibel Instability in a Bi-Maxwellian Laser Fusion Plasma

Weibel Instability in a Bi-Maxwellian Laser Fusion Plasma 1 IFP7-23 Weibel Instability in a Bi-Maxwellian Laser Fusion Plasma A. Sid 1), A. Ghezal 2), A. Soudani 3), M. Bekhouche 1) 1) Laboratoire de Physique des Rayonnements et leur interaction avec la Matière

More information

Measurement of wakefields in hollow plasma channels Carl A. Lindstrøm (University of Oslo)

Measurement of wakefields in hollow plasma channels Carl A. Lindstrøm (University of Oslo) Measurement of wakefields in hollow plasma channels Carl A. Lindstrøm (University of Oslo) in collaboration with Spencer Gessner (CERN) presented by Erik Adli (University of Oslo) FACET-II Science Workshop

More information

Scaling laws for planetary dynamos driven by helical waves

Scaling laws for planetary dynamos driven by helical waves Scaling laws for planetary dynamos driven by helical waves P. A. Davidson A. Ranjan Cambridge What keeps planetary magnetic fields alive? (Earth, Mercury, Gas giants) Two ingredients of the early theories:

More information

Solar Flare. A solar flare is a sudden brightening of solar atmosphere (photosphere, chromosphere and corona)

Solar Flare. A solar flare is a sudden brightening of solar atmosphere (photosphere, chromosphere and corona) Solar Flares Solar Flare A solar flare is a sudden brightening of solar atmosphere (photosphere, chromosphere and corona) Flares release 1027-1032 ergs energy in tens of minutes. (Note: one H-bomb: 10

More information

Integrated Simulation of ELM Energy Loss and Cycle in Improved H-mode Plasmas

Integrated Simulation of ELM Energy Loss and Cycle in Improved H-mode Plasmas 1 Integrated Simulation of ELM Energy Loss and Cycle in Improved H-mode Plasmas N. Hayashi 1), T. Takizuka 1), N. Aiba 1), N. Oyama 1), T. Ozeki 1), S. Wiesen 2), V. Parail 3) 1) Japan Atomic Energy Agency,

More information

STABILIZATION OF m=2/n=1 TEARING MODES BY ELECTRON CYCLOTRON CURRENT DRIVE IN THE DIII D TOKAMAK

STABILIZATION OF m=2/n=1 TEARING MODES BY ELECTRON CYCLOTRON CURRENT DRIVE IN THE DIII D TOKAMAK GA A24738 STABILIZATION OF m=2/n=1 TEARING MODES BY ELECTRON CYCLOTRON CURRENT DRIVE IN THE DIII D TOKAMAK by T.C. LUCE, C.C. PETTY, D.A. HUMPHREYS, R.J. LA HAYE, and R. PRATER JULY 24 DISCLAIMER This

More information

Statistical analysis of fluctuations in the Alcator C-Mod scrape-off layer

Statistical analysis of fluctuations in the Alcator C-Mod scrape-off layer FACULTY OF SCIENCE AND TECHNOLOGY DEPARTMENT OF PHYSICS AND TECHNOLOGY Statistical analysis of fluctuations in the Alcator C-Mod scrape-off layer Sindre Markus Fritzner FYS-39 Master s Thesis in Physics

More information

Lecture # 3. Introduction to Kink Modes the Kruskal- Shafranov Limit.

Lecture # 3. Introduction to Kink Modes the Kruskal- Shafranov Limit. Lecture # 3. Introduction to Kink Modes the Kruskal- Shafranov Limit. Steve Cowley UCLA. This lecture is meant to introduce the simplest ideas about kink modes. It would take many lectures to develop the

More information

Simulations of Sawteeth in CTH. Nicholas Roberds August 15, 2015

Simulations of Sawteeth in CTH. Nicholas Roberds August 15, 2015 Simulations of Sawteeth in CTH Nicholas Roberds August 15, 2015 Outline Problem Description Simulations of a small tokamak Simulations of CTH 2 Sawtoothing Sawtoothing is a phenomenon that is seen in all

More information

Compact Muon Solenoid Surapat Ek-In École Polytechnique Fédérale de Lausanne

Compact Muon Solenoid Surapat Ek-In École Polytechnique Fédérale de Lausanne Compact Muon Solenoid Surapat Ek-In École Polytechnique Fédérale de Lausanne Outline Introduction Electromagnetic Calorimeter Muon Chamber Application Conclusion Outline 2 LHC Experiments ~ 100 m https://cms.cern.ch/

More information

Characteristics of Positive Ions in the Sheath Region of Magnetized Collisional Electronegative Discharges

Characteristics of Positive Ions in the Sheath Region of Magnetized Collisional Electronegative Discharges Plasma Science and Technology, Vol.6, No.6, Jun. 204 Characteristics of Positive Ions in the Sheath Region of Magnetized Collisional Electronegative Discharges M. M. HATAMI, A. R. NIKNAM 2 Physics Department

More information

A novel helicon plasma source for negative ion beams for fusion

A novel helicon plasma source for negative ion beams for fusion A novel helicon plasma source for negative ion beams for fusion Ivo Furno 1 R. Agnello 1, B. P. Duval 1, C. Marini 1, A. A. Howling 1, R. Jacquier 1, Ph. Guittienne 2, U. Fantz 3, D. Wünderlich 3, A. Simonin

More information

The evolution of solar wind turbulence at kinetic scales

The evolution of solar wind turbulence at kinetic scales International Association of Geomagnetism and Aeronomy (IAGA) 2 nd Symposium: Solar Wind Space Environment Interaction c 2010 Cairo University Press December 4 th 8 th, 2009, Cairo, Egypt L.Damé & A.Hady

More information

A THEORETICAL AND EXPERIMENTAL INVESTIGATION INTO ENERGY TRANSPORT IN HIGH TEMPERATURE TOKAMAK PLASMAS

A THEORETICAL AND EXPERIMENTAL INVESTIGATION INTO ENERGY TRANSPORT IN HIGH TEMPERATURE TOKAMAK PLASMAS A THEORETICAL AND EXPERIMENTAL INVESTIGATION INTO ENERGY TRANSPORT IN HIGH TEMPERATURE TOKAMAK PLASMAS Presented by D.P. SCHISSEL Presented to APS Centennial Meeting March 20 26, 1999 Atlanta, Georgia

More information

Overview of FRC-related modeling (July 2014-present)

Overview of FRC-related modeling (July 2014-present) Overview of FRC-related modeling (July 2014-present) Artan Qerushi AFRL-UCLA Basic Research Collaboration Workshop January 20th, 2015 AFTC PA Release# 15009, 16 Jan 2015 Artan Qerushi (AFRL) FRC modeling

More information

Modelling of low-temperature plasmas: kinetic and transport mechanisms. L.L. Alves

Modelling of low-temperature plasmas: kinetic and transport mechanisms. L.L. Alves Modelling of low-temperature plasmas: kinetic and transport mechanisms L.L. Alves llalves@tecnico.ulisboa.pt Instituto de Plasmas e Fusão Nuclear Instituto Superior Técnico, Universidade de Lisboa Lisboa,

More information

Tokamak Divertor System Concept and the Design for ITER. Chris Stoafer April 14, 2011

Tokamak Divertor System Concept and the Design for ITER. Chris Stoafer April 14, 2011 Tokamak Divertor System Concept and the Design for ITER Chris Stoafer April 14, 2011 Presentation Overview Divertor concept and purpose Divertor physics General design considerations Overview of ITER divertor

More information

Research of Basic Plasma Physics Toward Nuclear Fusion in LHD

Research of Basic Plasma Physics Toward Nuclear Fusion in LHD Research of Basic Plasma Physics Toward Nuclear Fusion in LHD Akio KOMORI and LHD experiment group National Institute for Fusion Science, Toki, Gifu 509-5292, Japan (Received 4 January 2010 / Accepted

More information

Vortices in accretion discs: formation process and dynamical evolution

Vortices in accretion discs: formation process and dynamical evolution Vortices in accretion discs: formation process and dynamical evolution Geoffroy Lesur DAMTP (Cambridge UK) LAOG (Grenoble) John Papaloizou Sijme-Jan Paardekooper Giant vortex in Naruto straight (Japan)

More information

q(0) pressure after crash 1.0 Single tearing on q=2 Double tearing on q=2 0.5

q(0) pressure after crash 1.0 Single tearing on q=2 Double tearing on q=2 0.5 EX/P-1 MHD issues in Tore Supra steady-state fully non-inductive scenario P Maget 1), F Imbeaux 1), G Giruzzi 1), V S Udintsev ), G T A Huysmans 1), H Lütjens 3), J-L Ségui 1), M Goniche 1), Ph Moreau

More information

Neoclassical Tearing Modes

Neoclassical Tearing Modes Neoclassical Tearing Modes O. Sauter 1, H. Zohm 2 1 CRPP-EPFL, Lausanne, Switzerland 2 Max-Planck-Institut für Plasmaphysik, Garching, Germany Physics of ITER DPG Advanced Physics School 22-26 Sept, 2014,

More information

20. Alfven waves. ([3], p ; [1], p ; Chen, Sec.4.18, p ) We have considered two types of waves in plasma:

20. Alfven waves. ([3], p ; [1], p ; Chen, Sec.4.18, p ) We have considered two types of waves in plasma: Phys780: Plasma Physics Lecture 20. Alfven Waves. 1 20. Alfven waves ([3], p.233-239; [1], p.202-237; Chen, Sec.4.18, p.136-144) We have considered two types of waves in plasma: 1. electrostatic Langmuir

More information

Classical Scattering

Classical Scattering Classical Scattering Daniele Colosi Mathematical Physics Seminar Daniele Colosi (IMATE) Classical Scattering 27.03.09 1 / 38 Contents 1 Generalities 2 Classical particle scattering Scattering cross sections

More information

Magnetohydrodynamic waves in a plasma

Magnetohydrodynamic waves in a plasma Department of Physics Seminar 1b Magnetohydrodynamic waves in a plasma Author: Janez Kokalj Advisor: prof. dr. Tomaž Gyergyek Petelinje, April 2016 Abstract Plasma can sustain different wave phenomena.

More information

Lecture 7 - Carrier Drift and Diffusion (cont.) February 20, Non-uniformly doped semiconductor in thermal equilibrium

Lecture 7 - Carrier Drift and Diffusion (cont.) February 20, Non-uniformly doped semiconductor in thermal equilibrium 6.720J/3.43J - Integrated Microelectronic Devices - Spring 2007 Lecture 7-1 Lecture 7 - Carrier Drift and Diffusion (cont.) February 20, 2007 Contents: 1. Non-uniformly doped semiconductor in thermal equilibrium

More information

Point Vortex Dynamics in Two Dimensions

Point Vortex Dynamics in Two Dimensions Spring School on Fluid Mechanics and Geophysics of Environmental Hazards 9 April to May, 9 Point Vortex Dynamics in Two Dimensions Ruth Musgrave, Mostafa Moghaddami, Victor Avsarkisov, Ruoqian Wang, Wei

More information

The Hall Effect. Figure 1: Geometry of the Hall probe [1]

The Hall Effect. Figure 1: Geometry of the Hall probe [1] The Hall Effect 1 Introduction In 1879, E. H. Hall observed that when a current-carrying conductor is placed in a transverse magnetic field, the Lorentz force on the moving charges produces a potential

More information

Controlling chaotic transport in Hamiltonian systems

Controlling chaotic transport in Hamiltonian systems Controlling chaotic transport in Hamiltonian systems Guido Ciraolo Facoltà di Ingegneria, Università di Firenze via S. Marta, I-50129 Firenze, Italy Cristel Chandre, Ricardo Lima, Michel Vittot CPT-CNRS,

More information

221A Miscellaneous Notes Continuity Equation

221A Miscellaneous Notes Continuity Equation 221A Miscellaneous Notes Continuity Equation 1 The Continuity Equation As I received questions about the midterm problems, I realized that some of you have a conceptual gap about the continuity equation.

More information

Transport at high beta in the NSTX spherical tokamak

Transport at high beta in the NSTX spherical tokamak Transport at high beta in the NSTX spherical tokamak Walter Guttenfelder 1, R.E. Bell 1, E. Belova 1, J. Candy 2, J.M. Canik 3,N. Crocker 4, E. Fredrickson 1, S.P. Gerhardt 1, N. Gorelenkov 1, S.M. Kaye

More information

J. Kesner. April Plasma Fusion Center Massachusetts Institute of Technology Cambridge, Massachusetts USA

J. Kesner. April Plasma Fusion Center Massachusetts Institute of Technology Cambridge, Massachusetts USA PFC/JA-88-38 Effect of Local Shear on Drift Fluctuation Driven T'ransport in Tokamaks J. Kesner April 1989 Plasma Fusion Center Massachusetts Institute of Technology Cambridge, Massachusetts 2139 USA Submitted

More information

DYNAMO THEORY: THE PROBLEM OF THE GEODYNAMO PRESENTED BY: RAMANDEEP GILL

DYNAMO THEORY: THE PROBLEM OF THE GEODYNAMO PRESENTED BY: RAMANDEEP GILL DYNAMO THEORY: THE PROBLEM OF THE GEODYNAMO PRESENTED BY: RAMANDEEP GILL MAGNETIC FIELD OF THE EARTH DIPOLE Field Structure Permanent magnetization of Core? 80% of field is dipole 20 % is non dipole 2)

More information

Thermodynamical and microscopic properties of turbulent transport in the edge plasma

Thermodynamical and microscopic properties of turbulent transport in the edge plasma Home Search Collections Journals About Contact us My IOPscience Thermodynamical and microscopic properties of turbulent transport in the edge plasma This content has been downloaded from IOPscience. Please

More information

IAEA INTERNATIONAL ATOMIC ENERGY AGENCY

IAEA INTERNATIONAL ATOMIC ENERGY AGENCY IAEA INTERNATIONAL ATOMIC ENERGY AGENCY 21 st IAEA Fusion Energy Conference Chengdu, China, 16-21 Oct 2004 IAEA-CN-149 / TH / 1-1 Studies of the Tokamak Edge with Self Consistent Turbulence, Equilibrium,

More information

Geometric Gyrokinetic Theory and its Applications to Large-Scale Simulations of Magnetized Plasmas

Geometric Gyrokinetic Theory and its Applications to Large-Scale Simulations of Magnetized Plasmas Geometric Gyrokinetic Theory and its Applications to Large-Scale Simulations of Magnetized Plasmas Hong Qin Princeton Plasma Physics Laboratory, Princeton University CEA-EDF-INRIA School -- Numerical models

More information

Core Transport Properties in JT-60U and JET Identity Plasmas

Core Transport Properties in JT-60U and JET Identity Plasmas 1 EXC/P4-12 Core Transport Properties in JT-60U and JET Identity Plasmas X. Litaudon 1, Y. Sakamoto 2, P.C. de Vries 3, A. Salmi 4, T. Tala 5, C. Angioni 6, S. Benkadda 7, M.N.A. Beurskens 8, C. Bourdelle

More information

Toroidal confinement of non-neutral plasma. Martin Droba

Toroidal confinement of non-neutral plasma. Martin Droba Toroidal confinement of non-neutral plasma Martin Droba Contents Experiments with toroidal non-neutral plasma Magnetic surfaces CNT and IAP-high current ring Conclusion 2. Experiments with toroidal non-neutral

More information

Investigations of pedestal turbulence and ELM bursts in NSTX H-mode plasmas

Investigations of pedestal turbulence and ELM bursts in NSTX H-mode plasmas Supported by Investigations of pedestal turbulence and ELM bursts in NSTX H-mode plasmas Coll of Wm & Mary Columbia U CompX General Atomics FIU INL Johns Hopkins U LANL LLNL Lodestar MIT Lehigh U Nova

More information

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE Implementation of drift velocities and currents in SOLEDGE2D-EIRENE Hugo Bufferand, C Baudoin, J Bucalossi, G Ciraolo, J Denis, Nicolas Fedorczak, D Galassi, Philippe Ghendrih, R Leybros, Y Marandet, et

More information

Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations.

Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations. Non-linear MHD Modelling of Rotating Plasma Response to Resonant Magnetic Perturbations. M. Becoulet 1, F. Orain 1, G.T.A. Huijsmans 2, G. Dif- Pradalier 1, G. Latu 1, C. Passeron 1, E. Nardon 1, V. Grandgirard

More information

Effect of 3D magnetic perturbations on the plasma rotation in ASDEX Upgrade

Effect of 3D magnetic perturbations on the plasma rotation in ASDEX Upgrade Effect of 3D magnetic perturbations on the plasma rotation in ASDEX Upgrade A F Martitsch 1, S V Kasilov 1,2, W Kernbichler 1, G Kapper 1, C G Albert 1, M F Heyn 1, H M Smith 3, E Strumberger 4, S Fietz

More information