Comparison of Kinetic and Extended MHD Models for the Ion Temperature Gradient Instability in Slab Geometry
|
|
- Leslie Riley
- 6 years ago
- Views:
Transcription
1 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 Boulder D. C. Barnes TriAlpha Energy, Inc.
2 Un-indicted Co-Conspirators Ping Zhu Chris Hegna Eric Held Jake King Scott Kruger Carl Sovinec
3 Goals Verify the NIMROD code for the ITG instability Are the extended MHD equations being solved correctly? Validate the extended MHD model for the ITG When can extended MHD be used as a physical model for the ITG? Quantify the differences between extended MHD and fully kinetic model
4 Ion Temperature Gradient Instability Parallel sound wave destabilized by interaction with a perpendicular drift wave in the presence of an ion temperature gradient L is gradient scale length Perturbed perp. drift motions convect heat via V x dt i0 /dx Can amplify temperature perturbation in sound wave if phase and frequency are right Requires FLR/two-fluid effects for instability Stable in ideal and resistive MHD Threshold in ρ i /L or k y ρ i for instability Differs from g-mode, which is MHD unstable and is stabilized by FLR effects Good test for extended MHD model How far can the model be pushed into the kinetic regime?
5 Approach Solve local kinetic and fluid dispersion relations for complex eigenvalue Solve extended MHD model with NIMROD code for complex eigenvalue and global eigenfunction Solve Vlasov + field equations with hybrid kinetic δf code (Cheng, et. al.) for complex eigenvalue and global eigenfunction Compare all results for a range of k y ρ i and ρ i /L
6 Equilibrium Slab (x, y, z) geometry Quasi-neutral n i0 = n e0 = n 0 T i0 (x), B(x) = B 0 (x) e z, n 0 = const, T e0 = const. z is parallel, y is perpendicular, no shear E 0 + V s0 B P s = 0 n 0 q s Specify P, determine B from MHD force balance Species force balance: E 0x determines frame of reference E 0x = 0 for all calculations here Ion drift velocity explicitly included in equilibrium
7 Local Kinetic Dispersion Relation No external forces or field line curvature; electrostatic Perturbations: Ignore x-dependence: local approximation Low frequency: ω << Ω e,i 1+ s 1 kλ Ds ξ s = ( k y ρ ) 2 i Fluid limit: ω se ω ds 1+ ω ( ) 2 ω f = fe i ( k y y+k z z ωt ) ω ds = T sk y q s B W dt s dx ω k z V ths 1 T s I 0 ( ω 2 2 ω s )ω + ω 2 se ω * Ti = 0 ( ξ s )e ξ s = 0 W (ζ ) = ( ζ / 2 )Z ( ζ / 2 ) +1 2 = k 2 T / M ω * = k y ω 2 z e s = ω 2 se + k 2 z (5 / 3)T i / M Ti eb dt i dx
8 Local Extended MHD Dispersion Relation XMHD mathematically equivalent to two-fluid model has same dispersion relation FLR effects captured through Braginskii closures (k y ρ i << 1): W i, j = V j x i Π i gv = η 3 2 ( ) + transpose ˆb W I + 3ˆbˆb Assume complete GV cancellations+electrostatic, k z /k y << 1: ( ω 2 2 ω s )ω + ω 2 se ω * Ti = 0 Same as fluid limit of kinetic equation!, Similar equation if GV cancellations are incomplete η 3 = P i 2B + V j x i 2 3 δ i, j V q igv = κ igv ˆb Ti, κ igv = 5 2 P i B
9 Cubic Dispersion Relation ω 3 ω 2 s ω + ω 2 * seω = 0 Ti Cubic Linear High frequency, or dt i /dx small: Cubic ~ Linear => Parallel sound waves: Low frequency, small dt i /dx : Linear ~ Constant => Drift wave: High frequency, Large dt i /dx : Constant Cubic ~ Constant => Instability: ω 2 = ω s 2 ω = ω 2 * seω Ti 2 ω s ~ dt i dx ( ) 1/3 e 2πil/3, l = 0,1,2 γ ~ L 1/3 ω = ω 2 * se ω Ti Interaction between sound and drift waves lead to instability Electromagnetic dispersion relation is quintic 2 new shear Alfven waves, same low frequency behavior
10 Behavior of Low Frequency Roots in Fluid Limit
11 Fluid Solution Depends on Single Non-dimensional Parameter g = 27 4 β e 2 β i β e β i 3 k k 2 ρ i L 2, g > 1 for instability Growth Rate: γ ω s = 1 2 Real Frequency: ω r = 1 ω s 2 3 ( g + g 1) 1/3 ( g + g 1) 1/3 + 1 ( g + g 1) 1/3 1 ( g + g 1) 1/3
12 Wave-Particle Interaction Effects Kinetic model includes wave-particle interaction effects (e.g., Landau damping) Not captured by extended MHD model Effects minimized when ω r /(k z V thi ) >> 1 (few particles resonant with wave) Also need k y ρ i << 1 For k ρ i ~ 0.2, resonant fraction ~ e ( ω r /(k V thi ) ) 2 ~ e (1.7)2 = 0.055
13 Equilibrium for Global T i (x) = T i tanh x L Walls are far away Calculations Used for both XMHD and kinetic calculations η i peaks at x < 0
14 Local Fluid Growth Rate vs. x Maximum local growth rate biased toward x < 0
15 Comparison of NIMROD and Local Fluid Growth Rates
16 Growth Rate is a Function of T e /T i When T e = 0 the drift wave does not propagate
17 Comparison of Local Kinetic and Fluid Growth Rates with NIMROD ρ i / L = / L = 3 / m k = 0.1 m Results Ω i = / sec β 0 = β e + β i = 0.05 T e / T i = 4 NIMROD and local fluid in fair agreement for k y ρ i < 0.2 NIMROD, local fluid, and local kinetic agree on marginal point Local kinetic stabilizes at k y ρ i ~ 1 Global hybrid kinetic calculation impractical for this value of ρ i /L
18 Comparison of Local and Global Kinetic and Fluid Results Larger values of ρ i /L allow global kinetic calculation k y ρ i = 0.2 for all results
19 Comparison of Kinetic and Fluid Eigenfunctions x = 0 Max. η i Max. local fluid growth rate Biased toward x < 0 Shape consistent with ion diamagnetic drift
20 Verification of NIMROD When ρ i /L << 1, NIMROD growth rate in good agreement with local fluid theory as a function of 1/L for fixed k y ρ i = 0.14 Difference at marginal point For fixed ρ i /L = , NIMROD growth rate in good agreement with local fluid theory as a function of k y ρ i Agreement on marginal point, k y ρ i = Excellent agreement for k y ρ i < 0.1 Good agreement for k y ρ i < 0.2 Divergence due to spatial dependence of equilibrium Accurate and correct solutions of extended MHD equations for this parameter range NIMROD is verified for the ITG Hybrid Kinetic Model also Verified
21 Validation of Extended MHD Model in NIMROD Direct comparison with more physically accurate kinetic models (both local and global) For ρ i /L < 10-3, extended MHD has same marginal point in k y ρ i as local kinetic solution Good agreement for k y ρ i < 0.05 Begin significant divergence for k y ρ i > 0.2 Wave particle interactions For k y ρ i = 0.2, agreement on marginal point in ρ i /L (= 0.013), but significant disagreement for larger ρ i /L Wave particle interactions Global extended MHD and hybrid kinetic eigenfunctions have similar character for L/ρ i = 30 and 20 Extended MHD is reliable physical model for ρ i /L < 10-3 and k y ρ i < 0.2, and is validated in this parameter range
22 Implications for Nonlinear Extended MHD Computations Integrated model of MHD-scale dynamics in presence of ITG turbulence? ITG growth rate increases as (k y ρ i ) 1/3 g-mode (interchange) stabilized by large k y ρ i Increasing resolution for nonlinear computations introduces modes with larger growth rates Impossible to converge nonlinear spectrum? Kinetic model stabilizes for k y ρ i ~ 1 Suggests adding hyper-dissipation ~ (k y ρ i ) 4 Control unphysical large k y ρ i modes with little effect for k y ρ i < 0.2
23 For NIMRODs only..
24 Full Disclosure Late time numerical instability Growth rate and real frequency are functions of x Growth rate and real frequency are different for different components of eigenvector Global kinetic and XMHD eigenfunctions differ significantly at L/ρ i = 10 Is it real, or is it..????
25 Numerical Instability ITG 2Δy mode
26 Growth Rate and Real Frequency are Functions of x Growth Rate Real Frequency
27 Different Components of Eigenvector Have Different Eigenvalues B x, B z, V x, V z : B y, V y : γ = ± 0.5 / sec γ = ± 0.9 / sec Difference is / sec, larger than statistical uncertainty in calculation of growth rate?????????????
28 Global Kinetic and XMHD Eigenfunctions Differ at L/ρ i = 10
29 Future Directions Can we improve the closures in extended MHD? Particle ions as part of bulk species? Eric s kinetic closures (on grid in phase space)? Can we go further into kinetic regime? Nonlinear ITG Slab geometry 2 Δy instability? Hyper-dissipation Thermal conductivity? ITG turbulence? Effective transport? Annulus calculations? Global toroidal simulations Sawtooth + core ITG turbulence? Can all this be captured in a single ` integrated fluid calculation? Return to Giant Sawtooth??
30 The Latest..
31 Nonlinear ITG n = 0 2 modes k_perp rho_i = 0.1 Run eventually dies (???) n = 1
32 Effect on Profiles Flattens Ion Temperature Suppresses Equilibrium Flow
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 informationIntermediate Nonlinear Development of a Line-tied g-mode
Intermediate Nonlinear Development of a Line-tied g-mode Ping Zhu University of Wisconsin-Madison In collaboration with C. C. Hegna and C. R. Sovinec (UW-Madison) A. Bhattacharjee and K. Germaschewski
More informationExponential Growth and Filamentary Structure of Nonlinear Ballooning Instability 1
Exponential Growth and Filamentary Structure of Nonlinear Ballooning Instability 1 Ping Zhu in collaboration with C. C. Hegna and C. R. Sovinec University of Wisconsin-Madison Sherwood Conference Denver,
More informationComputational Modeling of Fully Ionized Magnetized Plasmas Using the Fluid Approximation
Computational Modeling of Fully Ionized Magnetized Plasmas Using the Fluid Approximation Dalton D. Schnack Center for Energy and Space Science Center for Magnetic Self-Organization in Space and Laboratory
More informationDispersive Media, Lecture 7 - Thomas Johnson 1. Waves in plasmas. T. Johnson
2017-02-14 Dispersive Media, Lecture 7 - Thomas Johnson 1 Waves in plasmas T. Johnson Introduction to plasmas as a coupled system Magneto-Hydro Dynamics, MHD Plasmas without magnetic fields Cold plasmas
More informationExtended MHD simulation of Rayleigh-Taylor/Kelvin-Helmholtz instability
Extended MHD simulation of Rayleigh-Taylor/Kelvin-Helmholtz instability R. Goto (a), T. Hatori (a), H. Miura (a, b), A. Ito (a, b) and M. Sato (b) (a) The Graduate University for Advanced Studies (Sokendai)
More information2/8/16 Dispersive Media, Lecture 5 - Thomas Johnson 1. Waves in plasmas. T. Johnson
2/8/16 Dispersive Media, Lecture 5 - Thomas Johnson 1 Waves in plasmas T. Johnson Introduction to plasma physics Magneto-Hydro Dynamics, MHD Plasmas without magnetic fields Cold plasmas Transverse waves
More informationComputational modeling of fully ionized magnetized plasmas using the fluid approximation a
PHYSICS OF PLASMAS 13, 058103 2006 Computational modeling of fully ionized magnetized plasmas using the fluid approximation a D. D. Schnack b Center for Energy Space Science, Science Applications International
More informationStability 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 informationGyrokinetic 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 informationMicrotearing 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 informationOptimal design of 2-D and 3-D shaping for linear ITG stability*
Optimal design of 2-D and 3-D shaping for linear ITG stability* Mordechai N. Rorvig1, in collaboration with Chris C. Hegna1, Harry E. Mynick2, Pavlos Xanthopoulos3, and M. J. Pueschel1 1 University of
More informationMAGNETIC NOZZLE PLASMA EXHAUST SIMULATION FOR THE VASIMR ADVANCED PROPULSION CONCEPT
MAGNETIC NOZZLE PLASMA EXHAUST SIMULATION FOR THE VASIMR ADVANCED PROPULSION CONCEPT ABSTRACT A. G. Tarditi and J. V. Shebalin Advanced Space Propulsion Laboratory NASA Johnson Space Center Houston, TX
More informationGyrokinetic 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 informationGlobal 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 informationTwo Fluid Dynamo and Edge-Resonant m=0 Tearing Instability in Reversed Field Pinch
1 Two Fluid Dynamo and Edge-Resonant m= Tearing Instability in Reversed Field Pinch V.V. Mirnov 1), C.C.Hegna 1), S.C. Prager 1), C.R.Sovinec 1), and H.Tian 1) 1) The University of Wisconsin-Madison, Madison,
More informationComputations with Discontinuous Basis Functions
Computations with Discontinuous Basis Functions Carl Sovinec University of Wisconsin-Madison NIMROD Team Meeting November 12, 2011 Salt Lake City, Utah Motivation The objective of this work is to make
More informationFormation 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 informationGA A25229 FINAL REPORT ON THE OFES ELM MILESTONE FOR FY05
GA A25229 ELM MILESTONE FOR FY05 by D.P. BRENNAN, E.D. HELD, S.E. KRUGER, A.Y. PANKIN, D.D. SCHNACK, AND C.R. SOVINEC APRIL 2006 DISCLAIMER This report was prepared as an account of work sponsored by an
More informationMomentum 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 informationExponential Growth of Nonlinear Ballooning Instability. Abstract
Exponential Growth of Nonlinear Ballooning Instability P. Zhu, C. C. Hegna, and C. R. Sovinec Center for Plasma Theory and Computation University of Wisconsin-Madison Madison, WI 53706, USA Abstract Recent
More informationElectromagnetic 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 informationTransition From Single Fluid To Pure Electron MHD Regime Of Tearing Instability
Transition From Single Fluid To Pure Electron MHD Regime Of Tearing Instability V.V.Mirnov, C.C.Hegna, S.C.Prager APS DPP Meeting, October 27-31, 2003, Albuquerque NM Abstract In the most general case,
More informationAnalytic 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 informationParameter-Space Survey of Linear G-Mode and Interchange in Extended Magnetohydrodynamics
Parameter-Space Survey of Linear -Mode and Interchange in Extended Magnetohydrodynamics E. C. Howell and C. R. Sovinec University of Wisconsin-Madison Center for Plasma Theory and Computation Report UW-CPTC
More informationINTERACTION OF DRIFT WAVE TURBULENCE AND MAGNETIC ISLANDS
INTERACTION OF DRIFT WAVE TURBULENCE AND MAGNETIC ISLANDS A. Ishizawa and N. Nakajima National Institute for Fusion Science F. L. Waelbroeck, R. Fitzpatrick, W. Horton Institute for Fusion Studies, University
More informationWaves in plasma. Denis Gialis
Waves in plasma Denis Gialis This is a short introduction on waves in a non-relativistic plasma. We will consider a plasma of electrons and protons which is fully ionized, nonrelativistic and homogeneous.
More informationAccurate representation of velocity space using truncated Hermite expansions.
Accurate representation of velocity space using truncated Hermite expansions. Joseph Parker Oxford Centre for Collaborative Applied Mathematics Mathematical Institute, University of Oxford Wolfgang Pauli
More informationVerification & Validation: application to the TORPEX basic plasma physics experiment
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,
More informationFluid equations, magnetohydrodynamics
Fluid equations, magnetohydrodynamics Multi-fluid theory Equation of state Single-fluid theory Generalised Ohm s law Magnetic tension and plasma beta Stationarity and equilibria Validity of magnetohydrodynamics
More informationGlobal 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 informationTurbulent 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 informationHybrid Kinetic-MHD simulations with NIMROD
simulations with NIMROD Charlson C. Kim and the NIMROD Team Plasma Science and Innovation Center University of Washington CSCADS Workshop July 18, 2011 NIMROD C.R. Sovinec, JCP, 195, 2004 parallel, 3-D,
More informationGyrokinetic 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 informationarxiv: v2 [physics.plasm-ph] 12 Sep 2015
Dynamics of Ion Temperature Gradient Turbulence and Transport with a Static Magnetic Island arxiv:156.7438v2 [physics.plasm-ph] 12 Sep 15 O. Izacard, 1, C. Holland, 2 S. D. James, 3 and D. P. Brennan 4
More informationHybrid 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 informationModeling of Transport Barrier Based on Drift Alfvén Ballooning Mode Transport Model
9th IAEA TM on H-mode Physics and Transport Barriers Catamaran Resort Hotel, San Diego 3-9-5 Modeling of Transport Barrier Based on Drift Alfvén Ballooning Mode Transport Model A. Fukuyama, M. Uchida and
More informationC-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 informationMacroscopic plasma description
Macroscopic plasma description Macroscopic plasma theories are fluid theories at different levels single fluid (magnetohydrodynamics MHD) two-fluid (multifluid, separate equations for electron and ion
More informationLarge scale flows and coherent structure phenomena in flute turbulence
Large scale flows and coherent structure phenomena in flute turbulence I. Sandberg 1, Zh. N. Andrushcheno, V. P. Pavleno 1 National Technical University of Athens, Association Euratom Hellenic Republic,
More informationFLUID MODELS OF MAGNETIZED PLASMAS or BEYOND MHD or PLASMA PHYSICS IN 100 MINUTES!
FLUID MODELS OF MAGNETIZED PLASMAS or BEYOND MHD or PLASMA PHYSICS IN 100 MINUTES! Dalton D. Schnack April 18, 2006 1 Introduction You are now all experts in MHD. As you know, ideal MHD describes the dynamics
More information20. 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 informationModels 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 informationIdeal Magnetohydrodynamics (MHD)
Ideal Magnetohydrodynamics (MHD) Nick Murphy Harvard-Smithsonian Center for Astrophysics Astronomy 253: Plasma Astrophysics February 1, 2016 These lecture notes are largely based on Lectures in Magnetohydrodynamics
More informationGyrokinetic 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 informationFundamentals of Magnetic Island Theory in Tokamaks
Fundamentals of Magnetic Island Theory in Tokamaks Richard Fitzpatrick Institute for Fusion Studies University of Texas at Austin Austin, TX, USA Talk available at http://farside.ph.utexas.edu/talks/talks.html
More informationChapter 1. Introduction to Nonlinear Space Plasma Physics
Chapter 1. Introduction to Nonlinear Space Plasma Physics The goal of this course, Nonlinear Space Plasma Physics, is to explore the formation, evolution, propagation, and characteristics of the large
More informationRecapitulation: Questions on Chaps. 1 and 2 #A
Recapitulation: Questions on Chaps. 1 and 2 #A Chapter 1. Introduction What is the importance of plasma physics? How are plasmas confined in the laboratory and in nature? Why are plasmas important in astrophysics?
More informationInnovative 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 informationWater-bag reduced gyrokinetic model for the study of the spatial structure of ITG instability linear modes
Water-bag reduced gyrokinetic model for the study of the spatial structure of ITG instability linear modes PhD work directed by N. Besse with invaluable input from P. Bertrand, E. Gravier, P. Morel,R.
More informationHybrid 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 informationEnergetic-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 informationKinetic 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 information35. RESISTIVE INSTABILITIES: CLOSING REMARKS
35. RESISTIVE INSTABILITIES: CLOSING REMARKS In Section 34 we presented a heuristic discussion of the tearing mode. The tearing mode is centered about x = 0, where F x that B 0 ( ) = k! B = 0. Note that
More informationTURBULENT 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 informationNoncurvature-driven modes in a transport barrier
PHYSICS OF PLASMAS 1, 06511 005 Noncurvature-driven modes in a transport barrier B. N. Rogers Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 W. Dorland Department
More informationA theory for localized low-frequency ideal MHD modes in axisymmetric toroidal systems is generalized to take into account both toroidal and poloidal
MHD spectra pre-history (selected results I MHD spectra pre-history (selected results II Abstract A theory for localized low-frequency ideal MHD modes in axisymmetric toroidal systems is generalized to
More informationThe Role of Dynamo Fluctuations in Anomalous Ion Heating, Mode Locking, and Flow Generation
The Role of Dynamo Fluctuations in Anomalous Ion Heating, Mode Locking, and Flow Generation P. W. Terry 1), R. Gatto 1), R. Fitzpatrick 2), C.C. Hegna 3), and G. Fiksel 1) 1) Department of Physics, University
More informationSupported by. Role of plasma edge in global stability and control*
NSTX Supported by College W&M Colorado Sch Mines Columbia U CompX General Atomics INL Johns Hopkins U LANL LLNL Lodestar MIT Nova Photonics New York U Old Dominion U ORNL PPPL PSI Princeton U Purdue U
More informationNumKin, Strasbourg, October 17 th, 2016
F. Palermo 1 A.Biancalani 1, C.Angioni 1, F.Zonca 2, A.Bottino 1, B.Scott 1, G.D.Conway 1, E.Poli 1 1 Max Planck Institut für Plasmaphysik, Garching, Germany 2 ENEA C. R. Frascati - Via E. Fermi 45, CP
More informationA 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 informationGTC 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 informationHybrid 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 informationGyroviscosity in the NIMROD code. A.Y. Pankin D. D. Schnack C. Sovinec S. E. Kruger
Gyroviscosity in the NIMROD code A.Y. Pankin D. D. Schnack C. Sovinec S. E. Kruger Outline Introduction Two possible implementations Testing GV in the NIMROD code Convergence Summary ε = ω / Ω i ξ = V
More informationHeating and current drive: Radio Frequency
Heating and current drive: Radio Frequency Dr Ben Dudson Department of Physics, University of York Heslington, York YO10 5DD, UK 13 th February 2012 Dr Ben Dudson Magnetic Confinement Fusion (1 of 26)
More informationNonlinear 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 informationNonlinear processes associated with Alfvén waves in a laboratory plasma
Nonlinear processes associated with Alfvén waves in a laboratory plasma Troy Carter Dept. Physics and Astronomy and Center for Multiscale Plasma Dynamics, UCLA acknowledgements: Brian Brugman, David Auerbach,
More informationFundamentals of wave kinetic theory
Fundamentals of wave kinetic theory Introduction to the subject Perturbation theory of electrostatic fluctuations Landau damping - mathematics Physics of Landau damping Unmagnetized plasma waves The plasma
More informationCoarse-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 informationAnalysis 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 informationSimple examples of MHD equilibria
Department of Physics Seminar. grade: Nuclear engineering Simple examples of MHD equilibria Author: Ingrid Vavtar Mentor: prof. ddr. Tomaž Gyergyek Ljubljana, 017 Summary: In this seminar paper I will
More informationTurbulence 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 informationUnderstanding and Controlling Turbulent Mixing in a Laboratory Magnetosphere
Understanding and Controlling Turbulent Mixing in a Laboratory Magnetosphere Mike Mauel Department of Applied Physics and Applied Math, Columbia University, New York, NY USA (Acknowledging the work from
More informationBursty Transport in Tokamaks with Internal Transport Barriers
Bursty Transport in Tokamaks with Internal Transport Barriers S. Benkadda 1), O. Agullo 1), P. Beyer 1), N. Bian 1), P. H. Diamond 3), C. Figarella 1), X. Garbet 2), P. Ghendrih 2), V. Grandgirard 1),
More informationELECTROSTATIC ION-CYCLOTRON WAVES DRIVEN BY PARALLEL VELOCITY SHEAR
1 ELECTROSTATIC ION-CYCLOTRON WAVES DRIVEN BY PARALLEL VELOCITY SHEAR R. L. Merlino Department of Physics and Astronomy University of Iowa Iowa City, IA 52242 December 21, 2001 ABSTRACT Using a fluid treatment,
More informationMHD Linear Stability Analysis Using a Full Wave Code
US-Japan JIFT Workshop on Progress of Extended MHD Models NIFS, Toki,Japan 2007/03/27 MHD Linear Stability Analysis Using a Full Wave Code T. Akutsu and A. Fukuyama Department of Nuclear Engineering, Kyoto
More informationThe role of polarization current in magnetic island evolution
The role of polarization current in magnetic island evolution J. W. Connor, F. L. Waelbroeck, and H. R. Wilson Citation: Phys. Plasmas 8, 835 (001); doi: 10.1063/1.137006 View online: http://dx.doi.org/10.1063/1.137006
More informationHybrid Simulation Method ISSS-10 Banff 2011
Hybrid Simulation Method ISSS-10 Banff 2011 David Burgess Astronomy Unit Queen Mary University of London With thanks to Dietmar Krauss-Varban Space Plasmas: From Sun to Earth Space Plasma Plasma is (mostly)
More informationNIMROD Team Meeting Minutes August 12-14, 2014, Logan, Utah The team meeting began with an informal discussion of features that would be beneficial
NIMROD Team Meeting Minutes August 12-14, 2014, Logan, Utah The team meeting began with an informal discussion of features that would be beneficial for applications and for development. Participants were
More informationAsymmetric Magnetic Reconnection in Coronal Mass Ejection Current Sheets
Asymmetric Magnetic Reconnection in Coronal Mass Ejection Current Sheets Nicholas Murphy, 1 Mari Paz Miralles, 1 Crystal Pope, 1,2 John Raymond, 1 Kathy Reeves, 1 Dan Seaton, 3 & David Webb 4 1 Harvard-Smithsonian
More informationProperties 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 informationSimulations 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 informationApplying Asymptotic Approximations to the Full Two-Fluid Plasma System to Study Reduced Fluid Models
0-0 Applying Asymptotic Approximations to the Full Two-Fluid Plasma System to Study Reduced Fluid Models B. Srinivasan, U. Shumlak Aerospace and Energetics Research Program, University of Washington, Seattle,
More informationResistive MHD, reconnection and resistive tearing modes
DRAFT 1 Resistive MHD, reconnection and resistive tearing modes Felix I. Parra Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK (This version is of 6 May 18 1. Introduction
More informationarxiv: v1 [physics.plasm-ph] 24 Nov 2017
arxiv:1711.09043v1 [physics.plasm-ph] 24 Nov 2017 Evaluation of ideal MHD mode stability of CFETR baseline scenario Debabrata Banerjee CAS Key Laboratory of Geospace Environment and Department of Modern
More informationStabilization of sawteeth in tokamaks with toroidal flows
PHYSICS OF PLASMAS VOLUME 9, NUMBER 7 JULY 2002 Stabilization of sawteeth in tokamaks with toroidal flows Robert G. Kleva and Parvez N. Guzdar Institute for Plasma Research, University of Maryland, College
More informationGyrokinetic 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 informationTheory 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 informationNIMROD Project Overview
NIMROD Project Overview Christopher Carey - Univ. Wisconsin NIMROD Team www.nimrodteam.org CScADS Workshop July 23, 2007 Project Overview NIMROD models the macroscopic dynamics of magnetized plasmas by
More informationNIMROD simulations of dynamo experiments in cylindrical and spherical geometries. Dalton Schnack, Ivan Khalzov, Fatima Ebrahimi, Cary Forest,
NIMROD simulations of dynamo experiments in cylindrical and spherical geometries Dalton Schnack, Ivan Khalzov, Fatima Ebrahimi, Cary Forest, 1 Introduction Two experiments, Madison Plasma Couette Experiment
More informationarxiv: 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 informationJet Stability: A computational survey
Jet Stability Galway 2008-1 Jet Stability: A computational survey Rony Keppens Centre for Plasma-Astrophysics, K.U.Leuven (Belgium) & FOM-Institute for Plasma Physics Rijnhuizen & Astronomical Institute,
More informationMAGNETOHYDRODYNAMICS
Chapter 6 MAGNETOHYDRODYNAMICS 6.1 Introduction Magnetohydrodynamics is a branch of plasma physics dealing with dc or low frequency effects in fully ionized magnetized plasma. In this chapter we will study
More informationNonlinear 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 informationEnergetics of the interaction between electromagnetic ExB turbulence and zonal flows
Energetics of the interaction between electromagnetic ExB turbulence and zonal flows Bruce D Scott Max-Planck-Institut für Plasmaphysik, Euratom Association, D-85748 Garching, Germany E-mail: bds@ipp.mpg.de
More informationOn the physics of shear flows in 3D geometry
On the physics of shear flows in 3D geometry C. Hidalgo and M.A. Pedrosa Laboratorio Nacional de Fusión, EURATOM-CIEMAT, Madrid, Spain Recent experiments have shown the importance of multi-scale (long-range)
More informationNatalia Tronko S.V.Nazarenko S. Galtier
IPP Garching, ESF Exploratory Workshop Natalia Tronko University of York, York Plasma Institute In collaboration with S.V.Nazarenko University of Warwick S. Galtier University of Paris XI Outline Motivations:
More informationL 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 informationCurrent Profile Control by ac Helicity Injection
Current Profile Control by ac Helicity Injection Fatima Ebrahimi and S. C. Prager University of Wisconsin- Madison APS 2003 Motivations Helicity injection is a method to drive current in plasmas in which
More informationCosmic-ray Acceleration and Current-Driven Instabilities
Cosmic-ray Acceleration and Current-Driven Instabilities B. Reville Max-Planck-Institut für Kernphysik, Heidelberg Sep 17 2009, KITP J.G. Kirk, P. Duffy, S.O Sullivan, Y. Ohira, F. Takahara Outline Analysis
More information