Lecture Series in Energetic Particle Physics of Fusion Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543,

Slides:

Advertisements

Similar presentations

Short wavelength ion temperature gradient driven instability in toroidal plasmas Zhe Gao, a) H. Sanuki, b) K. Itoh b) and J. Q. Dong c) a) Department of.

Advertisements

Hefei, China/ August 2012 / 2nd LectureValentin Igochine 1 Physics and control of fast particle modes Valentin Igochine Max-Planck Institut für Plasmaphysik.

Lecture Series in Energetic Particle Physics of Fusion Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543,

TAE-EP Interaction in ARIES ACT-I K. Ghantous, N.N Gorelenkov PPPL ARIES Project Meeting,, 26 Sept

A Kinetic-Fluid Model for Studying Thermal and Fast Particle Kinetic Effects on MHD Instabilities C. Z. Cheng, N. Gorelenkov and E. Belova Princeton Plasma.

6 th ITPA MHD Topical Group Meeting combined with W60 IEA Workshop on Burning Plasmas Session II MHD Stability and Fast Particle Confinement General scope.

Cyclic MHD Instabilities Hartmut Zohm MPI für Plasmaphysik, EURATOM Association Seminar talk at the ‚Advanced Course‘ of EU PhD Network, Garching, September.

Lecture Series in Energetic Particle Physics of Fusion Plasmas

Energetic Particle Physics in Tokamak Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543, USA 6 th Workshop.

Kinetic Theories of Geodesic Acoustic Modes in Toroidal Plasmas Zhiyong Qiu, F. Zonca and L. Chen IFTS, May 2010.

INTRODUCTION OF WAVE-PARTICLE RESONANCE IN TOKAMAKS J.Q. Dong Southwestern Institute of Physics Chengdu, China International School on Plasma Turbulence.

Discrete Alfven Eigenmodes Shuang-hui Hu College of Sci, Guizhou Univ, Guiyang Liu Chen Dept of Phys & Astr, UC Irvine Supported by DOE and NSF.

Modeling Generation and Nonlinear Evolution of Plasma Turbulence for Radiation Belt Remediation Center for Space Science & Engineering Research Virginia.

Fast ion effects on fishbones and n=1 kinks in JET simulated by a non-perturbative NOVA-KN code TH/5-2Rb N.N. Gorelenkov 1), C.Z.Cheng 1), V.G. Kiptily.

F. Nabais - Vilamoura - November 2004 Internal kink mode stability in the presence of ICRH driven fast ions populations F. Nabais, D. Borba, M. Mantsinen,

TH/3-1Ra Nonperturbative Effects of Energetic Ions on Alfvén Eigenmodes by Y. Todo et al. EX/5-4Rb Configuration Dependence of Energetic Ion Driven Alfven.

Hybrid simulations of parallel and oblique electromagnetic alpha/proton instabilities in the solar wind Q. M. Lu School of Earth and Space Science, Univ.

1 Phase Space Instability with Frequency Sweeping H. L. Berk and D. Yu. Eremin Institute for Fusion Studies Presented at IAEA Workshop Oct

D. Borba 1 21 st IAEA Fusion Energy Conference, Chengdu China 21 st October 2006 Excitation of Alfvén eigenmodes with sub-Alfvénic neutral beam ions in.

Turbulent transport in collisionless plasmas: eddy mixing or wave-particle decorrelation? Z. Lin Y. Nishimura, I. Holod, W. L. Zhang, Y. Xiao, L. Chen.

T. Hellsten IEA Burning Plasma Workshop, July 2005 Tarragona Spain Integrated Modelling of ICRH and AE Dynamics T. Hellsten, T. Bergkvist, T. Johnson and.

Computer simulations of fast frequency sweeping mode in JT-60U and fishbone instability Y. Todo (NIFS) Y. Shiozaki (Graduate Univ. Advanced Studies) K.

Nonlinear Frequency Chirping of Alfven Eigenmode in Toroidal Plasmas Huasen Zhang 1,2 1 Fusion Simulation Center, Peking University, Beijing , China.

Kinetic Effects on the Linear and Nonlinear Stability Properties of Field- Reversed Configurations E. V. Belova PPPL 2003 APS DPP Meeting, October 2003.

Overview of MHD and extended MHD simulations of fusion plasmas Guo-Yong Fu Princeton Plasma Physics Laboratory Princeton, New Jersey, USA Workshop on ITER.

Hybrid Simulations of Energetic Particle-driven Instabilities in Toroidal Plasmas Guo-Yong Fu In collaboration with J. Breslau, J. Chen, E. Fredrickson,

TH/7-2 Radial Localization of Alfven Eigenmodes and Zonal Field Generation Z. Lin University of California, Irvine Fusion Simulation Center, Peking University.

The Role of Damping in Stable and Unstable Alfvén Eigenmodes S. D. Pinches 1, A. Könies 2, Ph. Lauber 1 H.L.Berk 3, S.E.Sharapov 4 and M.Gryaznavich 4.

ACKNOWLEDGMENTS This research was supported by the National Science Foundation of China (NSFC) under grants , , , the Specialized.

Particle Distribution Modification by TAE mode and Resonant Particle Orbits POSTECH 1, NFRI 1,2 M.H.Woo 1, C.M.Ryu 1, T.N.Rhee 1,,2.

Excitation of ion temperature gradient and trapped electron modes in HL-2A tokamak The 3 th Annual Workshop on Fusion Simulation and Theory, Hefei, March.

Numerical Simulation on Flow Generated Resistive Wall Mode Shaoyan Cui (1,2), Xiaogang Wang (1), Yue Liu (1), Bo Yu (2) 1.State Key Laboratory of Materials.

HAGIS Code Lynton Appel … on behalf of Simon Pinches and the HAGIS users CCFE is the fusion research arm of the United Kingdom Atomic Energy Authority.

Chalmers University of Technology Szczecin, 23 March 2006 Meeting with Dr. B. Green Dr. B. Green (Euratom) and Prof. A. Gałkowski (Association Euratom-IPPLM)

Transition from ” True” Modes to Quasimodes for Radially Extended Perturbations Page 1 Nonlinear Consequences of Energetic Particle Instabilities Boris.

Summary of MHD Topics 2nd IAEA Technical Meeting Theory of Plasma Instabilities Howard Wilson.

Lecture Series in Energetic Particle Physics of Fusion Plasmas

Stability Properties of Field-Reversed Configurations (FRC) E. V. Belova PPPL 2003 International Sherwood Fusion Theory Conference Corpus Christi, TX,

PEPSC Plan for Self-consistent Simulations of Fast Ion Transport with Source and Sink Guoyong Fu Princeton Plasma Physics Laboratory.

Reconnection rates in Hall MHD and Collisionless plasmas

Dynamics of ITG driven turbulence in the presence of a large spatial scale vortex flow Zheng-Xiong Wang, 1 J. Q. Li, 1 J. Q. Dong, 2 and Y. Kishimoto 1.

(National Institute for Fusion Science, Japan)

Electron inertial effects & particle acceleration at magnetic X-points Presented by K G McClements 1 Other contributors: A Thyagaraja 1, B Hamilton 2,

Hybrid MHD-Gyrokinetic Simulations for Fusion Reseach G. Vlad, S. Briguglio, G. Fogaccia Associazione EURATOM-ENEA, Frascati, (Rome) Italy Introduction.

1 Lawrence Livermore National Laboratory Influence of Equilibrium Shear Flow on Peeling-Ballooning Instability and ELM Crash Pengwei Xi 1,2, Xueqiao Xu.

STUDIES OF NONLINEAR RESISTIVE AND EXTENDED MHD IN ADVANCED TOKAMAKS USING THE NIMROD CODE D. D. Schnack*, T. A. Gianakon**, S. E. Kruger*, and A. Tarditi*

1 A Proposal for a SWIM Slow-MHD 3D Coupled Calculation of the Sawtooth Cycle in the Presence of Energetic Particles Josh Breslau Guo-Yong Fu S. C. Jardin.

Alfven Waves in Toroidal Plasmas

Summary of IAEA Theory Papers on Energetic Particle Physics Guoyong Fu.

Simulations of NBI-driven Global Alfven Eigenmodes in NSTX E. V. Belova, N. N. Gorelenkov, C. Z. Cheng (PPPL) NSTX Results Forum, PPPL July 2006 Motivation:

Numerical Study on Ideal MHD Stability and RWM in Tokamaks Speaker: Yue Liu Dalian University of Technology, China Co-Authors: Li Li, Xinyang Xu, Chao.

Neoclassical Effects in the Theory of Magnetic Islands: Neoclassical Tearing Modes and more A. Smolyakov* University of Saskatchewan, Saskatoon, Canada,

Helically Symmetry Configuration Evidence for Alfvénic Fluctuations in Quasi-Helically Symmetric HSX Plasmas C. Deng and D.L. Brower, University of California,

T. Hellsten IAEA TM Meeting on Energetic Particles, San Diego 2003 T. Hellsten 1, T. Bergkvist 1, T.Johnson 1, M. Laxåback 1 and L.-G. Eriksson 2 1 Euratom-VR.

Simulations of Energetic Particle Modes In Spherical Torus G.Y. Fu, J. Breslau, J. Chen, E. Fredrickson, S. Jardin, W. Park Princeton Plasma Physics Laboratory.

Nonlinear Simulations of Energetic Particle-driven Modes in Tokamaks Guoyong Fu Princeton Plasma Physics Laboratory Princeton, NJ, USA In collaboration.

Kinetic-Fluid Model for Modeling Fast Ion Driven Instabilities C. Z. Cheng, N. Gorelenkov and E. Belova Princeton Plasma Physics Laboratory Princeton University.

Energetic Particles Interaction with the Non-resonant Internal Kink in Spherical Tokamaks Feng Wang*, G.Y. Fu**, J.A. Breslau**, E.D. Fredrickson**, J.Y.

Interaction between vortex flow and microturbulence Zheng-Xiong Wang （王正汹） Dalian University of Technology, Dalian, China West Lake International Symposium.

TH/7-1Multi-phase Simulation of Alfvén Eigenmodes and Fast Ion Distribution Flattening in DIII-D Experiment Y. Todo (NIFS, SOKENDAI) M. A. Van Zeeland.

Energetic ion excited long-lasting “sword” modes in tokamak plasmas with low magnetic shear Speaker:RuiBin Zhang Advisor:Xiaogang Wang School of Physics,

FPT Discussions on Current Research Topics Z. Lin University of California, Irvine, California 92697, USA.

U NIVERSITY OF S CIENCE AND T ECHNOLOGY OF C HINA Influence of ion orbit width on threshold of neoclassical tearing modes Huishan Cai 1, Ding Li 2, Jintao.

M. Fitzgerald, S.E. Sharapov, P. Rodrigues2, D. Borba2

Huishan Cai, Jintao Cao, Ding Li

8th IAEA Technical Meeting on

Influence of energetic ions on neoclassical tearing modes

27th IAEA Fusion Energy Conference, October 2018, Gandhinagar, India

Stabilization of m/n=1/1 fishbone by ECRH

Simulations of energetic particle driven instabilities and fast particle redistribution in EAST tokamak Fishbone simulation by M3D-K: The simulation results.

Presentation transcript:

Lecture Series in Energetic Particle Physics of Fusion Plasmas Guoyong Fu Princeton Plasma Physics Laboratory Princeton University Princeton, NJ 08543, USA IFTS, Zhejiang University, Hangzhou, China, Jan. 3-8, 2007

A series of 5 lectures (1) Overview of Energetic Particle Physics in Tokamaks (today) (2) Tokamak equilibrium, shear Alfven wave equation, Alfven eigenmodes (Jan. 4) (3) Linear stability of energetic particle-driven modes (Jan. 5) (4) Nonlinear dynamics of energetic particle-driven modes (Jan. 6) (5) Summary and future direction for research in energetic particle physics (Jan. 8)

Outline Saturation mechanism Single mode saturation: bump-on-tail problem Multi-mode problem Hybrid simulation of fishbone instability Summary

Destabilize shear Alfven waves via wave-particle resonance Destabilization mechanism (universal drive) Wave particle resonance at For the right phase, particle will lose energy going outward and gaining energy going inward. As a result, particles will lose energy to waves. Energetic particle drive Spatial gradient driveLandau damping Due to velocity space gradient

TAE Stability: energetic particle drive and background dampings Energetic particle drive Dampings Ion and electron Landau damping, collisional damping, continuum damping, “radiative damping” due to kinetic Alfven waves Drive > damping for instability G.Y.Fu and J.W. Van Dam, Phys. Fluids B1, 1949 (1989). M.N. Rosenbluth, H.L. Berk, J.W. Van Dam and D.M. Lindberg 1992, Phys. Rev. Lett. 68, 596 R.R. Mett and S.M. Mahajan 1992, Phys. Fluids B 4, 2885

First observation of TAE in TFTR K.L. Wong, R.J. Fonck, S.F. Paul, et al. 1991, Phys. Rev. Lett. 66, 1874.

Example of EPM: fishbone instability Mode structure is of (m,n)=(1,1) internal kink; Mode is destabilized by energetic trapped particles; Mode frequency is comparable to trapped particles’ precessional drift frequency K. McGuire, R. Goldston, M. Bell, et al. 1983, Phys. Rev. Lett. 50, 891 L. Chen, R.B. White and M.N. Rosenbluth 1984, Phys. Rev. Lett. 52, 1122

Bump-on-tail problem: definition H.L. Berk and B.N. Breizman 1990, Phys. Fluids B 2, 2235

Bump-on-tail problem: saturation mechanism We first consider case of no source/sink and no damping. The instability then saturates at The instability saturates when the distribution is flattened at the resonance region (width of flattened region is on order of The saturation is due to wave-particle trapping.

Bump-on-tail problem: saturation with damping, source and sink Collisions tend to restore the original unstable distribution. Balance of nonlinear flattening and collisional restoration leads to mode saturation. It can be shown that the linear growth rate is reduced by a factor of. Thus, the mode saturates at H.L. Berk and B.N. Breizman 1990, Phys. Fluids B 2, 2235

H.L. Berk et al, Phys. Plasmas 2, 3007 (1995).

Transition from steady state saturation to explosive nonlinear regime B.N. Breizman et al Phys. Plasmas 4, 1559 (1997).

Hole-clump creation and frequency chirping For near stability threshold and small collision frequency, hole-clump will be created due to steepening of distribution function near the boundary of flattening region. As hole and clump moves up and down in the phase space of distribution function, the mode frequency also moves up and down. H.L. Berk et al., Phys. Plasma 6, 3102 (1999).

Experimental observation of frequency chirping M.P. Gryaznevich et al, Plasma Phys. Control. Fusion 46 S15, 2004.

Saturation due to mode-mode coupling Fluid nonlinearity induces n=0 perturbations which lead to equilibrium modification, narrowing of continuum gaps and enhancement of mode damping. D.A. Spong, B.A. Carreras and C.L. Hedrick 1994, Phys. Plasmas 1, 1503 F. Zonca, F. Romanelli, G. Vlad and C. Kar 1995, Phys. Rev. Lett. 74, 698 L. Chen, F. Zonca, R.A. Santoro and G. Hu 1998, Plasma Phys. Control. Fusion 40, 1823 At high-n, mode-mode coupling leads to mode cascade to lower frequencies via ion Compton scattering. As a result, modes saturate due to larger effective damping. T.S. Hahm and L. Chen 1995, Phys. Rev. Lett. 74, 266

. Multiple unstable modes can lead to resonance overlap and stochastic diffusion of energetic particles H.L. Berk et al, Phys. Plasmas 2, 3007 (1995).

Nonlinear Hybrid Simulation of Fishbone instability Particle/MHD hybrid model Use M3D code Observed dynamic distribution flattening as mode frequency decreases. G.Y. Fu et al, Phys. Plasmas 13, (2006)

M3D Code M3D is a 3D extended nonlinear MHD code with multiple level of physics: resistive MHD two fluids Particle/MHD hyrid

M3D XMHD Model

Experimental observation of fishbone instability in PDX

Excitation of Fishbone at high  h

Mode Structure: Ideal Kink v.s. Fishbone

Nonlinear evolution of mode structure and mode amplitude

Saturation amplitude scale as square of linear growth rate

Simulation of fishbone shows distribution fattening and strong frequency chirping distribution

Summary Single mode saturates due to wave-particle trapping or distribution flattening. Collisions tend to restore original unstable distribution. Near stability threshold, nonlinear evolution can be explosive when collision is sufficiently weak. Mode-mode coupling can enhance damping and induce mode saturation. Multiple modes can cause resonance overlap and enhance particle loss.