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MHD-GK Hybrid Simulation of Alfvenic Instabilities in Burning Plasmas. Shuang-hui Hu Dept of Phys, Coll of Sci, Guizhou University Liu Chen IFTS, Zhejiang University Supported by NSFC. Motivation. Importance of Alfven wave and energetic particle physics in fusion plasmas
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MHD-GK Hybrid Simulationof Alfvenic Instabilitiesin Burning Plasmas Shuang-hui Hu Dept of Phys, Coll of Sci, Guizhou University Liu Chen IFTS, Zhejiang University Supported by NSFC
Motivation • Importance of Alfven wave and energetic particle physics in fusion plasmas • Efficient access to the associated kinetic understandings with MHD-gyrokinetic hybrid simulations upon theoretical achievement on alfvenic activities • Key roles of kinetic excitations for varied alfvenic modes by different plasma components via wave-particle interactions
Outline • Research objective • Theoretical model • Numerical scheme • Model for toroidal plasmas • Kinetically excited alfvenic instabilities • Model for dipolar plasmas • Kinetic excitation of Alfven waves • Summary
Objective • To understand alfvenic instabilities and the supporting kinetic mechanisms • To demonstrate the alfvenic mode evolution upon basic physical correlations • To bridge the simplified numerical studies to large-scale numerical explorations • To serve a basic physical/numerical training for massive simulations
Theoretical Model over Coupled MHD-GK Equations
Field-Particle Hybrid Simulation • Field components within MHD description evolved with finite difference algorithm • Particle components within gyrokinetic description simulated with delta-f method • Coupling between field-on-grids and particle-on-continuous-trajectory communicated with PIC technique
Numerical Scheme • The coupled MHD-gyrokinetic system advanced in time upon the given toroidal (azimuthal) wavenumber • Marker particles loaded over the given equilibrium distribution • Boundary condition applied with the vanished perturbations
Toroidal Plasmas [Chen, 1994; Chen & Hasegawa, 1991]
Alfven Continuum with Frequency Gap [Chen and Zonca, 1995]
Alfven Modes in Toroidal Geometry • TAE: Frequencies inside the toroidal Alfven frequency gap EPM: Frequencies by particle frequencies via wave-particle resonance conditions alpha-TAE: Bound states in the potential wells due to the ballooning drive • Rich alfvenic activities, including low frequency continuum, in burning plasma conditions
An Exampleon Wave-Particle Resonanceby Gyrokinetic Equation Gyrokinetic equation Trapped particle solution Resonance condition for trapped particles
MHD Eigenmode Structures for Negative Magnetic Shear
Dipolar Plasmas [Frieman & Chen, 1982; Chen & Hasegawa, 1991]
2D Eigenmode Structures
Wave-Particle Resonances by
Summary • MHD-gyrokinetic hybrid simulation codes are developed to investigate alfvenic instabilities under the burning plasma conditions. • Kinetic excitation mechanisms are studied upon varied wave-particle resonances for different particle species. Further nonlinear studies are prompted upon the detailed understandings of alfvenic modes within the continuum spectrum or frequency gap under the conditions with multiple particle species.