Overview of FRC-related modeling (July 2014-present)
|
|
- Philip Austin
- 6 years ago
- Views:
Transcription
1 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 overview (July 2014-present) January 20th, / 18
2 Outline 1 FRC configuration Illustration of FRC configuration FRC formation with RMF 2 2D (r θ) model of RMF-formed FRCs Original publications of RMF-formed FRCs Model equations and their numerical solution 3 Collision Radiative model 0D model equations Test calculations 4 Magnetized plasma closure for electron-ion-neutral mixture Magnetized plasma closure for electron-ion-neutral mixture Applied field modules 5 Conclusions Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
3 Illustration of FRC configuration θ pinch formed FRC. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
4 FRC formation with RMF (Rotating Magnetic Field) RMF-formed FRC. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
5 Original publications of modeling RMF-formed FRCs W. N. Hugrass and R. C. Grimm, A numerical study of the generation of an azimuthal current ina plasma cylinder using a transverse rotating magnetic field, J. Plasma Physics 26, (1981). R. D. Milroy, A numerical study of rotating magnetic fields as a current drive for field reversed configurations, Phys. Plasmas 6, (1999). R. D. Milroy, A magnetohydrodynamic model of rotating magnetic field current drive in a field-reversed configuration, Phys. Plasmas 7, (2000). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
6 Illustration of 2D (r θ) RMF model Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
7 2D (r θ) model equations and their numerical solution Coupled equations for B z (r, θ) and A z (r, θ) A z t B z t = η µ 0 2 A z + = η µ 0 2 B z + 1 n e eµ 0 r 1 n e eµ 0 r [( ) ( Az Bz r θ [( Az θ ) ) r 2 A z ( ) ( )] Az Bz θ r ( ) ] Az r θ 2 A z Solve numerically by expanding B z and A z in Fourier series and deriving 1D equations for the Fourier coefficients (coupled). Advance the equations for the Fourier coefficients in time using an ODE solver (method of lines). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
8 0D model equations dn e dt dn k dt dn z dt dt e dt = q i n i k=1,z = n e (n k 1 S k 1 n k (S k + α k ) + n k+1 α k+1 ), k = 1, 2,, Z 1 = n e (n Z 1 S Z 1 n Z α Z ), = n k L k (T e ) k=0,z All coefficients S k, α k, L k are functions of T e. NIST (FLYCHK code) provides these coefficients for all the periodic table in the temperature range 0.5 [ev] to 100 [kev]. Have implemented in C++ the coefficients for H, He, O, Ar, Kr and Xe. Little work needed to add other elements if that is needed. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
9 Test calculation for Oxygen R. A. Hulse, Numerical studies of impurities in fusion plasmas, Nuclear Technol/Fusion 3, (1983). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
10 Test calculation for Oxygen (time-dependent radiation loss) R. A. Hulse, Numerical studies of impurities in fusion plasmas, Nuclear Technol/Fusion 3, (1983). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
11 Magnetized plasma closure (Introduction) (ρ j v j ) t = Πj + k R jk ɛ e t = q j Πj: v j + k Q jk indicate terms not related to collisions, R jk represents transfer of momentum between the species j and k due to collisions, q j represents flux of heat due to the temperature gradient T j and Ohmic heating, Π represents the off-diagonal part of the pressure tensor, Q jk represents collisional energy transfer between the species j and k. This term is proportional to the temperature difference T k T j. The purpose of a fluid closure is to provide explicit expressions for R jk, q j, Π and Q jk in terms of n j, v j, T j and the magnetic field strength. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
12 Magnetized plasma closure (literature) N. A. Bobrova et. al, Magnetohydrodynamic two-temperature equations for multicomponent plasma, Phys. Plasmas 12, (2005). E. T. Meier and U. Shumlak, A general nonlinear fluid model for reacting plasma-neutral mixture, Phys. Plasmas 19, (2012). E. M. Epperlein and M. G. Heines, Plasma transport coefficients in a magnetic field by direct numerical simulation of the Fokker-Planck equation, Phys. Fluids 29, (1986). A. Decoster, Fluid equations and transport coefficients in plasmas, in Modeling Collisions, Elsevier Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
13 Magnetized plasma closure (results) E. M. Epperlein and M. G. Haines, Plasma transport coefficients in a magnetic field by direct numerical solution of the Fokker-Planck equation, Phys. Fluids 29, (1986). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
14 Conclusions We have implemented in stand-alone C++ code The CR data for H, He, O, Ar, Kr and Xe. Magnetized plasma closure for electron-ion-neutral mixture. Applied field modules for the FRC experiment setup including the DC coils and the RMF antenna. The 2D r θ model is currently implemented in modern fortran. A C++ version which uses the SUNDIALS ODE solver suite is being written to be included in our software framework (SMURF). Work on multi-dimensional fluid models using the Finite Element method and unstructured grids is ongoing and will be reported in the near future. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
15 Extra Slides. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
16 Assumptions of 2D RMF model Frequency condition for current drive ω ci < ω < ω ce. Infinitely long plasma cyclinder lying in a uniform magnetic field. All quantities are assumed independent of axial location z. The ions form a uniformly distributed neutralizing background of fixed, massive positive charges. The plasma resistivity, η, is taken to be a scalar quantity which is constant in time and uniform on space. In particular, η is assumed to be of the form η = m eν ei n e e 2 Electron inertia is neglected; that is it is assumed that ω ω ce, ν ei. The displacement current is neglected. This implies that only systems for which ωr p /c, where r p is the plasma radius, are considered. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
17 FRC formation with RMF (Rotating Magnetic Field) Illustration of 2D (r θ) RMF formation FRC. Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
18 Test calculation for Iron R. A. Hulse, Numerical studies of impurities in fusion plasmas, Nuclear Technol/Fusion 3, (1983). Artan Qerushi (AFRL) FRC modeling overview (July 2014-present) January 20th, / 18
Fluid 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 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 informationMHD 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 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 informationProgress in the Plasma Science and Innovation Center
1 THP/2-02 Progress in the Plasma Science and Innovation Center U. Shumlak 1, C. Akcay 1, A. H. Glasser 1, C. J. Hansen 1, E. D. Held 2, T. R. Jarboe 1, J.-Y. Ji 2, C. Kim 1, W. Lowrie 1, V. S. Lukin 4,
More informationThe 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 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 informationR. Clark, D. Humbert, K. Sheikh Nuclear Data Section
Calculation of Atomic Data for Plasma Modeling: Introduction and Atomic Structure Part 1 R. Clark, D. Humbert, K. Sheikh Nuclear Data Section Overview Plasmas in fusion research Data needs for plasma modeling
More informationSelf-Organization of Plasmas with Flows
Self-Organization of Plasmas with Flows ICNSP 2003/ 9/10 Graduate School of Frontier Sciences,, National Institute for Fusion Science R. NUMATA, Z. YOSHIDA, T. HAYASHI ICNSP 2003/ 9/10 p.1/14 Abstract
More informationWeibel instability and filamentary structures of a relativistic electron beam in plasma
Mitglied der Helmholtz-Gemeinschaft 7 th Direct Drive and Fast Ignition Workshop Prague, 3-6 May, 009 Weibel instability and filamentary structures of a relativistic electron beam in plasma Anupam Karmakar
More informationMonte Carlo Collisions in Particle in Cell simulations
Monte Carlo Collisions in Particle in Cell simulations Konstantin Matyash, Ralf Schneider HGF-Junior research group COMAS : Study of effects on materials in contact with plasma, either with fusion or low-temperature
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 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 informationA half submerged metal sphere (UIC comprehensive
Problem 1. exam) A half submerged metal sphere (UIC comprehensive A very light neutral hollow metal spherical shell of mass m and radius a is slightly submerged by a distance b a below the surface of a
More informationNeoclassical transport
Neoclassical transport Dr Ben Dudson Department of Physics, University of York Heslington, York YO10 5DD, UK 28 th January 2013 Dr Ben Dudson Magnetic Confinement Fusion (1 of 19) Last time Toroidal devices
More informationTHE SHEARED-FLOW STABILIZED Z-PINCH
THE SHEARED-FLOW STABILIZED Z-PINCH U. Shumlak* J. Chadney R.P. Golingo D.J. Den Hartog M.C. Hughes S.D. Knecht W. Lowrie V.S. Lukin B.A. Nelson R.J. Oberto J.L. Rohrbach M.P. Ross and G.V. Vogman *University
More informationMulti-fluid Simulation Models for Inductively Coupled Plasma Sources
Multi-fluid Simulation Models for Inductively Coupled Plasma Sources Madhusudhan Kundrapu, Seth A. Veitzer, Peter H. Stoltz, Kristian R.C. Beckwith Tech-X Corporation, Boulder, CO, USA and Jonathan Smith
More information22.615, MHD Theory of Fusion Systems Prof. Freidberg Lecture 14: Formulation of the Stability Problem
.65, MHD Theory of Fusion Systems Prof. Freidberg Lecture 4: Formulation of the Stability Problem Hierarchy of Formulations of the MHD Stability Problem for Arbitrary 3-D Systems. Linearized equations
More informationProgress in Vlasov-Fokker- Planck simulations of laserplasma
Progress in Vlasov-Fokker- Planck simulations of laserplasma interactions C. P. Ridgers, M. W. Sherlock, R. J. Kingham, A.Thomas, R. Evans Imperial College London Outline Part 1 simulations of long-pulse
More informationNONLINEAR ELECTROMAGNETICS MODEL OF AN ASYMMETRICALLY DRIVEN CAPACITIVE DISCHARGE
NONLINEAR ELECTROMAGNETICS MODEL OF AN ASYMMETRICALLY DRIVEN CAPACITIVE DISCHARGE M.A. Lieberman Department of Electrical Engineering and Computer Sciences University of California Berkeley, CA 94720 Collaborators:
More informationA Comparison between the Two-fluid Plasma Model and Hall-MHD for Captured Physics and Computational Effort 1
A Comparison between the Two-fluid Plasma Model and Hall-MHD for Captured Physics and Computational Effort 1 B. Srinivasan 2, U. Shumlak Aerospace and Energetics Research Program University of Washington,
More informationOverview of Accelerated Simulation Methods for Plasma Kinetics
Overview of Accelerated Simulation Methods for Plasma Kinetics R.E. Caflisch 1 In collaboration with: J.L. Cambier 2, B.I. Cohen 3, A.M. Dimits 3, L.F. Ricketson 1,4, M.S. Rosin 1,5, B. Yann 1 1 UCLA Math
More informationModeling 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 information0 Magnetically Confined Plasma
0 Magnetically Confined Plasma 0.1 Particle Motion in Prescribed Fields The equation of motion for species s (= e, i) is written as d v ( s m s dt = q s E + vs B). The motion in a constant magnetic field
More informationFluid Equations for Rarefied Gases
1 Fluid Equations for Rarefied Gases Jean-Luc Thiffeault Department of Applied Physics and Applied Mathematics Columbia University http://plasma.ap.columbia.edu/~jeanluc 23 March 2001 with E. A. Spiegel
More informationAPPENDIX Z. USEFUL FORMULAS 1. Appendix Z. Useful Formulas. DRAFT 13:41 June 30, 2006 c J.D Callen, Fundamentals of Plasma Physics
APPENDIX Z. USEFUL FORMULAS 1 Appendix Z Useful Formulas APPENDIX Z. USEFUL FORMULAS 2 Key Vector Relations A B = B A, A B = B A, A A = 0, A B C) = A B) C A B C) = B A C) C A B), bac-cab rule A B) C D)
More informationThe Virial Theorem, MHD Equilibria, and Force-Free Fields
The Virial Theorem, MHD Equilibria, and Force-Free Fields Nick Murphy Harvard-Smithsonian Center for Astrophysics Astronomy 253: Plasma Astrophysics February 10 12, 2014 These lecture notes are largely
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 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 informationPhysics of High Pressure Helicon Plasma and Effect of Wavenumber Spectrum
(1)Title Physics of High Pressure Helicon Plasma and Effect of Wavenumber Spectrum Interdisciplinary Graduate School of Engineering Sciences, Kyushu Univeristy, Japan Shunjiro SHINOHARA Scientific Center
More informationAMSC 663 Project Proposal: Upgrade to the GSP Gyrokinetic Code
AMSC 663 Project Proposal: Upgrade to the GSP Gyrokinetic Code George Wilkie (gwilkie@umd.edu) Supervisor: William Dorland (bdorland@umd.edu) October 11, 2011 Abstract Simulations of turbulent plasma in
More informationA Study of 3-Dimensional Plasma Configurations using the Two-Fluid Plasma Model
A Study of 3-Dimensional Plasma Configurations using the Two-Fluid Plasma Model B. Srinivasan, U. Shumlak Aerospace and Energetics Research Program University of Washington IEEE International Conference
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 informationModule I: Electromagnetic waves
Module I: Electromagnetic waves Lecture 9: EM radiation Amol Dighe Outline 1 Electric and magnetic fields: radiation components 2 Energy carried by radiation 3 Radiation from antennas Coming up... 1 Electric
More informationPLASMA-NEUTRAL MODELING IN NIMROD. Uri Shumlak*, Sina Taheri*, Jacob King** *University of Washington **Tech-X Corporation April 2016
PLASMA-NEUTRAL MODELING IN NIMROD Uri Shumlak*, Sina Taheri*, Jacob King** *University of Washington **Tech-X Corporation April 2016 Plasma-Neutral Model Physical Model is derived by E. Meier and U. Shumlak*
More informationOn existence of resistive magnetohydrodynamic equilibria
arxiv:physics/0503077v1 [physics.plasm-ph] 9 Mar 2005 On existence of resistive magnetohydrodynamic equilibria H. Tasso, G. N. Throumoulopoulos Max-Planck-Institut für Plasmaphysik Euratom Association
More informationIntegrated Modeling of Fast Ignition Experiments
Integrated Modeling of Fast Ignition Experiments Presented to: 9th International Fast Ignition Workshop Cambridge, MA November 3-5, 2006 R. P. J. Town AX-Division Lawrence Livermore National Laboratory
More informationGenerating of fusion plasma neutron source with AFSI for Serpent MC neutronics computing Serpent UGM 2015 Knoxville, TN,
Generating of fusion plasma neutron source with AFSI for Serpent MC neutronics computing Serpent UGM 2015 Knoxville, TN, 14.10.2015 Paula Sirén VTT Technical Research Centre of Finland, P.O Box 1000, 02044
More informationEUV spectra from the NIST EBIT
EUV spectra from the NIST EBIT D. Kilbane and G. O Sullivan Atomic and Molecular Plasma Physics group, UCD, Ireland J. D. Gillaspy, Yu. Ralchenko and J. Reader National Institute of Standards and Technology,
More informationEstimating the plasma flow in a recombining plasma from
Paper P3-38 Estimating the plasma flow in a recombining plasma from the H α emission U. Wenzel a, M. Goto b a Max-Planck-Institut für Plasmaphysik (IPP) b National Institute for Fusion Science, Toki 509-5292,
More informationLow-field helicon discharges
Plasma Phys. Control. Fusion 39 (1997) A411 A420. Printed in the UK PII: S0741-3335(97)80958-X Low-field helicon discharges F F Chen, X Jiang, J D Evans, G Tynan and D Arnush University of California,
More informationA Three-Fluid Approach to Model Coupling of Solar Wind-Magnetosphere-Ionosphere- Thermosphere
A Three-Fluid Approach to Model Coupling of Solar Wind-Magnetosphere-Ionosphere- Thermosphere P. Song Center for Atmospheric Research University of Massachusetts Lowell V. M. Vasyliūnas Max-Planck-Institut
More informationMulti-Scale Simulations for Fast Ignition. H. Nagatomo, T. Johzaki, A. Sunahara, and K. Mima Institute of Laser Engineering g Osaka University
Multi-Scale Simulations for Fast Ignition and Related Laser Plasma Physics H. Nagatomo, T. Johzaki, A. Sunahara, and K. Mima Institute of Laser Engineering g Osaka University Y. Sentoku University of Nevada
More informationTheory and Simulation of Neoclassical Transport Processes, with Local Trapping
Theory and Simulation of Neoclassical Transport Processes, with Local Trapping Daniel H. E. Dubin Department of Physics, University of California at San Diego, La Jolla, CA USA 92093-0319 Abstract. Neoclassical
More informationLectures on basic plasma physics: Introduction
Lectures on basic plasma physics: Introduction Department of applied physics, Aalto University Compiled: January 13, 2016 Definition of a plasma Layout 1 Definition of a plasma 2 Basic plasma parameters
More informationTHE TOROIDAL HELICON EXPERIMENT AT IPR
THE TOROIDAL HELICON EXPERIMENT AT IPR Manash Kumar Paul Supervisor Prof. Dhiraj Bora D.D.G, ITER Acknowledgement Dr. S.K.P.Tripathi UCLA Institute for Plasma Research Gandhinagar, Gujarat (India) MOTIVATION
More informationブラックホール磁気圏での 磁気リコネクションの数値計算 熊本大学 小出眞路 RKKコンピュー 森野了悟 ターサービス(株) BHmag2012,名古屋大学,
RKK ( ) BHmag2012,, 2012.2.29 Outline Motivation and basis: Magnetic reconnection around astrophysical black holes Standard equations of resistive GRMHD Test calculations of resistive GRMHD A simulation
More informationCollisions and transport phenomena
Collisions and transport phenomena Collisions in partly and fully ionized plasmas Typical collision parameters Conductivity and transport coefficients Conductivity tensor Formation of the ionosphere and
More informationFundamentals of Plasma Physics
Fundamentals of Plasma Physics Definition of Plasma: A gas with an ionized fraction (n i + + e ). Depending on density, E and B fields, there can be many regimes. Collisions and the Mean Free Path (mfp)
More informationPropagation of Radio Frequency Waves Through Density Filaments
PSFC/JA-15-13 Propagation of Radio Frequency Waves Through Density Filaments A. K. Ram and K. Hizanidis a May 015 a National Technical University of Athens (part of HELLAS) School of Electrical and Computer
More informationINTRODUCTION TO FLUID MECHANICS June 27, 2013
INTRODUCTION TO FLUID MECHANICS June 27, 2013 PROBLEM 3 (1 hour) A perfect liquid of constant density ρ and constant viscosity µ fills the space between two infinite parallel walls separated by a distance
More informationPlasma Simulation in STAR-CCM+ -- towards a modern software tool
Plasma Simulation in STAR-CCM+ -- towards a modern software tool 1 Introduction Electrical arcs and other forms of industrial plasmas have a large number of technical applications, including circuit breakers,
More informationFeature-level Compensation & Control
Feature-level Compensation & Control 2 Plasma Eray Aydil, UCSB, Mike Lieberman, UCB and David Graves UCB Workshop November 19, 2003 Berkeley, CA 3 Feature Profile Evolution Simulation Eray S. Aydil University
More informationThe importance of including XMHD physics in HED codes
The importance of including XMHD physics in HED codes Charles E. Seyler, Laboratory of Plasma Studies, School of Electrical and Computer Engineering, Cornell University Collaborators: Nat Hamlin (Cornell)
More informationPredicting the Rotation Profile in ITER
Predicting the Rotation Profile in ITER by C. Chrystal1 in collaboration with B. A. Grierson2, S. R. Haskey2, A. C. Sontag3, M. W. Shafer3, F. M. Poli2, and J. S. degrassie1 1General Atomics 2Princeton
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 information14. 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 informationPHYSICS OF HOT DENSE PLASMAS
Chapter 6 PHYSICS OF HOT DENSE PLASMAS 10 26 10 24 Solar Center Electron density (e/cm 3 ) 10 22 10 20 10 18 10 16 10 14 10 12 High pressure arcs Chromosphere Discharge plasmas Solar interior Nd (nω) laserproduced
More informationSheared Flow Stabilization in the Z-Pinch
1 IF/P7-28 Sheared Flow Stabilization in the Z-Pinch U. Shumlak, C.S. Adams, J.M. Blakely, B.J. Chan, R.P. Golingo, S.D. Knecht, B.A. Nelson, R.J. Oberto, M.R. Sybouts, and G.V. Vogman Aerospace & Energetics
More informationA cylinder in a magnetic field (Jackson)
Problem 1. A cylinder in a magnetic field (Jackson) A very long hollow cylinder of inner radius a and outer radius b of permeability µ is placed in an initially uniform magnetic field B o at right angles
More informationReal Plasma with n, T ~ p Equilibrium: p = j B
Real Plasma with n, T ~ p Equilibrium: p = j B B lines must lie in isobaric surfaces. Since B = 0, only possible if isobaric surfaces are topological tori. Magnetic field lines must form nested tori. Equilibrium
More informationAugust 2013 Qualifying Exam. Part II
August 2013 Qualifying Exam Part II Mathematical tables are allowed. Formula sheets are provided. Calculators are allowed. Please clearly mark the problems you have solved and want to be graded. Do only
More informationPlasma Spectroscopy Inferences from Line Emission
Plasma Spectroscopy Inferences from Line Emission Ø From line λ, can determine element, ionization state, and energy levels involved Ø From line shape, can determine bulk and thermal velocity and often
More informationPlasma instabilities. Dr Ben Dudson, University of York 1 / 37
Plasma instabilities Dr Ben Dudson, University of York 1 / 37 Previously... Plasma configurations and equilibrium Linear machines, and Stellarators Ideal MHD and the Grad-Shafranov equation Collisional
More informationFluid Dynamics and Balance Equations for Reacting Flows
Fluid Dynamics and Balance Equations for Reacting Flows Combustion Summer School 2018 Prof. Dr.-Ing. Heinz Pitsch Balance Equations Basics: equations of continuum mechanics balance equations for mass and
More informationStudies of Lower Hybrid Range of Frequencies Actuators in the ARC Device
Studies of Lower Hybrid Range of Frequencies Actuators in the ARC Device P. T. Bonoli, Y. Lin. S. Shiraiwa, G. M. Wallace, J. C. Wright, and S. J. Wukitch MIT PSFC, Cambridge, MA 02139 59th Annual Meeting
More informationFokker-Planck Simulation Study of Hot-Tail Effect on Runaway Electron Generation in ITER Disruptions )
Fokker-Planck Simulation Study of Hot-Tail Effect on Runaway Electron Generation in ITER Disruptions ) Hideo NUGA, Akinobu MATSUYAMA 1), Masatoshi YAGI 1) and Atsushi FUKUYAMA Kyoto University, Kyoto-Daigaku-Katsura,
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 informationLow Temperature Plasma Technology Laboratory
Low Temperature Plasma Technology Laboratory CENTRAL PEAKING OF MAGNETIZED GAS DISCHARGES Francis F. Chen and Davide Curreli LTP-1210 Oct. 2012 Electrical Engineering Department Los Angeles, California
More informationPlasma instability during ITBs formation with pellet injection in tokamak
Plasma instability during ITBs formation with pellet injection in tokamak P. Klaywittaphat 1, B. Chatthong 2, T. Onjun. R. Picha 3, J. Promping 3 1 Faculty of Engineering, Thaksin University, Phatthalung,
More informationPredictive Engineering and Computational Sciences. Detailed and simplified kinetic mechanisms for high enthalpy flows
Marco Panesi Non-equilibriumst ionization January 31 st, 211 1 / 22 PECOS Predictive Engineering and Computational Sciences Detailed and simplified kinetic mechanisms for high enthalpy flows Application
More informationTheoretical Analysis of Formation and Sustainment Methods for Compact Toroids
Brazilian Journal of Physics, vol. 34, no. 4B, Decemer, 24 1621 Theoretical Analysis of Formation and Sustainment Methods for Compact Toroids Ricardo Farengo, Agustín F. Lifschitz, Hugo E. Ferrari, Seastián
More informationParticle Pinch Model of Passing/Trapped High-Z Impurity with Centrifugal Force Effect )
Particle Pinch Model of Passing/Trapped High-Z Impurity with Centrifugal Force Effect ) Yusuke SHIMIZU, Takaaki FUJITA, Atsushi OKAMOTO, Hideki ARIMOTO, Nobuhiko HAYASHI 1), Kazuo HOSHINO 2), Tomohide
More informationLinear and Nonlinear Dust Acoustic Waves, Shocks and Stationary Structures in DC-Glow-Discharge Dusty Plasma Experiments.
53rd Annual Meeting of the APS Division of Plasma Physics BI2.00005 Monday November 14, 2011 Linear and Nonlinear Dust Acoustic Waves, Shocks and Stationary Structures in DC-Glow-Discharge Dusty Plasma
More informationRELATIVISTIC EFFECTS IN ELECTRON CYCLOTRON RESONANCE HEATING AND CURRENT DRIVE
RELATIVISTIC EFFECTS IN ELECTRON CYCLOTRON RESONANCE HEATING AND CURRENT DRIVE Abhay K. Ram Plasma Science and Fusion Center Massachusetts Institute of Technology Cambridge, MA 02139. U.S.A. Joan Decker
More informationEquilibrium and transport in Tokamaks
Equilibrium and transport in Tokamaks Jacques Blum Laboratoire J.-A. Dieudonné, Université de Nice Sophia-Antipolis Parc Valrose 06108 Nice Cedex 02, France jblum@unice.fr 08 septembre 2008 Jacques Blum
More informationFluid Equations for Rarefied Gases
1 Fluid Equations for Rarefied Gases Jean-Luc Thiffeault Department of Applied Physics and Applied Mathematics Columbia University http://plasma.ap.columbia.edu/~jeanluc 21 May 2001 with E. A. Spiegel
More information26. Non-linear effects in plasma
Phys780: Plasma Physics Lecture 26. Non-linear effects. Collisionless shocks.. 1 26. Non-linear effects in plasma Collisionless shocks ([1], p.405-421, [6], p.237-245, 249-254; [4], p.429-440) Collisionless
More informationModelling of plasma edge turbulence with neutrals
Modelling of plasma edge turbulence with neutrals Ben Dudson 1 1 York Plasma Institute, Department of Physics, University of York, Heslington, York YO1 5DD, UK 7 th IAEA TM on Plasma Instabilities 4-6
More informationFundamentals of Plasma Physics Transport in weakly ionized plasmas
Fundamentals of Plasma Physics Transport in weakly ionized plasmas APPLAuSE Instituto Superior Técnico Instituto de Plasmas e Fusão Nuclear Luís L Alves (based on Vasco Guerra s original slides) 1 As perguntas
More informationEffect of Ion Orbit Loss on Rotation and the Radial Electric Field in the DIII-D Tokamak
Effect of Ion Orbit Loss on Rotation and the Radial Electric Field in the DIII-D Tokamak by T.M. Wilks 1 with W.M. Stacey 1 and T.E. Evans 2 1 Georgia Institute of Technology 2 General Atomics Presented
More informationNon-ohmic ignition scenarios in Ignitor
Non-ohmic ignition scenarios in Ignitor Augusta Airoldi IFP, EURATOM-ENEA-CNR Association, Milano, Italy Francesca Bombarda, Giovanna Cenacchi Ignitor Group, ENEA, Italy Bruno Coppi MIT, USA DPP1 APS Meeting
More informationMONTE CARLO SIMULATION OF RADIATION TRAPPING IN ELECTRODELESS LAMPS: A STUDY OF COLLISIONAL BROADENERS*
MONTE CARLO SIMULATION OF RADIATION TRAPPING IN ELECTRODELESS LAMPS: A STUDY OF COLLISIONAL BROADENERS* Kapil Rajaraman** and Mark J. Kushner*** **Department of Physics ***Department of Electrical and
More informationIMPURITY ANALYSIS AND MODELING OF DIII-D RADIATIVE MANTLE DISCHARGES
IMPURITY ANALYSIS AND MODELING OF DIII-D RADIATIVE MANTLE DISCHARGES J. Mandrekas, W.M. Stacey Georgia Institute of Technology M. Murakami, M.R. Wade ORNL G. L. Jackson General Atomics Presented at the
More informationTests of Profile Stiffness Using Modulated Electron Cyclotron Heating
Tests of Profile Stiffness Using Modulated Electron Cyclotron Heating by T.C. Luce in collaboration with J.C. DeBoo, C.C. Petty, J. Pino, J.M. Nelson, and J.C.M. dehaas Presented at 9th EU-US Transport
More informationElectromagnetics in COMSOL Multiphysics is extended by add-on Modules
AC/DC Module Electromagnetics in COMSOL Multiphysics is extended by add-on Modules 1) Start Here 2) Add Modules based upon your needs 3) Additional Modules extend the physics you can address 4) Interface
More informationModelling 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 informationMathematical Modelling of a Magnetized Target Fusion Reactor
Mathematical Modelling of a Magnetized Target Fusion Reactor Michael PIC Assistant Adjunct Professor, Mathematics UCLA April 20, 2016 Context A Canadian research company General Fusion (2002-Present, Michel
More informationINFLUENCE OF THERMODIFFUSIVE PARTICLE TRANSPORT ON THERMOMAGNETIC CONVECTION IN MAGNETIC FLUIDS
MAGNETOHYDRODYNAMICS Vol. 49 (2013), No. 3-4, pp. 473 478 INFLUENCE OF THERMODIFFUSIVE PARTICLE TRANSPORT ON THERMOMAGNETIC CONVECTION IN MAGNETIC FLUIDS TU Dresden, Chair of Magnetofluiddynamics, Measuring
More informationApplication Of Faraday s Law
Application Of Faraday s Law Dr Miguel Cavero September 2, 2014 Application Of Faraday s Law September 2, 2014 1 / 23 The PHYS120 Exam will be divided into three sections as follows: Section A: Short Questions
More informationApplication of Rarefied Flow & Plasma Simulation Software
2016/5/18 Application of Rarefied Flow & Plasma Simulation Software Yokohama City in Japan Profile of Wave Front Co., Ltd. Name : Wave Front Co., Ltd. Incorporation : March 1990 Head Office : Yokohama
More informationNautilus: Robust, positivity and divergence preserving code for multi-fluid, multi-species electromagnetics and plasma physics applications
Nautilus: Robust, positivity and divergence preserving code for multi-fluid, multi-species electromagnetics and plasma physics applications Ammar H. Hakim and John Loverich I. Background In this paper
More informationChapter 5 MAGNETIZED PLASMAS. 5.1 Introduction. 5.2 Diamagnetic current
Chapter 5 MAGNETIZED PLASMAS 5.1 Introduction We are now in a position to study the behaviour of plasma in a magnetic field. In the first instance we will re-examine particle diffusion and mobility with
More information12. MHD Approximation.
Phys780: Plasma Physics Lecture 12. MHD approximation. 1 12. MHD Approximation. ([3], p. 169-183) The kinetic equation for the distribution function f( v, r, t) provides the most complete and universal
More informationCritical edge gradients and flows with reversed magnetic field in Alcator C-Mod
Critical edge gradients and flows with reversed magnetic field in B. LaBombard, N. Smick, M. Greenwald, J.W. Hughes B. Lipschultz, K. Marr, J.L. Terry, Team Contributed talk JO1.00004 Presented at the
More informationNumerical Modeling of Radiative Kinetic Plasmas
2014 US-Japan JIFT Workshop on Progress in kinetic plasma simulations Oct.31-Nov.1, 2014, Salon F, New Orleans Marriott, New Orleans, LA, U.S.A Numerical Modeling of Radiative Kinetic Plasmas T. Johzaki
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 informationExperimental evaluation of nonlinear collision effect on the beam slowing-down process
P-2 Experimental evaluation of nonlinear collision effect on the beam slowing-down process H. Nuga R. Seki,2 S. Kamio M. Osakabe,2 M. Yokoyama,2 M. Isobe,2 K. Ogawa,2 National Institute for Fusion Science,
More informationAlex M Imai, Y. Ohta and A. Itoh Department of Nuclear Engineering, Kyoto University
Alex M Imai, Y. Ohta and A. Itoh Department of Nuclear Engineering, Kyoto University Joint IAEA-NFRI Technical Meeting on Data Evaluation for Atomic, Molecular and Plasma-Material Interaction Processes
More informationFluid Dynamics Exercises and questions for the course
Fluid Dynamics Exercises and questions for the course January 15, 2014 A two dimensional flow field characterised by the following velocity components in polar coordinates is called a free vortex: u r
More information