Overview of FRC-related modeling (July 2014-present)
|
|
|
- Philip Austin
- 1 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
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
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
The 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
Estimating 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,
On 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
Fundamentals 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)
INTRODUCTION 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
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
August 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
Plasma 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
Plasma 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,
Plasma 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,
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,
Electromagnetics 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
Application 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
12. 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
2/8/16 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
GCSE to A-level progression
GCSE to A-level progression AQA A-level Physics should be a natural progression from the GCSE course and there are many familiar topics that are taken a stage further. Some topics, such as electricity,
Nonlinear Diffusion in Magnetized Discharges. Francis F. Chen. Electrical Engineering Department
Nonlinear Diffusion in Magnetized Discharges Francis F. Chen Electrical Engineering Department PPG-1579 January, 1998 Revised April, 1998 Nonlinear Diffusion in Magnetized Discharges Francis F. Chen Electrical
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
On Electron-Cyclotron Waves in Relativistic Non-Thermal Tokamak Plasmas
1 On Electron-Cyclotron Waves in Relativistic Non-Thermal Tokamak Plasmas Lj. Nikolić and M.M. Škorić Vinča Institute of Nuclear Sciences, P.O.Box 522, Belgrade 11001, Serbia and Montenegro ljnikoli@tesla.rcub.bg.ac.yu
Application 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
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
Modélisation de sources plasma froid magnétisé
Modélisation de sources plasma froid magnétisé Gerjan Hagelaar Groupe de Recherche Energétique, Plasma & Hors Equilibre (GREPHE) Laboratoire Plasma et Conversion d Énergie (LAPLACE) Université Paul Sabatier,
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
Magnetized Target Fusion collaboration 2004: recent progress
Magnetized Target Fusion collaboration 2004: recent progress T. Intrator for the MTF collaboration Los Alamos National Laboratory Los Alamos, NM 87545 USA Innovative Confinement Concepts Workshop 25-28
Simulation of Coulomb Collisions in Plasma Accelerators for Space Applications
Simulation of Coulomb Collisions in Plasma Accelerators for Space Applications D. D Andrea 1, W.Maschek 1 and R. Schneider 2 Vienna, May 6 th 2009 1 Institut for Institute for Nuclear and Energy Technologies
Prof. dr. A. Achterberg, Astronomical Dept., IMAPP, Radboud Universiteit
Prof. dr. A. Achterberg, Astronomical Dept., IMAPP, Radboud Universiteit Rough breakdown of MHD shocks Jump conditions: flux in = flux out mass flux: ρv n magnetic flux: B n Normal momentum flux: ρv n
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
MODELING AND SIMULATION OF LOW TEMPERATURE PLASMA DISCHARGES
MODELING AND SIMULATION OF LOW TEMPERATURE PLASMA DISCHARGES Michael A. Lieberman University of California, Berkeley lieber@eecs.berkeley.edu DOE Center on Annual Meeting May 2015 Download this talk: http://www.eecs.berkeley.edu/~lieber
1 Introduction to Governing Equations 2 1a Methodology... 2
Contents 1 Introduction to Governing Equations 2 1a Methodology............................ 2 2 Equation of State 2 2a Mean and Turbulent Parts...................... 3 2b Reynolds Averaging.........................
Ideal 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
arxiv:physics/ v1 [physics.plasm-ph] 5 Nov 2004
![arxiv:physics/ v1 [physics.plasm-ph] 5 Nov 2004](/thumbs/72/67704246.jpg "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
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
Basic Study on the Generation of RF Plasmas in Premixed Oxy-combustion with Methane
Basic Study on the Generation of RF Plasmas in Premixed Oxy-combustion with Methane Yugo OSAKA, Noriyuki KOBAYASHI 1), M.A.RAZZAK 2), Noriyasu OHNO 1), Shuichi TAKAMURA 3) and Yoshihiko UESUGI 4) Department
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
Effects of Forcing Scheme on the Flow and the Relative Motion of Inertial Particles in DNS of Isotropic Turbulence
Effects of Forcing Scheme on the Flow and the Relative Motion of Inertial Particles in DNS of Isotropic Turbulence Rohit Dhariwal and Vijaya Rani PI: Sarma L. Rani Department of Mechanical and Aerospace
SOLAR MHD Lecture 2 Plan
SOLAR MHD Lecture Plan Magnetostatic Equilibrium ü Structure of Magnetic Flux Tubes ü Force-free fields Waves in a homogenous magnetized medium ü Linearized wave equation ü Alfvén wave ü Magnetoacoustic
SW103: Lecture 2. Magnetohydrodynamics and MHD models
SW103: Lecture 2 Magnetohydrodynamics and MHD models Scale sizes in the Solar Terrestrial System: or why we use MagnetoHydroDynamics Sun-Earth distance = 1 Astronomical Unit (AU) 200 R Sun 20,000 R E 1
ANTENNAS. Vector and Scalar Potentials. Maxwell's Equations. E = jωb. H = J + jωd. D = ρ (M3) B = 0 (M4) D = εe
ANTENNAS Vector and Scalar Potentials Maxwell's Equations E = jωb H = J + jωd D = ρ B = (M) (M) (M3) (M4) D = εe B= µh For a linear, homogeneous, isotropic medium µ and ε are contant. Since B =, there
5.1 Fluid momentum equation Hydrostatics Archimedes theorem The vorticity equation... 42
Chapter 5 Euler s equation Contents 5.1 Fluid momentum equation........................ 39 5. Hydrostatics................................ 40 5.3 Archimedes theorem........................... 41 5.4 The
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
AQA Physics Checklist
Topic 1. Energy Video: Energy changes in a system To understand the ways in which energy can be stored in a system and can be transferred from one energy store to another within a system To understand
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
Fokker-Planck Equation with Detailed Balance
Appendix E Fokker-Planck Equation with Detailed Balance A stochastic process is simply a function of two variables, one is the time, the other is a stochastic variable X, defined by specifying: a: the
Lund/Barnard USPAS Problem 1
Problem Lund/Barnard USPAS 207 Consider a round uniform ion beam with a current of ampere, composed of Hg + ions (atomic mass A =200), a kinetic energy of 2 MeV, a beam radius of 2 cm and normalized emittance
Space Plasma Physics Thomas Wiegelmann, 2012
Space Plasma Physics Thomas Wiegelmann, 2012 1. Basic Plasma Physics concepts 2. Overview about solar system plasmas Plasma Models 3. Single particle motion, Test particle model 4. Statistic description
Slide 1. Temperatures Light (Optoelectronics) Magnetic Fields Strain Pressure Displacement and Rotation Acceleration Electronic Sensors
Slide 1 Electronic Sensors Electronic sensors can be designed to detect a variety of quantitative aspects of a given physical system. Such quantities include: Temperatures Light (Optoelectronics) Magnetic
Contents Motivation Particle In Cell Method Projects Plasma and Ion Beam Simulations
PIC Method for Numerical Simulation Ninad Joshi NNP Group 1 Contents Motivation Particle In Cell Method Projects Plasma and Ion Beam Simulations Motivation 3 Particle simulation Ion beams and Plasmas Accelerators
where the index 2 indicates the particle species (electrons and different ion species if present). With
hapter 3 Magnetohydrodynamics luid equations are probably the most widely used equations for the description of inhomogeneous plasmas. While the phase fluid which is governed by the Boltzmann equation
Exercises in field theory
Exercises in field theory Wolfgang Kastaun April 30, 2008 Faraday s law for a moving circuit Faradays law: S E d l = k d B d a dt S If St) is moving with constant velocity v, it can be written as St) E
Radiative Cooling and Collapse- Comparative study of a range of gases
Radiative Cooling and Collapse- Comparative study of a range of gases Jalil Ali 1, S H Saw 2,3, M Akel 4 and S Lee 2,3,5 1 Institute of Advanced Photonic Science, Nanotechnology Research Alliance, Universiti
MIDSUMMER EXAMINATIONS 2001
No. of Pages: 7 No. of Questions: 10 MIDSUMMER EXAMINATIONS 2001 Subject PHYSICS, PHYSICS WITH ASTROPHYSICS, PHYSICS WITH SPACE SCIENCE & TECHNOLOGY, PHYSICS WITH MEDICAL PHYSICS Title of Paper MODULE
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
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
Electromagnetism Phys 3230 Exam 2005
Electromagnetism Phys Exam 5 All four questions in Phys should be addressed. If one is not certain in maths, one should try to present explanations in words. 1. Maxwell s equations (5% from 1 given for
Ph.D. QUALIFYING EXAMINATION PART A. Tuesday, January 3, 2012, 1:00 5:00 P.M.
PhD QUALIFYING EXAMINATION PART A Tuesday, January 3, 212, 1: 5: PM Work each problem on a separate sheet(s) of paper and put your identifying number on each page Do not use your name Each problem has
Multi-Scale Modeling of Turbulence and Microphysics in Clouds. Steven K. Krueger University of Utah
Multi-Scale Modeling of Turbulence and Microphysics in Clouds Steven K. Krueger University of Utah 10,000 km Scales of Atmospheric Motion 1000 km 100 km 10 km 1 km 100 m 10 m 1 m 100 mm 10 mm 1 mm Planetary
Ultra-Cold Plasma: Ion Motion
Ultra-Cold Plasma: Ion Motion F. Robicheaux Physics Department, Auburn University Collaborator: James D. Hanson This work supported by the DOE. Discussion w/ experimentalists: Rolston, Roberts, Killian,
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
PHYS 390 Lecture 23 - Photon gas 23-1
PHYS 39 Lecture 23 - Photon gas 23-1 Lecture 23 - Photon gas What's Important: radiative intensity and pressure stellar opacity Text: Carroll and Ostlie, Secs. 9.1 and 9.2 The temperature required to drive
FIITJEE Solutions to AIEEE PHYSICS
FTJEE Solutions to AEEE - 7 -PHYSCS Physics Code-O 4. The displacement of an object attached to a spring and executing simple harmonic motion is given by x = cos πt metres. The time at which the maximum
Max Planck Institut für Plasmaphysik
ASDEX Upgrade Max Planck Institut für Plasmaphysik 2D Fluid Turbulence Florian Merz Seminar on Turbulence, 08.09.05 2D turbulence? strictly speaking, there are no two-dimensional flows in nature approximately
Flow dynamics and plasma heating of spheromaks in SSX
Flow dynamics and plasma heating of spheromaks in SSX M. R. Brown and C. D. Cothran, D. Cohen, J. Horwitz, and V. Chaplin Department of Physics and Astronomy Center for Magnetic Self Organization Swarthmore
Lecture11: Plasma Physics 1. APPH E6101x Columbia University
Lecture11: Plasma Physics 1 APPH E6101x Columbia University 1 Last Lecture Introduction to plasma waves Basic review of electromagnetic waves in various media (conducting, dielectric, gyrotropic, ) Basic
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
Electron Transport Behavior in a Mirror Magnetic Field and a Non-uniform Electric Field
Commun. Theor. Phys. (Beijing, China) 35 (2001) pp. 207 212 c International Academic Publishers Vol. 35, No. 2, February 15, 2001 Electron Transport Behavior in a Mirror Magnetic Field and a Non-uniform
Solar and atmospheric neutrinos as background for direct dark matter searches
Solar and atmospheric neutrinos as background for direct dark matter searches Achim Gütlein TU-München Joined seminar on neutrinos and dark matter.0.0 utline Direct Dark Matter Search eutrinos as background
ρ c (2.1) = 0 (2.3) B = 0. (2.4) E + B
Chapter 2 Basic Plasma Properties 2.1 First Principles 2.1.1 Maxwell s Equations In general magnetic and electric fields are determined by Maxwell s equations, corresponding boundary conditions and the
Level Set Tumor Growth Model
Level Set Tumor Growth Model Andrew Nordquist and Rakesh Ranjan, PhD University of Texas, San Antonio July 29, 2013 Andrew Nordquist and Rakesh Ranjan, PhD (University Level Set of Texas, TumorSan Growth
Study of Coulomb collisions and magneto-ionic propagation effects on ISR measurements at Jicamarca
Study of Coulomb collisions and magneto-ionic propagation effects on ISR measurements at Jicamarca Marco A. Milla Jicamarca Radio Observatory JIREP Program Jicamarca ISR measurements perp. to B Incoherent
Gas Dynamics: Basic Equations, Waves and Shocks
Astrophysical Dynamics, VT 010 Gas Dynamics: Basic Equations, Waves and Shocks Susanne Höfner Susanne.Hoefner@fysast.uu.se Astrophysical Dynamics, VT 010 Gas Dynamics: Basic Equations, Waves and Shocks
Introduction to Fusion Physics
Introduction to Fusion Physics J. W. Haverkort October 15, 2009 Abstract This is a summary of the first eight chapters from the book Plasma Physics and Fusion Energy by Jeffrey P. Freidberg. Contents 2
Radiative MHD. in Massive Star Formation and Accretion Disks. Rolf Kuiper, Hubert Klahr, Mario Flock, Henrik Beuther, Thomas Henning
Radiative MHD in Massive Star Formation and Accretion Disks, Hubert Klahr, Mario Flock, Henrik Beuther, Thomas Henning, Radiative MHD with Makemake and Pluto : We developed a fast 3D frequency-dependent
An Overview of Fluid Animation. Christopher Batty March 11, 2014
An Overview of Fluid Animation Christopher Batty March 11, 2014 What distinguishes fluids? What distinguishes fluids? No preferred shape. Always flows when force is applied. Deforms to fit its container.
Plasma Modeling with COMSOL Multiphysics
Plasma Modeling with COMSOL Multiphysics Copyright 2014 COMSOL. Any of the images, text, and equations here may be copied and modified for your own internal use. All trademarks are the property of their
Quantum Electronics/Laser Physics Chapter 4 Line Shapes and Line Widths
Quantum Electronics/Laser Physics Chapter 4 Line Shapes and Line Widths 4.1 The Natural Line Shape 4.2 Collisional Broadening 4.3 Doppler Broadening 4.4 Einstein Treatment of Stimulated Processes Width
Jacob s Ladder Controlling Lightning
Host: Fusion specialist: Jacob s Ladder Controlling Lightning PART 1 Jacob s ladder demonstration Video Teacher resources Phil Dooley European Fusion Development Agreement Peter de Vries European Fusion
A generalised Ladyzhenskaya inequality and a coupled parabolic-elliptic problem
A generalised Ladyzhenskaya inequality and a coupled parabolic-elliptic problem Dave McCormick joint work with James Robinson and José Rodrigo Mathematics and Statistics Centre for Doctoral Training University
CHAPTER 5 SIMULATION AND TEST SETUP FOR FAULT ANALYSIS
47 CHAPTER 5 SIMULATION AND TEST SETUP FOR FAULT ANALYSIS 5.1 INTRODUCTION This chapter describes the simulation model and experimental set up used for the fault analysis. For the simulation set up, the
Selected Topics in Plasma Astrophysics
Selected Topics in Plasma Astrophysics Range of Astrophysical Plasmas and Relevant Techniques Stellar Winds (Lecture I) Thermal, Radiation, and Magneto-Rotational Driven Winds Connections to Other Areas
Fundamentals of Mass Transfer
1 Fundamentals of Mass Transfer What is mass transfer? When a system contains two or more components whose concentrations vary from point to point, there is a natural tendency for mass to be transferred,
Simulations of the plasma dynamics in high-current ion diodes
Nuclear Instruments and Methods in Physics Research A 415 (1998) 473 477 Simulations of the plasma dynamics in high-current ion diodes O. Boine-Frankenheim *, T.D. Pointon, T.A. Mehlhorn Gesellschaft fu(
October 22, :00-16:00. web: math.ubc.ca/ MLRTLM. Math: the art in problem solving. Michael Lindstrom.
October 22, 2014 15:00-16:00 email: MLRTLM@math.ubc.ca web: math.ubc.ca/ MLRTLM Math is everywhere quantifiable descriptions glacier motion, spreading of diseases, market inflation, digitally recorded
The 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, B.A. Nelson, W. Lowrie, R.J. Oberto, M.P. Ross, J.L. Rohrbach, and G.V. Vogman Aerospace
Energy-Conserving Numerical Simulations of Electron Holes in Two-Species Plasmas
Energy-Conserving Numerical Simulations of Electron Holes in Two-Species Plasmas Yingda Cheng Andrew J. Christlieb Xinghui Zhong March 18, 2014 Abstract In this paper, we apply our recently developed energy-conserving
Cold Metastable Neon Atoms Towards Degenerated Ne*- Ensembles
Cold Metastable Neon Atoms Towards Degenerated Ne*- Ensembles Supported by the DFG Schwerpunktprogramm SPP 1116 and the European Research Training Network Cold Quantum Gases Peter Spoden, Martin Zinner,
Rotational & Rigid-Body Mechanics. Lectures 3+4
Rotational & Rigid-Body Mechanics Lectures 3+4 Rotational Motion So far: point objects moving through a trajectory. Next: moving actual dimensional objects and rotating them. 2 Circular Motion - Definitions
Analyses on the Ionization Instability of Non-Equilibrium Seeded Plasma in an MHD Generator
Plasma Science and Technology, Vol.18, No.6, Jun. 2016 Analyses on the Ionization Instability of Non-Equilibrium Seeded Plasma in an MHD Generator Le Chi KIEN Ho Chi Minh City University of Technology
Low Field MRI of Laser Polarized Noble Gases. Yuan Zheng, 4 th year seminar, Feb, 2013
Low Field MRI of Laser Polarized Noble Gases Yuan Zheng, 4 th year seminar, Feb, 2013 Outline Introduction to conventional MRI Low field MRI of Laser Polarized (LP) noble gases Spin Exchange Optical Pumping
March 11. Physics 272. Spring Prof. Philip von Doetinchem
Physics 272 March 11 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Spring 14 - von Doetinchem - 32 Summary Magnetic
Overview of Pilot Plant Studies
Overview of Pilot Plant Studies and contributions to FNST Jon Menard, Rich Hawryluk, Hutch Neilson, Stewart Prager, Mike Zarnstorff Princeton Plasma Physics Laboratory Fusion Nuclear Science and Technology
The Distribution Function
The Distribution Function As we have seen before the distribution function (or phase-space density) f( x, v, t) d 3 x d 3 v gives a full description of the state of any collisionless system. Here f( x,
NUMERICAL SIMULATION OF A THERMAL PLASMA FLOW CONFINED BY MAGNETIC MIRROR IN A CYLINDRICAL REACTOR
Universidad Simón olívar Departamento de Ciencias de lo Materiales Departamento de Física Centro de Ingeniería de Superficies NUMERICAL SIMULATION OF A THERMAL PLASMA FLOW CONFINED Y MAGNETIC MIRROR IN
PFC/JA NEUTRAL BEAM PENETRATION CONSIDERATIONS FOR CIT
PFC/JA-88-12 NEUTRAL BEAM PENETRATION CONSIDERATIONS FOR CIT J. Wei, L. Bromberg, R. C. Myer, and D. R. Cohn Plasma Fusion Center Massachusetts Institute of Technology Cambridge, Massachusetts 2139 To
Ph1a: Solution to the Final Exam Alejandro Jenkins, Fall 2004
Ph1a: Solution to the Final Exam Alejandro Jenkins, Fall 2004 Problem 1 (10 points) - The Delivery A crate of mass M, which contains an expensive piece of scientific equipment, is being delivered to Caltech.
An ion follows a circular path in a uniform magnetic field. Which single change decreases the radius of the path?
T5-1 [237 marks] 1. A circuit is formed by connecting a resistor between the terminals of a battery of electromotive force (emf) 6 V. The battery has internal resistance. Which statement is correct when
Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, ISBN:
MIT OpenCourseWare http://ocw.mit.edu Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207. Please use the following
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)
Figure 11.1: A fluid jet extruded where we define the dimensionless groups
11. Fluid Jets 11.1 The shape of a falling fluid jet Consider a circular orifice of a radius a ejecting a flux Q of fluid density ρ and kinematic viscosity ν (see Fig. 11.1). The resulting jet accelerates