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Multi angle Fluid and transport modeling of plasmas - Lecture 1: collisional plasma kinetics, solutions

Auteurs : Callen, James D. (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : This series of 4 lectures discusses the key physical processes in fusion-relevant plasmas, the equations used to describe them, and the interrelationships between them. The focus is on developing comprehensive equations and models for magnetically-confined fusion plasmas on a hierarchy of time scales. The relevant plasma equations for inertial fusion are also briefly mentioned. The pedagogical development begins with the very short time scale microscopic charged-particle-based Coulomb collision processes in a plasma. This microscopic description is then used to develop a comprehensive plasma kinetic equation, fluid moment, magnetohydrodynamic (MHD) and hybrid kinetic/fluid moment plasma descriptions, and finally the long time scale equations for plasma transport across the confining magnetic field. The present grand challenge in magnetic fusion is to develop a "predictive capability" for deuteron-triton (D-T) burning plasmas in ITER (http://www.iter.org). Individual .pdf files of the final, corrected sets of viewgraphs are available via http://homepages.cae.wisc.edu/~callen/plasmas.

    This initial lecture first discusses the wide range of characteristic length and time scales involved in modeling fusion plasmas. Next, the Coulomb scattering of a charged test particle's velocity and the differences between the ensemble-averaged electron and ion collisional scattering and relaxation rates are discussed. Then, the mathematical properties of these collisional scattering processes are used to develop a Fokker-Planck collision operator. Finally, a general plasma kinetic equation (PKE) is developed and its general properties discussed.

    Codes MSC :
    76X05 - Ionized gas flow in electromagnetic fields; plasmic flow
    82C70 - Transport processes

    Informations sur la rencontre

    Nom du congrès : CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmas
    Organisteurs Congrès : Campos Pinto, Martin ; Charles, Frédérique ; Guillard, Hervé ; Nkonga, Boniface
    Dates : 21/07/14 - 29/08/14
    Année de la rencontre : 2014
    URL Congrès : http://smai.emath.fr/cemracs/cemracs14/

    Citation Data

    DOI : 10.24350/CIRM.V.18588803
    Cite this video as: Callen, James D. (2014). Fluid and transport modeling of plasmas - Lecture 1: collisional plasma kinetics, solutions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18588803
    URI : http://dx.doi.org/10.24350/CIRM.V.18588803

    Voir aussi


    1. Viewgraph file of lecture 1: Collisional Plasma Kinetics, Solutions - http://homepages.cae.wisc.edu/~callen/Callen_Lect1_CEMRACS_2014f.pdf

    2. Viewgraph file of lecture 2: Kinetic And Fluid Solutions Of PKE - http://homepages.cae.wisc.edu/~callen/Callen_Lect2_CEMRACS_2014f.pdf

    3. Viewgraph file of lecture 3: Fluid Models For Tokamak Plasmas - http://homepages.cae.wisc.edu/~callen/Callen_Lect3_CEMRACS_2014f.pdf

    4. Viewgraph file of lecture 4: Tokamak Plasma Transport Modeling - http://homepages.cae.wisc.edu/~callen/Callen_Lect4_CEMRACS_2014f.pdf