Modelling of magnetic fusion plasmas: from fluid to kinetic description: kinetic MHD | Vidéo | Carmin.tv

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Modelling of magnetic fusion plasmas: from fluid to kinetic description: kinetic MHD

By Xavier Garbet

Appears in collection : CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmas

This lecture will present a short overview on kinetic MHD. The advantages and drawbacks of kinetic versus fluid modelling will be summarized. Various techniques to implement kinetic effects in the fluid description will be introduced with increasing complexity: bi-fluid effects, gyroaverage fields, Landau closures. Hybrid formulations, which combine fluid and kinetic approaches will be presented. It will be shown that these formulations raise several difficulties, including inconsistent ordering and choice of representation. The non linear dynamics of an internal kink mode in a tokamak will be used as a test bed for the various formulations. It will be shown that bi-fluid effects can explain to some extent fast plasma relaxations (reconnection), but cannot address kinetic instabilities due to energetic particles. Some results of hybrid codes will be shown. Recent developments and perspectives will be given in conclusion.

Information about the video

Date of recording 16/07/2014
Date of publication 01/08/2014
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18539303
Cite this video Garbet, Xavier (16/07/2014). Modelling of magnetic fusion plasmas: from fluid to kinetic description: kinetic MHD. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18539303
URL https://dx.doi.org/10.24350/CIRM.V.18539303

Domain(s)

Physics

Bibliography

Biskamp, D. Nonlinear magnetohydrodynamics. Cambridge Monographs on Plasma Physics, 1. Cambridge University Press, Cambridge, 1993. xiv+378 pp. ISBN: 0-521-40206-9 - http://www.ams.org/mathscinet-getitem?mr=1250152
Priest, E., Forbes, T. Magnetic reconnection. MHD theory and applications. Cambridge University Press, Cambridge, 2000. xii+600 pp. ISBN: 0-521-48179-1 - https://www.zbmath.org/?q=an:0959.76002
Braginskii, S. I. Transport Processes in a Plasma. Reviews of Plasma Physics, 1. Consultants Bureau, New York, 205 pp.
Grandgirard, V. and Sarazin, Y. Numerical methods for magnetic confinement fusion, CEMRACS 2010 Publications
Hazeltine, R.D. and Meiss, J.D Shear-Alfvén dynamics of toroidally confined plasmas. Physics Reports, vol. 121 (1985), no. 1-2, pp. 1-164 - http://dx.doi.org/10.1016/0370-1573(85)90083-3
Hammett, G.W. and Perkins, F.W. Fluid moment models for Landau damping with application to the ion-temperature-gradient instability. Physical Review Letters, vol. 64 (1990), no. 25, pp. 3019-3022 - http://dx.doi.org/10.1103/physrevlett.64.3019
Goswami, P., Passot, T. and Sulem, P. L. A Landau fluid model for warm collisionless plasmas. Physics of Plasmas, vol. 12 (2005), no. 10, p. 102109 - http://dx.doi.org/10.1063/1.2096582
Sarazin, Y., Dif-Pradalier, G., Zarzoso, D., Garbet, X., Ghendrih, Ph., Grandgirard, V. Entropy production and collisionless fluid closure, Plasma Physics and Controlled Fusion, vol. 51 (2009), no. 11, p. 115003 - http://dx.doi.org/10.1088/0741-3335/51/11/115003
Park, W., Parker, S., Biglari, H., Chance, M., Chen, L., Cheng, C. Z., Hahm, T. S. , Lee, W. W., Kulsrud, R., Monticello, D., Sugiyama, L., White, R. Three-dimensional hybrid gyrokinetic-magnetohydrodynamics simulation, Physics of Fluids B: Plasma Physics, vol. 4 (1992), no. 7, p. 2033 - http://dx.doi.org/10.1063/1.860011
Briguglio, S., Zonca, F., Vlad, G. Hybrid magnetohydrodynamic-particle simulation of linear and nonlinear evolution of Alfvén modes in tokamaks, Physics of Plasmas, vol. 5 (1998), no. 9, p. 3287 - http://dx.doi.org/10.1063/1.872997
Lütjens, H., Luciani, J.F. The XTOR code for nonlinear 3D simulations of MHD instabilities in tokamak plasmas, Journal of Computational Physics, vol. 227 (2008), no. 14, pp. 6944-6966 - http://dx.doi.org/10.1016/j.jcp.2008.04.003

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