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Linearized model Fokker–Planck collision operators for gyrokinetic simulations. II. Numerical implementation and tests

Phys. Plasmas 16, 072107 (2009); doi:10.1063/1.3155085

Published 14 July 2009

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M. Barnes,1 I. G. Abel,2,3 W. Dorland,1 D. R. Ernst,4 G. W. Hammett,5 P. Ricci,6 B. N. Rogers,7 A. A. Schekochihin,2 and T. Tatsuno1
1Department of Physics, IREAP and CSCAMM, University of Maryland, College Park, Maryland 20742-3511, USA
2Plasma Physics Group, Blackett Laboratory, Imperial College, London SW7 2AZ, United Kingdom
3Euratom/UKAEA Fusion Association, Culham Science Centre, Abingdon OX14 3DB, United Kingdom
4Plasma Science and Fusion Center, Massachusetts Institute of Technology, 167 Albany Street, NW16-258, Cambridge, Massachusetts 02139, USA
5Princeton Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543, USA
6Centre de Recherches en Physique des Plasmas—École Polytechnique Fédérale de Lausanne, Association EURATOM–Confédération Suisse, CH-1015 Lausanne, Switzerland
7Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA
A set of key properties for an ideal dissipation scheme in gyrokinetic simulations is proposed, and implementation of a model collision operator satisfying these properties is described. This operator is based on the exact linearized test-particle collision operator, with approximations to the field-particle terms that preserve conservation laws and an H-theorem. It includes energy diffusion, pitch-angle scattering, and finite Larmor radius effects corresponding to classical (real-space) diffusion. The numerical implementation in the continuum gyrokinetic code GS2 [Kotschenreuther et al., Comput. Phys. Comm. 88, 128 (1995)] is fully implicit and guarantees exact satisfaction of conservation properties. Numerical results are presented showing that the correct physics is captured over the entire range of collisionalities, from the collisionless to the strongly collisional regimes, without recourse to artificial dissipation. ©2009 American Institute of Physics
History: Received 19 September 2008; accepted 19 May 2009; published 14 July 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/072107/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.20.Hv
    Atomic, molecular, ion, and heavy-particle collisions in plasma
  • 52.30.Gz
    Gyrokinetics in plasmas
  • 52.65.-y
    Plasma simulation
  • YEAR: 2009

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ISSN:
1070-664X (print)   1089-7674 (online)
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