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Phys. Plasmas 17, 032106 (2010); http://dx.doi.org/10.1063/1.3313348 (13 pages)

Resolving velocity space dynamics in continuum gyrokinetics

M. Barnes1, W. Dorland2, and T. Tatsuno2

1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, OX1 3NP Oxford, United Kingdom and Culham Science Centre, Euratom/UKAEA Fusion Association, OX14 3DB Abingdon, United Kingdom
2Department of Physics, IREAP, and CSCAMM, University of Maryland, College Park, Maryland 20742-3511, USA

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(Received 27 July 2009; accepted 20 January 2010; published online 11 March 2010)

Many plasmas of interest to the astrophysical and fusion communities are weakly collisional. In such plasmas, small scales can develop in the distribution of particle velocities, potentially affecting observable quantities such as turbulent fluxes. Consequently, it is necessary to monitor velocity space resolution in gyrokinetic simulations. In this paper, we present a set of computationally efficient diagnostics for measuring velocity space resolution in gyrokinetic simulations and apply them to a range of plasma physics phenomena using the continuum gyrokinetic code GS2. For the cases considered here, it is found that the use of a collisionality at or below experimental values allows for the resolution of plasma dynamics with relatively few velocity space grid points. Additionally, we describe the implementation of an adaptive collision frequency, which can be used to improve velocity space resolution in the collisionless regime, where results are expected to be independent of collision frequency.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. GYROKINETIC VELOCITY SPACE DYNAMICS
  3. GS2 VELOCITY SPACE
    1. Velocity space coordinates
      1. Energy grid
      2. Lambda grid
    2. Velocity space dissipation
      1. Model collision operator
      2. Numerical dissipation
  4. VELOCITY SPACE RESOLUTION DIAGNOSTICS
    1. Integral error estimates
      1. General description of the scheme
      2. Implementation in GS2
    2. Spectral method
      1. Application of error diagnostics
  5. ADAPTIVE COLLISION FREQUENCY
  6. SUMMARY

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

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