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Improved multispecies Dougherty collisions

Published online by Cambridge University Press:  12 May 2022

Manaure Francisquez Open the ORCID record for Manaure Francisquez [Opens in a new window] ,
James Juno Open the ORCID record for James Juno [Opens in a new window] ,
Ammar Hakim ,
Gregory W. Hammett Open the ORCID record for Gregory W. Hammett [Opens in a new window]  and
Darin R. Ernst Open the ORCID record for Darin R. Ernst [Opens in a new window]
Manaure Francisquez*
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA MIT Plasma Science and Fusion Center, Cambridge, MA 02139, USA
James Juno
Affiliation:
Department of Physics & Astronomy, University of Iowa, Iowa City, IA 52242, USA
Ammar Hakim
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA
Gregory W. Hammett
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA
Darin R. Ernst
Affiliation:
MIT Plasma Science and Fusion Center, Cambridge, MA 02139, USA
*
†Email address for correspondence: [email protected]
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Abstract

The Dougherty model Fokker–Planck operator is extended to describe nonlinear full-$f$ ( f is the distribution function) collisions between multiple species in plasmas. Simple relations for cross-species primitive moments are developed which obey conservation laws, and reproduce familiar velocity and temperature relaxation rates. This treatment of multispecies Dougherty collisions, valid for arbitrary mass ratios, avoids unphysical temperatures and satisfies the $H$-theorem (H is related to the entropy) unlike an analogous Bhatnagar–Gross–Krook operator. Formulas for both a Cartesian velocity space and a gyroaveraged operator are provided for use in Vlasov as well as long-wavelength gyrokinetic models. We present an algorithm for the discontinuous Galerkin discretization of this operator, and provide results from relaxation and Landau damping benchmarks.

Keywords

plasma dynamicsplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 88 , Issue 3 , June 2022 , 905880303
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press

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References

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