Multispecies structure-preserving particle discretization of the Landau collision operator

Filippo Zonta, Joseph V. Pusztay, Eero Hirvijoki

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This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity-preserving particle discretization of the nonlinear Landau collision operator, extending the works of Carrillo et al. [J. Comput. Phys. 7, 100066 (2020)] and Hirvijoki [Plasma Phys. Controlled Fusion 63, 044003 (2021)]. The discrete-time conservation properties are analyzed both algebraically and numerically, and an efficient, graphics processing unit-parallelized implementation is validated against inhomogeneous temperature relaxation, isotropization, and thermalization examples. The results agree with analytical estimates, confirming the method capable of reproducing physics.
Original languageEnglish
Article number123906
Number of pages11
JournalPhysics of Plasmas
Issue number12
Publication statusPublished - 14 Dec 2022
MoE publication typeA1 Journal article-refereed


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