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The Gaussian Radial Basis Function Method for Plasma Kinetic Theory

Eero Hirvijoki (Institutionen för teknisk fysik, Nukleär teknik) ; J Candy ; E Belli ; Ola Embréus (Institutionen för teknisk fysik, Nukleär teknik)
Physics Letters A (0375-9601). Vol. 379 (2015), 42, p. 2735-2739.
[Artikel, refereegranskad vetenskaplig]

Description of a magnetized plasma involves the Vlasov equation supplemented with the non-linear Fokker–Planck collision operator. For non-Maxwellian distributions, the collision operator, however, is difficult to compute. In this Letter, we introduce Gaussian Radial Basis Functions (RBFs) to discretize the velocity space of the entire kinetic system, and give the corresponding analytical expressions for the Vlasov and collision operator. Outlining the general theory, we also highlight the connection to plasma fluid theories, and give 2D and 3D numerical solutions of the non-linear Fokker–Planck equation. Applications are anticipated in both astrophysical and laboratory plasmas.

Nyckelord: Coulomb collisions, Fokker-Planck, Kinetic theory, Non-linear

Denna post skapades 2015-04-23. Senast ändrad 2015-11-09.
CPL Pubid: 215637


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Institutioner (Chalmers)

Institutionen för teknisk fysik, Nukleär teknik (2006-2015)


Hållbar utveckling

Chalmers infrastruktur