Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
We present a new numerical method to solve the Vlasov-Darwin and Vlasov-Poisswell systems which are approximations of the Vlasov-Maxwell equation in the asymptotic limit of the infinite speed of light. These systems model low-frequency electromagnetic phenomena in plasmas, and thus "light waves" are somewhat supressed, which in turn allows the numerical discretization to dispense with the Courant-Friedrichs-Lewy condition on the time step. ; We construct a numerical scheme based on semi-Lagrangian methods and time splitting techniques. We develop a four-dimensional phase space algorithm for the distribution function while the electromagnetic field is solved on a two-dimensional Cartesian grid. Finally, we present two nontrivial test cases: (a) the wave Landau damping and (b) the electromagnetic beam-plasma instability. For these cases our numerical scheme works very well and is in agreement with analytic kinetic theory.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 17, number 3 (2007) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-04-03
2024-04-03
43
https://www.zbc.uz.zgora.pl/publication/88415
Nazwa wydania | Data |
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Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena | 2024-04-03 |
Crouseilles, Nicolas Latu, Guillaume Sonnendrücker, Eric Sokołowski, Jan - ed. Sonnendrücker, Eric - ed.