Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. ; For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 17, number 3 (2007) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-04-03
2024-04-03
52
https://zbc.uz.zgora.pl/repozytorium/publication/88413
Nazwa wydania | Data |
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Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation | 2024-04-03 |
Campos Pinto, Martin Sokołowski, Jan - ed. Sonnendrücker, Eric - ed.
Besse, Nicolas Mauser, Norbert J. Sonnendrücker, Eric Sokołowski, Jan - ed. Sonnendrücker, Eric - ed.
González-Vélez, Horacio Kontagora, Maryam Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Seul, Anastazja (1961- ) Steciąg, Magdalena - red. nauk. Kaczor, Monika - red. nauk.