Crouseilles, Nicolas ; Latu, Guillaume ; Sonnendrücker, Eric
Współtwórca:Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Tytuł:Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
Podtytuł: Tytuł publikacji grupowej: Temat i słowa kluczowe:Vlasov-Poisson equation ; semi-Lagrangian method ; parallelism
Abstract: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.
Wydawca:Zielona Góra: Uniwersytet Zielonogórski
Data wydania: Typ zasobu: DOI: Strony: Źródło:AMCS, volume 17, number 3 (2007) ; kliknij tutaj, żeby przejść
Jezyk: Licencja CC BY 4.0: Prawa do dysponowania publikacją: