- Tytuł:
- Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
- Autorzy:
-
Crouseilles, N.
Latu, G.
Sonnendrücker, E. - Powiązania:
- https://bibliotekanauki.pl/articles/929688.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
równanie Vlasova-Poissona
metoda Lagrangiana
równoległość
Vlasov-Poisson equation
semi-Lagrangian method
parallelism - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 335-349
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł