Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation

• Autorzy: Nicolas Crouseilles , Guillaume Latu , Eric Sonnendrücker
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

parallelism; semi-Lagrangian method; Vlasov-Poisson equation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 3
• Strony: 335-349

Daty

wydano

2007

poprawiono

2006-05-10

(nieznana)

2006-12-15

Twórcy

autor

Nicolas Crouseilles

• INRIA Lorraine, CALVI, France

autor

Guillaume Latu

• INRIA Futurs, Scalapplix, France

autor

Eric Sonnendrücker

• IRMA Strasbourg, Strasbourg, France

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