Creator:

Crouseilles, Nicolas ; Latu, Guillaume ; Sonnendrücker, Eric

Contributor:

Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.

Title:

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

Subtitle:

.

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0028-x

Pages:

335-349

Source:

AMCS, volume 17, number 3 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego