Paper Info
Title
Hermite Spline Interpolation on Patches for Parallelly Solving the Vlasov-Poisson Equation
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.
Year
DOI
Venue
2007
10.2478/v10006-007-0028-x
Applied Mathematics and Computer Science
Keywords
Field
DocType
phase domain,good scalability,calvi project,phase space grid,good approximation,semi-lagrangian-type method,hermite spline interpolation,vlasov-poisson equation,two-dimensional phase space,semi-lagrangian method,numerical result,numerical simulation,parallelism,vlasov equation,poisson equation,particle in cell,phase space,boundary condition,spline interpolation
Discretization,Boundary value problem,Mathematical optimization,Poisson's equation,Vlasov equation,Hermite spline,Mathematical analysis,Phase space,Interpolation,Hermite polynomials,Mathematics
Journal
Volume
Issue
ISSN
17
3
1641-876X
Citations 
PageRank 
References 
11
1.70
4
Authors
3
Name
Order
Citations
PageRank
Nicolas Crouseilles117422.71
Guillaume Latu26716.21
Eric Sonnendrücker316118.72