CROUSEILLES, Nicolas; LATU, Guillaume; SONNENDRÜCKER, Eric

doi:10.2478/v10006-007-0028-x

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CROUSEILLES, Nicolas
Scientific computation and visualization [CALVI]

LATU, Guillaume
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]

SONNENDRÜCKER, Eric
Institut de Recherche Mathématique Avancée [IRMA]

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International Journal of Applied Mathematics and Computer Science. 2007, vol. 17, n° 3, p. 335-349

University of Zielona Góra

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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.< Réduire

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Vlasov-Poisson equation

semi-Lagrangian method

parallelism

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

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