Comparison of two Eulerian solvers for the four-dimensional Vlasov equation: Part II

Nicolas Crouseilles (1, 2) , Michaël Gutnic (2) , Guillaume Latu (2) , Eric Sonnendrücker (1, 2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 CALVI - Scientific computation and visualization

In this second part, we carry out a numerical comparison between twoVlasovsolvers, which solve directly the Vlasovequation on a grid of the phase space. The two methods are based on the semi-Lagrangian method as presented in Part I: the first one (LOSS, local splines simulator) uses a uniform mesh of the phase space whereas the second one (OBI, ondelets based interpolation) is an adaptive method. The numerical comparisons are performed by solving the four-dimensionalVlasovequation for some classical problems of plasma and beam physics. We shall also investigate the speedup and the CPU time as well as the compression rate of the adaptive method which are important features because of the size of the problems.

Domaines: Autre [cs.OH]

Nicolas Crouseilles, Michaël Gutnic, Guillaume Latu, Eric Sonnendrücker. Comparison of two Eulerian solvers for the four-dimensional Vlasov equation: Part II. Communications in Nonlinear Science and Numerical Simulation, 2008, 13 (1), pp.94-99. ⟨10.1016/j.cnsns.2007.03.017⟩. ⟨hal-00690330⟩