Vlasov simulations of beams with a moving grid

Abstract : Numerical simulation of intense particle beams can be performed by solvingthe Vlasov equation on a grid of phase-space using a semi-Lagrangian method. This is fairly efficient in the case of a uniform focusing field. However in configurations using a periodic focusing field or alternating-gradient focusing a lot of computing effort using a uniform grid is wasted on empty space as the motion in phase space is important.This paper introduces the concept of a moving grid whichis mapped at each time step from a logical uniform grid to thebeam, so that it contains the whole beam without needing too manypoints with vanishing values of the distribution function.In order to implement this new method, we introducea new time stepping algorithm which does not rely on the time splittingprocedure traditionally used in Vlasov solvers.
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Soumis le : jeudi 8 février 2007 - 15:00:05
Dernière modification le : jeudi 11 janvier 2018 - 06:12:26
Document(s) archivé(s) le : mercredi 7 avril 2010 - 02:40:30


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  • HAL Id : hal-00129695, version 1



Eric Sonnendrücker, Francis Filbet, Alex Friedman, Edouard Oudet, Jean-Luc Vay. Vlasov simulations of beams with a moving grid. 2003. 〈hal-00129695〉



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