Vlasov simulation of beams using moving grids and nonsplit time advance
Abstract
Vlasov simulation of particle beams for Heavy Ion Fusion (and other applications) on a phasespace grid promises enhanced dynamic range and reduced noise relative to particle methods, and is especially attractive for studies of the tails of distributions, such as beam halos. A principal source of inefficiency has been the rapid motion through phase space that results from timevarying focusing forces; at each step many grid points have vanishing phase space density f. To address this, we have introduced a moving grid which is redrawn at each time step so that it contains the whole beam but few points with vanishing f.(E. Sonnendrucker et. al., Int. Conf. on Numer. Sim. of Plasmas, 2003) In order to implement this, we needed to introduce a new timeadvance algorithm which does not rely on the time splitting procedure traditionally used in Vlasov solvers. We describe these algorithms, and illustrate their application.
 Publication:

APS Division of Plasma Physics Meeting Abstracts
 Pub Date:
 October 2003
 Bibcode:
 2003APS..DPPFP1112F