Vlasov simulations of beams with a moving grid Original Research Article

Vlasov simulations can for some situations be a valuable alternative to PIC simulations for the study of intense beam propagation. However, as they rely on a phase-space grid which is fixed for the whole simulation, important computing effort can be wasted in zones where no particles are present at some given time. In order to overcome this drawback, we introduce here a new method which makes use of a phase-space grid which is uniform at any given time, but moves in time according to the evolution of the envelope of the beam.