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We show that adaptive time stepping in particle accelerator simulation is anenhancement for certain problems. The new algorithm has been implemented in theOPAL (Object Oriented Parallel Accelerator Library) framework, and is comparedto the existing code. The idea is to adjust the frequency of costly self fieldcalculations, which are needed to model Coulomb interaction (space charge)effects. In analogy to a Kepler orbit simulation that requires a higher timestep resolution at the close encounter, we propose to choose the time stepbased on the magnitude of the space charge forces. Inspired by geometricintegration techniques, our algorithm chooses the time step proportional to afunction of the current phase space state instead of calculating a local errorestimate like a conventional adaptive procedure. In this paper we build up onfirst observations made in recent work. A more profound argument is given onhow exactly the time step should be chosen. An intermediate algorithm,initially built to allow a clearer analysis by introducing separate time stepsfor external field and self field integration, turned out to be useful initself already for a large class of problems.

A novel adaptive time stepping variant of the Boris-Buneman integrator for the simulation of particle accelerators with space charge