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Advances in large-scale computations of multi-particle beam dynamics

The design and operation of modern particle accelerators is making ever-increasing demands on computer simulations of beam dynamics. We describe recent large-scale computations of collective effects utilizing high-performance computing to address the problems posed by the leading accelerators in operation today and upgrades to these accelerators and facilities planned for tomorrow. We discuss electron cloud, beam-beam and space charge simulations of the Fermilab Tevatron, Main Injector and Debuncher, as well as CERN’s LHC, SPS and proposed PS2. In addition, because accelerator science serves the larger purpose of basic physics research, we also describe some of the physics topics that will become accessible due to the upgrades to accelerators we simulate.