Speeding up simulations of relativistic systems using an optimal boosted frame

Details Speeding up simulations of relativistic systems using an optimal boosted frame Speeding up simulations of relativistic systems using an optimal boosted frame

2009-09-30

arxiv.org/abs/0909.5603v1

Physics

Accelerator Physics

To be published in the proceedings of DPF-2009, Detroit, MI, July 2009, eConf C090726

Scientific paper

It can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of systems. However, even if the computer model relies on a covariant set of equations, it has been pointed out that algorithmic difficulties related to discretization errors may have to be overcome in order to take full advantage of the potential speedup. We summarize the findings, the difficulties and their solutions, and show that the technique enables simulations important to several areas of accelerator physics that are otherwise problematic, including self-consistent modeling in three-dimensions of laser wakefield accelerator stages at energies of 10 GeV and above.

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