Speaker
Dr
Jean-Luc Vay
(Lawrence Berkeley National Laboratory)
Description
It was shown recently that it can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of relativistic systems such as: free electron laser, laser-plasma accelerator, and particle beams interacting with electron clouds [1], and reduction by orders of magnitude in computer simulation run times using methods based on first-principles (e.g., Particle-In-Cell) was demonstrated. However, even if the computer model relies on a covariant set of equations, we have shown that in order to take the full benefits of the calculation in a boosted frame, some of the standard numerical techniques needed to be revised [2]. Further complications arise from the need to transform input and output data between the laboratory frame and the frame of calculation, although these can be overcome at low additional computational cost [3]. We will present the theory behind the speed-up of numerical simulation in a boosted frame, our latest developments of numerical methods, and examples of application to the modeling of the above-cited problems and others if applicable.
[1] J.-L. Vay, Phys. Rev. Lett. 98, 130405 (2007)
[2] J.-L. Vay, Phys. of Plasmas 14, 1 (2008)
[3] J.-L. Vay et al., Proc. Particle Accelerator Conference, Vancouver, Canada (2009)
Supported by US-DOE Contracts DE-AC02-05CH11231 and DE-AC52-07NA27344, US-LHC program LARP, and US-DOE SciDAC program ComPASS. Used resources of NERSC, supported by US-DOE Contract DE-AC02-05CH11231.
Author
Dr
Jean-Luc Vay
(Lawrence Berkeley National Laboratory)
Co-authors
Dr
Cameron Geddes
(Lawrence Berkeley National Laboratory)
Dr
Miguel Furman
(Lawrence Berkeley National Laboratory)
Dr
William Fawley
(Lawrence Berkeley National Laboratory)