M. A. Boronina, V. A. Vshivkov, E. B. Levichev, S. A. Nikitin, V. N. Snytnikov, “An algorithm for the three-dimensional modeling of ultrarelativistic beams”, Num. Meth. Prog., 2007, Volume 8, Issue 4,Pages <nobr>352

Вычислительные методы и приложения

An algorithm for the three-dimensional modeling of ultrarelativistic beams

M. A. Boronina^a, V. A. Vshivkov^a, E. B. Levichev^b, S. A. Nikitin^b, V. N. Snytnikov^c

^a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
^b G I. Budker Institute of Nuclear Physics, Siberian Branch of Russian Academy of Sciences, Novosibirsk
^c Boreskov Institute of Catalysis SB RAS, Novosibirsk

Abstract: An algorithm for modeling the interaction charged particle beam effects in the three-dimensional ultrarelativistic case is considered. An algorithm to compute initial and boundary conditions when introducing an artificial potential is proposed. Some numerical test results for prescribing boundary conditions and for solving the problem of beam focusing at the region center are discussed.

Keywords: ultrarelativistic beams, electron-positron colliding beams, numerical methods, mathematical simulation, supercollider.

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