Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU
Instituto de Fisica and International Center for Condensed Matter Physics, Universidade de Brasilia, CP: 04455, 70919-970 – Brasilia, Brazil
arXiv:1206.3229v1 [physics.comp-ph] (15 Jun 2012)
@article{2012arXiv1206.3229F,
author={Filho}, Tarcisio M. Rocha},
title={"{Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU}"},
journal={ArXiv e-prints},
archivePrefix={"arXiv"},
eprint={1206.3229},
primaryClass={"physics.comp-ph"},
keywords={Computational Physics, Statistical Mechanics},
year={2012},
month={jun}
}
We present a GPU parallel implementation of the numeric integration of the Vlasov equation in one spatial dimension based on a second order time-split algorithm with a local modified cubic-spline interpolation. We apply our approach to three different systems with long-range interactions: the Hamiltonian Mean Field, Ring and the self-gravitating sheet models. Speedups and accuracy for each model and different grid resolutions are presented.
June 18, 2012 by hgpu
