Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU
Computational Physics
2015-06-05 v1 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.1206.3229,
title = {Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU},
author = {Tarcisio M. Rocha Filho},
journal= {arXiv preprint arXiv:1206.3229},
year = {2015}
}