Sparse grid techniques for particle-in-cell schemes
Computational Physics
2016-12-21 v1
Abstract
We propose the use of sparse grids to accelerate particle-in-cell (PIC) schemes. By using the so-called `combination technique' from the sparse grids literature, we are able to dramatically increase the size of the spatial cells in multi-dimensional PIC schemes while paying only a slight penalty in grid-based error. The resulting increase in cell size allows us to reduce the statistical noise in the simulation without increasing total particle number. We present initial proof-of-principle results from test cases in two and three dimensions that demonstrate the new scheme's efficiency, both in terms of computation time and memory usage.
Cite
@article{arxiv.1607.06516,
title = {Sparse grid techniques for particle-in-cell schemes},
author = {Lee F Ricketson and Antoine J Cerfon},
journal= {arXiv preprint arXiv:1607.06516},
year = {2016}
}