English

A cancellation problem in hybrid particle-in-cell schemes due to finite particle size

Plasma Physics 2020-08-26 v1 Computational Physics Space Physics

Abstract

The quasi-neutral hybrid particle-in-cell algorithm with kinetic ions and fluid electrons is a popular model to study multi-scale problems in laboratory, space, and astrophysical plasmas. Here, it is shown that the treatment of ions as finite-size particles and electrons as a grid-based fluid can cause significant numerical wave dispersion errors in the magnetohydrodynamic limit (kdi1kd_i \ll 1, where did_i is the ion skin-depth). Practical requirements on the mesh spacing Δx/di\Delta x/d_i are suggested to bound these errors from above.

Keywords

Cite

@article{arxiv.1912.04860,
  title  = {A cancellation problem in hybrid particle-in-cell schemes due to finite particle size},
  author = {A. Stanier and L. Chacon and A. Le},
  journal= {arXiv preprint arXiv:1912.04860},
  year   = {2020}
}