English

An exact particle splitting algorithm for PIC codes

Computational Physics 2019-02-15 v2

Abstract

Splitting and merging are long standing issues in PIC codes. I propose a novel algorithm devoted to exact splitting for Particle-In-Cell (PIC) codes relying on Adaptive Mesh Refinement (AMR) grids. AMR grids have - by definition - a constant refinement factor between levels, this strong property combined with B-spline shape functions makes possible exact splitting of macro-particles in space. The proposed exact splitting method is applicable for any integer refinement factor and B-spline shape functions of arbitrary order. Besides, this exact algorithm removes by construction the usual numerical noise increase resulting from approximate particle splitting strategies.

Keywords

Cite

@article{arxiv.1805.06540,
  title  = {An exact particle splitting algorithm for PIC codes},
  author = {Mathieu Drouin},
  journal= {arXiv preprint arXiv:1805.06540},
  year   = {2019}
}

Comments

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R2 v1 2026-06-23T01:58:07.925Z