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arXiv · 1805.06540

An exact particle splitting algorithm for PIC codes

Mathieu Drouin
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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.

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Mathieu Drouin. 2018-05-16. An exact particle splitting algorithm for PIC codes. https://arxiv.org/abs/1805.06540

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