Voronoi Particle Merging Algorithm for PIC Codes

TL;DR

This paper introduces a Voronoi diagram-based particle-merging algorithm for PIC codes that improves phase space partitioning, demonstrated through tests on two-stream instability and magnetic shower.

Contribution

The paper presents a novel particle-merging algorithm utilizing Voronoi diagrams to enhance phase space management in PIC simulations.

Findings

Effective in reducing particle number while preserving key dynamics.

Demonstrated improved performance in two-stream instability simulations.

Applicable to magnetic shower modeling.

Abstract

We present a new particle-merging algorithm for the particle-in-cell method. Based on the concept of the Voronoi diagram, the algorithm partitions the phase space into smaller subsets, which consist of only particles that are in close proximity in the phase space to each other. We show the performance of our algorithm in the case of the two-stream instability and the magnetic shower.