EZ: An Efficient, Charge Conserving Current Deposition Algorithm for Electromagnetic Particle-In-Cell Simulations
Abstract
We present EZ, a novel current deposition algorithm for particle-in-cell (PIC) simulations. EZ calculates the current density on the electromagnetic grid due to macro-particle motion within a time step by solving the continuity equation of electrodynamics. Being a charge conserving hybridization of Esirkepov's method and ZigZag, we refer to it as ``EZ'' as shorthand for ``Esirkepov meets ZigZag''. Simulations of a warm, relativistic plasma with PIConGPU show that EZ achieves the same level of charge conservation as the commonly used method by Esirkepov, yet reaches higher performance for macro-particle assignment-functions up to third-order. In addition to a detailed description of the functioning of EZ, reasons for the expected and observed performance increase are given, and guidelines for its implementation aiming at highest performance on GPUs are provided.
Keywords
Cite
@article{arxiv.2309.09873,
title = {EZ: An Efficient, Charge Conserving Current Deposition Algorithm for Electromagnetic Particle-In-Cell Simulations},
author = {Klaus Steiniger and Rene Widera and Sergei Bastrakov and Michael Bussmann and Sunita Chandrasekaran and Benjamin Hernandez and Kristina Holsapple and Axel Huebl and Guido Juckeland and Jeffrey Kelling and Matt Leinhauser and Richard Pausch and David Rogers and Ulrich Schramm and Jeff Young and Alexander Debus},
journal= {arXiv preprint arXiv:2309.09873},
year = {2023}
}