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arXiv · 2309.09873

EZ: An Efficient, Charge Conserving Current Deposition Algorithm for Electromagnetic Particle-In-Cell Simulations

Klaus Steiniger·Rene Widera·Sergei Bastrakov·Michael Bussmann·Sunita Chandrasekaran·Benjamin Hernandez·Kristina Holsapple·Axel Huebl·Guido Juckeland·Jeffrey Kelling·Matt Leinhauser·Richard Pausch·David Rogers·Ulrich Schramm·Jeff Young·Alexander Debus
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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.

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Klaus Steiniger, Rene Widera, Sergei Bastrakov, Michael Bussmann, Sunita Chandrasekaran, Benjamin Hernandez, Kristina Holsapple, Axel Huebl, Guido Juckeland, Jeffrey Kelling, Matt Leinhauser, Richard Pausch, David Rogers, Ulrich Schramm, Jeff Young, Alexander Debus. 2023-09-18. EZ: An Efficient, Charge Conserving Current Deposition Algorithm for Electromagnetic Particle-In-Cell Simulations. https://doi.org/10.1016/j.cpc.2023.108849

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