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DOE OSTI · 2439948

EZ: An efficient, charge conserving current deposition algorithm for electromagnetic particle-in-cell simulations

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

Here, 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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS97 MATHEMATICS AND COMPUTINGCharge conservationCurrent depositionEZPIConGPUParticle-in-cell

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Steiniger, Klaus, Widera, Rene, Bastrakov, Sergei, Bussmann, Michael, Chandrasekaran, Sunita, Hernandez, Benjamin, Holsapple, Kristina, Huebl, Axel, Juckeland, Guido, Kelling, Jeffrey, Leinhauser, Matt, Pausch, Richard, Rogers, David, Schramm, Ulrich, Young, Jeff, Debus, Alexander. 2023-07-16. 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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