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An O(N) Maxwell solver with improved numerical dispersion properties

2019/07/30 by Yingchao Lu, Lu, Yingchao, Chengkun Huang +9
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Laser-Plasma Interactions and Diagnostics #Magnetic confinement fusion research #Plasma Physics (physics.plasm-ph)

paper · pdf · doi:10.48550/arxiv.1907.13088

openalex publication_date 2019/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Maxwell solver derived from finite element method with O(N) computing cost is developed to improve the numerical dispersion properties in relativistic particle-in-cell (PIC) simulations. The correction of the dispersion relation of the electromagnetic wave is achieved using the neighboring cells via an iteration scheme without decomposing into Fourier modes. The local nature of the communication is ideally suited to massively parallel computer architectures. This Maxwell solver constrains the Numerical Cherenkov instability (NCI) for the ultra-relativistic drifting pair plasma in x direction to large wave vectors for two dimensional grid. The growth rate of NCI is suppressed by using the low pass filtering.

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