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Moment Preserving Constrained Resampling with Applications to\n Particle-in-Cell Methods

2017/02/16 by Danial Faghihi, Varis Carey, Faghihi, Danial +11 · 1 citation
Engineering · Physics and Astronomy · #FOS: Physical sciences #Magnetic confinement fusion research #Particle accelerators and beam dynamics #Plasma Diagnostics and Applications #Plasma Physics (physics.plasm-ph)

paper · pdf · doi:10.48550/arxiv.1702.05198

openalex publication_date 2017/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In simulations of partial differential equations using particle-in-cell (PIC)\nmethods, it is often advantageous to resample the particle distribution\nfunction to increase simulation accuracy, reduce compute cost, and/or avoid\nnumerical instabilities. We introduce an algorithm for particle resampling\ncalled Moment Preserving Contrained Resampling (MPCR). The general algorithm\npartitions the system space into smaller subsets and is designed to conserve\nany number of particle and grid quantities with a high degree of accuracy (i.e.\nmachine accuracy). The resampling scheme can be integrated into any PIC code.\nThe advantages of MPCR, including performance, accuracy, and stability, are\npresented by examining several numerical tests, including a use-case study in\ngyrokinetic fusion plasma simulations. The tests demonstrate that while the\ncomputational cost of MPCR is negligible compared to the nascent particle\nevolution in PIC methods, periodic particle resampling yields a significant\nimprovement in the accuracy and stability of the results.\n

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