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Higher-order particle representation for particle-in-cell simulations
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Brown, Dominic, Bettencourt, Matthew T., Wright, Steven A., Maheswaran, Satheesh, Jones, John P. and Jarvis, Stephen A. (2021) Higher-order particle representation for particle-in-cell simulations. Journal of Computational Physics, 435 . 110255. doi:10.1016/j.jcp.2021.110255 ISSN 0021-9991.
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WRAP-higher-order-particle-representation-particle-in-cell-simulations-Brown-2021.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (1630Kb) | Preview |
Official URL: https://doi.org/10.1016/j.jcp.2021.110255
Abstract
In this paper we present an alternative approach to the representation of simulation particles for unstructured electrostatic and electromagnetic PIC simulations. In our modified PIC algorithm we represent particles as having a smooth shape function limited by some specified finite radius, . A unique feature of our approach is the representation of this shape by surrounding simulation particles with a set of virtual particles with delta shape, with fixed offsets and weights derived from Gaussian quadrature rules and the value of . As the virtual particles are purely computational, they provide the additional benefit of increasing the arithmetic intensity of traditionally memory bound particle kernels. The modified algorithm is implemented within Sandia National Laboratories' unstructured EMPIRE-PIC code, for electrostatic and electromagnetic simulations, using periodic boundary conditions. We show results for a representative set of benchmark problems, including electron orbit, a transverse electromagnetic wave propagating through a plasma, numerical heating, and a plasma slab expansion. Good error reduction across all of the chosen problems is achieved as the particles are made progressively smoother, with the optimal particle radius appearing to be problem-dependent.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||||
Library of Congress Subject Headings (LCSH): | Laser plasmas -- Simulation methods, Scattering (Physics), Finite differences, Particle dynamics -- Simulation methods | ||||||||
Journal or Publication Title: | Journal of Computational Physics | ||||||||
Publisher: | Academic Press Inc. Elsevier Science | ||||||||
ISSN: | 0021-9991 | ||||||||
Official Date: | 15 June 2021 | ||||||||
Dates: |
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Volume: | 435 | ||||||||
Article Number: | 110255 | ||||||||
DOI: | 10.1016/j.jcp.2021.110255 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 9 March 2021 | ||||||||
Date of first compliant Open Access: | 8 March 2022 | ||||||||
RIOXX Funder/Project Grant: |
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