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Energy-preserving coupling of explicit particle-in-cell with Monte Carlo collisions

Journal Article · · Physical Review. E
 [1];  [2];  [1];  [1];  [2];  [1]
  1. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  2. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
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The particle-in-cell (PIC) and Monte Carlo collisions (MCC) methods are workhorses of many numerical simulations of physical systems. Recently, it was pointed out that, while the two methods can be exactly—or nearly—energy-conserving independently, combining the two leads to anomalous numerical heating. This paper reviews the standard explicit PIC-MCC algorithm, elucidates the origins of the anomalous numerical heating, and explains how to couple the two methods such that the anomalous numerical heating is avoided.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-05CH11231; AC52-07NA27344
OSTI ID:
2520215
Alternate ID(s):
OSTI ID: 2562809
Journal Information:
Physical Review. E, Journal Name: Physical Review. E Journal Issue: 2 Vol. 111; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (8)

On numerical energy conservation for an implicit particle-in-cell method coupled with a binary Monte-Carlo algorithm for Coulomb collisions journal May 2022
An implicit particle code with exact energy and charge conservation for electromagnetic studies of dense plasmas journal October 2023
Numerical Simulation of the Weibel Instability in One and Two Dimensions journal January 1971
Simulation of beams or plasmas crossing at relativistic velocity journal May 2008
Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields journal May 2017
Numerical heating in particle-in-cell simulations with Monte Carlo binary collisions journal January 2021
Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC journal April 1991
Plasma Physics via Computer Simulation book January 1991

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Monte Carlo methods
Particle-in-cell methods