A Monte Carlo method with negative particles for Coulomb collisions

Bokai Yan, Russel E. Caflisch

Research output: Contribution to journalArticle

Abstract

In this work we propose a novel negative particle method for the general bilinear collision operators in the spatial homogeneous case and apply it to Coulomb collisions. This new method successfully reduces the growth of particle numbers from the numerical time scale to the physical time scale for Coulomb collisions. We also propose a particle resampling method which reduces the particle number to further improve the efficiency. Various numerical simulations are performed to demonstrate the accuracy and efficiency of the method.

Original languageEnglish (US)
Pages (from-to)711-740
Number of pages30
JournalJournal of Computational Physics
Volume298
DOIs
StatePublished - Oct 1 2015

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Keywords

  • Boltzmann equation
  • Coulomb collisions
  • Monte Carlo method
  • Negative particle method
  • Prediction-correction

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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