A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations

Higginson, Drew Pitney; Holod, Ihor; Link, Anthony

doi:10.1016/j.jcp.2020.109450

A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations

Journal Article · Mon Apr 06 00:00:00 EDT 2020 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2020.109450· OSTI ID:1623345

^[1]; Holod, Ihor ^[1]; Link, Anthony ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

A physically and statistically accurate method to perform binary, pairwise Coulomb collisions for arbitrarily-weighted macroparticles in particle-in-cell simulations is described. The method is shown to conserve global energy and momentum on average and to produce physically accurate scattering frequencies. This is justified using the statistically expected values of the method and through a series of numerical tests showing that the method is valid independently of macroparticle weight. This novel method is required due to an error in previous work on binary scattering, initially by Nanbu and Yonemura [J. Comp. Phys. 145, 639 (1998)] and applied to subsequent work, that causes inaccuracies in the scattering frequencies for unequally weighted simulations; a problem that occurs both for scattering within the group and between different groups.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1623345

Alternate ID(s):: OSTI ID: 1775907

Report Number(s):: LLNL-JRNL--766943; 957309

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 413; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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