TY - JOUR

T1 - An explicit scheme to enforce charge conservation in transient Particle-in-Cell simulations with Maxwell-Boltzmann electrons

AU - Elias, Moutaz

AU - Curreli, Davide

N1 - Funding Information:
This material is based upon work supported by the U.S. Department of Energy , Office of Science, Office of Fusion Energy Sciences, and Office of Advanced Scientific Computing Research through the Scientific Discovery through Advanced Computing (SciDAC) DE-SC0018090-PO97564 and DE-AC02-09CH11466-S015851-H .

PY - 2020/5/15

Y1 - 2020/5/15

N2 - The Maxwell-Boltzmann electron model is a very popular approximation of the electronic behavior in electrostatic plasmas, adopted in all cases where the electron dynamics is governed only by a balance between electric and pressure forces. In such a model, the electron dynamics is reduced to solving for a nonlinear Poisson problem together with an additional expression enforcing charge conservation. In this work we derive an expression of charge conservation which can be conveniently applied to explicit schemes to update the reference Boltzmann density, particularly useful when simulating plasma sheaths. The scheme can be equally applied to both steady-state and transient problems. Two examples are shown, a steady-state plasma sheath, and a radio-frequency magnetic presheath. Our proposed scheme allows to enforce global charge conservation locally in time, and can thus be applied to the simulation of transient phenomena.

AB - The Maxwell-Boltzmann electron model is a very popular approximation of the electronic behavior in electrostatic plasmas, adopted in all cases where the electron dynamics is governed only by a balance between electric and pressure forces. In such a model, the electron dynamics is reduced to solving for a nonlinear Poisson problem together with an additional expression enforcing charge conservation. In this work we derive an expression of charge conservation which can be conveniently applied to explicit schemes to update the reference Boltzmann density, particularly useful when simulating plasma sheaths. The scheme can be equally applied to both steady-state and transient problems. Two examples are shown, a steady-state plasma sheath, and a radio-frequency magnetic presheath. Our proposed scheme allows to enforce global charge conservation locally in time, and can thus be applied to the simulation of transient phenomena.

KW - Hybrid particle-in-cell

KW - Maxwell Boltzmann charge conservation

KW - RF sheaths

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U2 - 10.1016/j.jcp.2020.109320

DO - 10.1016/j.jcp.2020.109320

M3 - Article

AN - SCOPUS:85079541830

VL - 409

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

M1 - 109320

ER -