doi:10.1016/j.cpc.2004.06.030
Copyright © 2004 Elsevier B.V. All rights reserved.
Four dimensional Fokker–Planck solver for electron kinetics in collisional gas discharge plasmas
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Vladimir Kolobov
,
,
and Robert Arslanbekov
CFD Research Corporation, Huntsville, AL, USA
Available online 27 July 2004.
Abstract
A general-purpose, four-dimensional Fokker–Planck (FP) solver has been developed for simulation of electron kinetics in collisional gas discharge plasmas. This paper describes details of the numerical implementation and applications to inductively coupled plasmas, capacitively coupled plasmas, and dielectric barrier discharges. The FP solver offers a very good compromise between physical accuracy and numerical efficiency for simulations of electron energy distribution function in gas discharges.
Fig. 2. EEPFs versus total energy at different distances from the quartz window at a radius 4 cm (left), and the electron density and electrostatic potential in the reactor chamber (right).
Fig. 3. Major ion densities and cycle-averaged electron density (left), and electron temperature (right) as functions of spatial position.
Fig. 4. The EDF at the discharge center at 3 moments during RF cycle (left) and as a function of spatial position x and kinetic energy u at some moment in RF cycle (right).
Fig. 5. Time evolution of the discharge voltage, current and central electron density for pure He DBD powered by 5 kV voltage source at 10 kHz.
Fig. 6. Spatial profiles of plasma parameters in a 5 kV, 10 kHz DBD at some moment during RF cycle: (a) electron (instantaneous and RF cycle averaged) and ion (He+2) densities in log10 scale; (b) electron, ion, and displacement current densities; (c) electrostatic potential, RF cycle averaged electrostatic potential (multiplied by factor of 40), and normalized surface charge (in arbitrary units); (d) electron temperature (instantaneous and RF cycle averaged).
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