Bulletin of the American Physical Society
76th Annual Gaseous Electronics Conference
Volume 68, Number 9
Monday–Friday, October 9–13, 2023; Michigan League, Ann Arbor, Michigan
Session EF1: Modeling & Simulation VI: Moderate-High Pressure Plasma Sources
8:00 AM–9:30 AM,
Friday, October 13, 2023
Room: Michigan League, Vandenberg
Chair: Amanda M. Lietz, North Carolina State University
Abstract: EF1.00004 : Fluid model for ions and electrons in the low and intermediate pressure regimes*
8:45 AM–9:00 AM
Presenter:
Anatole Berger
(Laboratoire de Physique des Plasmas, Ecole Polytechnique, CNRS)
Authors:
Anatole Berger
(Laboratoire de Physique des Plasmas, Ecole Polytechnique, CNRS)
Alejandro Alvarez Laguna
(Laboratoire de Physique des Plasmas, Ecole Polytechnique, CNRS)
Thierry Magin
(von Karman Institute for Fluid Dynamics)
Anne Bourdon
(Ecole Polytechnique)
Transport models of bounded plasma are traditionally classified into three pressure ranges: the low- (respectively high-)pressure regimes, characterized by an ion-neutral mean free path larger (respectively much smaller) than the size of the discharge, and the intermediate-pressure regime (between the previous two). In the latter, the edge-to-center density ratio (or h-factor) is usually modeled using a heuristic variable mobility that matches asymptotically the low-pressure and high-pressure regimes. In this work, we derive a transport model from the Boltzmann equation by integrating the collision operator while taking into account the drift between ions and neutrals and considering the general collisional cross sections (both elastic and charge exchange). We compare fluid simulations using this kinetically derived term versus the heuristic one, showing a discrepancy in the h-factor for collisional plasma in the intermediate pressure, especially at low-ion temperature. In the second part of this work, we will discuss closures of the electron fluid equations with high-order moments in order to represent efficiently non-Maxwellian distributions, while minimizing the number of moments to consider (and so the number of equations to solve), and computing the collision terms in an efficient and accurate manner.
*This work is part of a PhD co-funded by the Institut Polytechnique de Paris and the Ecole Universitaire de Recherche PLASMAScience.
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