High-order moment models for low pressure discharges
ORAL
Abstract
We introduce a novel electron fluid model based on the resolution of higher-moment equations that aims at extending the validity of the fluid equations for transitional collisional regimes between the continuum and the kinetic descriptions. In addition to mass, momentum, and energy conservation equations, the model explicitly solves for the evolution of the heat flux vector and the contracted fourth moment to capture perturbations in the skewness and the kurtosis of the electron distribution function. We use the model to study an argon inductively coupled discharge in the low-pressure range (p < 100 mTorr). We will discuss the closure of the system of equations with Grad’s method and considering a full Boltzmann collisional operator, as opposed to the commonly used Krook operator simplification. The new equations show new effects in the mass and energy transport that are consequence of the dependency of the transport coefficients on the kurtosis of the electron distribution function. Numerical simulations of the new system of equations will be compared to particle in cell simulations as well as to experimental measurements of the electron quantities in low-pressure ICP discharges.
*This research is funded by the project POSEIDON supported by ANR (ANR-16-CHIN-003-01)
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Publication: Alvarez Laguna, A., Esteves, B., Bourdon, A. and Chabert, P., "High-order moment closure for electrons in low-temperature plasmas at low-pressure with perturbations in the skewness and excess kurtosis: Closure of the collisional terms and comparison with experiments", submitted to Journal of Physics D, 2021.
Presenters
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Alejandro Alvarez Laguna
- LPP
- Laboratoire de Physique des Plasmas (LPP), CNRS, Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
- LPP, Ecole polytechnique
- CNRS, Laboratoire de Physique des Plasmas
- Laboratoire de Physique des Plasmas, CNRS, E. Polytechnique