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Development of a multi-component diffusion fluid solver for two-temperature binary plasma sheath
Gangemi, Giuseppe Matteo; Alvarez Laguna, Alejandro; Boccelli, Stefano et al.
2021
 

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Keywords :
binary plasma; sheath; multicomponent
Abstract :
[en] Studying the plasma sheath is fundamental to a number of applications, ranging from arcing in high vacuum electronics to charging of space platforms due to plume contamination of electric thrusters: these fields differ for the variety of the species involved in the simulation of the fluid and for the different nature of the wall confining it. In this work we investigate two different approaches to plasma fluid simulations: the multi-fluid, commonly used in the plasma physics community, and the multi-component approach (a general- ization of the simpler drift-diffusion model), commonly used in the combustion and re-entry flows community. The former considers the species within the mixture as interpenetrating fluids, solving (under the isothermal assumption) for each fluid one equation for mass conservation and one for momentum conservation; the latter (in this work in its binary diffusion approximation) assumes the plasma as a single fluid with diffusing species, hence we solve (in isothermal condition) for one mass conservation equation for each species and only one equation for momentum conservation of the bulk velocity of the plasma. In both models solving for the electrostatic Poisson equation ensures charge conservation inside the domain. The multi-component model offers advantages when simulating mixtures with large number of species as the number of equations (and the model complexity) decreases, with a reduction in computational cost. In this work we compare the results of the two methods by simulating a one-dimensional discharge with a binary mixture of argon plasma (electrons and positive ions in a uniform bath of argon neu- trals). We adapt the boundary conditions from the classic multi-fluid approach and implement a semi-implicit treatment of the electric potential in order to improve performance in terms of stability of the time integration scheme. Different simulations have been performed with different degree of collisionality in the mixture by changing the neutrals pressure. The proposed approach shows good agreement above gas pressure of 10 Pa with a noticeable de- crease in the computational complexity; such results pave the way to the development of a full multi-component model that will allow to simulate more complex mixtures.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Gangemi, Giuseppe Matteo ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Design of Turbomachines
Alvarez Laguna, Alejandro;  Laboratoire de Physique des Plasmas
Boccelli, Stefano;  Politecnico di Milano
Magin, Thierry  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Hillewaert, Koen  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Design of Turbomachines
Language :
English
Title :
Development of a multi-component diffusion fluid solver for two-temperature binary plasma sheath
Publication date :
April 2021
Event name :
47th IOP Plasma Physics Conference
Event date :
from 06-04-2021 to 09-04-2021
Commentary :
The presenting author is financed by the Fonds National de Recherche Scientifique (FNRS) through the FRIA grant
Available on ORBi :
since 07 October 2021

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