@article{Reza:2023:1361-6463/acbb15,
author = {Reza, M and Faraji, F and Knoll, A},
doi = {1361-6463/acbb15},
journal = {Journal of Physics D: Applied Physics},
pages = {1--18},
title = {Concept of the generalized reduced-order particle-in-cell scheme and verification in an axial-azimuthal Hall thruster configuration},
url = {http://dx.doi.org/10.1088/1361-6463/acbb15},
volume = {56},
year = {2023}
}

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TY  - JOUR
AB  - Reduced-order particle-in-cell (PIC) scheme is a novel modeling approach that enables computationally efficient electrostatic kinetic simulations of plasma. In our previous publications, we demonstrated that a proof-of-concept implementation of this novel PIC scheme resolves the multi-dimensional plasma processes and their interactions in a Hall thruster in a manner close to traditional electrostatic PIC codes. In this work, we extend our efforts on this topic and present a mathematically mature formulation for the dimensionality reduction of Poisson's equation in the Vlasov-Poisson system, which enables the generalized reduced-order "quasi-multi-dimensional" PIC scheme. The applicability of the dimensionality-reduction approach to solve general 2D Poisson problems is numerically verified. Next, we present several reduced-order quasi-2D simulations of a well-defined axial-azimuthal simulation case from the literature using approximation orders of the 2D problem whose computational costs are 2-15 % of a full-2D simulation. It is shown that these reduced-order simulations allow us to recover the same characteristics, behaviors and effects reported in the literature regarding the azimuthal instabilities in Hall thrusters. Moreover, in terms of the time-averaged plasma properties, it was found that, when increasing the approximation order, the error associated with the quasi-2D simulations' predictions decreases from 15 to 4 % for the electric field and from 20 to 2 % for the ion number density. We have additionally discussed a series of sensitivity analysis results, including the influence of the initial number of macroparticles per cell on the predictions of the quasi-2D simulations. According to the detailed results and analyses presented, we conclude that the generalized reduced-order PIC scheme serves as a rigorous foundation for eventual cost-effective and comprehensive three-dimensional kinetic studies of the physics in Hall thrusters and similar electr
AU  - Reza,M
AU  - Faraji,F
AU  - Knoll,A
DO  - 1361-6463/acbb15
EP  - 18
PY  - 2023///
SN  - 0022-3727
SP  - 1
TI  - Concept of the generalized reduced-order particle-in-cell scheme and verification in an axial-azimuthal Hall thruster configuration
T2  - Journal of Physics D: Applied Physics
UR  - http://dx.doi.org/10.1088/1361-6463/acbb15
UR  - https://iopscience.iop.org/article/10.1088/1361-6463/acbb15
UR  - http://hdl.handle.net/10044/1/102155
VL  - 56
ER  - 

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