Enhancing one-dimensional particle-in-cell simulations to self-consistently resolve instability-induced electron transport in Hall thrusters

TL;DR

This paper introduces a novel pseudo-2D PIC simulation method that self-consistently captures wave-induced electron transport in Hall thrusters, closely matching full 2D simulations and enhancing predictive modeling capabilities.

Contribution

The paper presents a new pseudo-2D PIC scheme that improves the self-consistent modeling of azimuthal instabilities in Hall thrusters, validated against full 2D simulations.

Findings

Pseudo-2D PIC closely matches 2D simulation results.

The approach effectively captures wave-induced electron transport.

Sensitivity analysis guides future improvements.

Abstract

The advent of high-power Hall thrusters and the increasing interest towards their use as a primary propulsion system for various missions have given a new boost to the efforts aiming at self-consistent predictive modeling of this thruster technology. In this article, we present a novel approach, which allows enhancing the predictive capability of one-dimensional Particle-in-Cell (PIC) simulations to self-consistently capture the wave-induced electron transport due to the azimuthal instabilities in Hall thrusters. The so-called "pseudo-2D" PIC scheme resulting from this approach is extensively tested in several operating conditions. The results are compared against a well-established 2D3V axial-azimuthal reference case in terms of the axial profiles of the time-averaged plasma properties, the azimuthal electric field fluctuations and their dispersion features, and the contributions of the force terms in the electron azimuthal momentum equation to the cross-field mobility. We have demonstrated that the pseudo-2D PIC provides a prediction of the above aspects that compares very closely in almost all conditions with those from the full-2D simulation. In addition, the sensitivity of the pseudo-2D simulation results to the numerical parameters associated with our approach is assessed in detail. The outcomes of these analyses have casted light on the next steps to further improve the approach.