Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration
In this article, we present an in-depth verification of the generalized electrostatic reduced-order particle-in-cell (PIC) scheme in a cross electric and magnetic field configuration representative of a radial–azimuthal section of a Hall thruster. The setup of the simulations follows a well-establis...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2023-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0136889 |
| _version_ | 1811154867086950400 |
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| author | F. Faraji M. Reza A. Knoll |
| author_facet | F. Faraji M. Reza A. Knoll |
| author_sort | F. Faraji |
| collection | DOAJ |
| description | In this article, we present an in-depth verification of the generalized electrostatic reduced-order particle-in-cell (PIC) scheme in a cross electric and magnetic field configuration representative of a radial–azimuthal section of a Hall thruster. The setup of the simulations follows a well-established benchmark case. The main purpose of this effort is to demonstrate that our novel PIC scheme can reliably resolve the complex two-dimensional dynamics and interactions of the plasma instabilities in the radial–azimuthal coordinates of a Hall thruster at a fraction of the computational cost compared to full-2D PIC codes. To this end, we first present the benchmarking of our newly developed full-2D PIC code. Next, we provide an overview of the reduced-order PIC scheme and the resulting “quasi-2D” code, specifying that the degree of order reduction in the quasi-2D PIC is defined in terms of the number of “regions” along the simulation’s directions used to divide the computational domain. We compare the predictions of the quasi-2D simulation in various approximation degrees of the 2D problem against our full-2D simulation results. We show that, with an increase in the number of regions in the Q2D simulations, the quasi-2D results converge to the 2D ones. Nonetheless, we also highlight that a quasi-2D simulation that provides a factor of 5 reduction in the computational cost resolves the underlying physical processes in an almost indistinguishable manner with respect to the full-2D simulation and incurs an L2-norm error of only about 2% in the ion number density and below 1% in the electron temperature. |
| first_indexed | 2024-04-10T04:24:23Z |
| format | Article |
| id | doaj.art-e36b001ddae048859c9f0ebe2c98a5bf |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-10T04:24:23Z |
| publishDate | 2023-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-e36b001ddae048859c9f0ebe2c98a5bf2023-03-10T17:26:21ZengAIP Publishing LLCAIP Advances2158-32262023-02-01132025315025315-1410.1063/5.0136889Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configurationF. Faraji0M. Reza1A. Knoll2Plasma Propulsion Laboratory, Department of Aeronautics, Imperial College London, London, United KingdomPlasma Propulsion Laboratory, Department of Aeronautics, Imperial College London, London, United KingdomPlasma Propulsion Laboratory, Department of Aeronautics, Imperial College London, London, United KingdomIn this article, we present an in-depth verification of the generalized electrostatic reduced-order particle-in-cell (PIC) scheme in a cross electric and magnetic field configuration representative of a radial–azimuthal section of a Hall thruster. The setup of the simulations follows a well-established benchmark case. The main purpose of this effort is to demonstrate that our novel PIC scheme can reliably resolve the complex two-dimensional dynamics and interactions of the plasma instabilities in the radial–azimuthal coordinates of a Hall thruster at a fraction of the computational cost compared to full-2D PIC codes. To this end, we first present the benchmarking of our newly developed full-2D PIC code. Next, we provide an overview of the reduced-order PIC scheme and the resulting “quasi-2D” code, specifying that the degree of order reduction in the quasi-2D PIC is defined in terms of the number of “regions” along the simulation’s directions used to divide the computational domain. We compare the predictions of the quasi-2D simulation in various approximation degrees of the 2D problem against our full-2D simulation results. We show that, with an increase in the number of regions in the Q2D simulations, the quasi-2D results converge to the 2D ones. Nonetheless, we also highlight that a quasi-2D simulation that provides a factor of 5 reduction in the computational cost resolves the underlying physical processes in an almost indistinguishable manner with respect to the full-2D simulation and incurs an L2-norm error of only about 2% in the ion number density and below 1% in the electron temperature.http://dx.doi.org/10.1063/5.0136889 |
| spellingShingle | F. Faraji M. Reza A. Knoll Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration AIP Advances |
| title | Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration |
| title_full | Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration |
| title_fullStr | Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration |
| title_full_unstemmed | Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration |
| title_short | Verification of the generalized reduced-order particle-in-cell scheme in a radial–azimuthal E × B plasma configuration |
| title_sort | verification of the generalized reduced order particle in cell scheme in a radial azimuthal e b plasma configuration |
| url | http://dx.doi.org/10.1063/5.0136889 |
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