Solutioin of Poisson's Equation in Electrostatic Particle-on-cell Simulation
DOI:
https://doi.org/10.14311/ppt.2016.2.66Keywords:
particle-in-cell, ion thrusters, Poisson’s equation, LU decomposition, successive over-relaxationAbstract
In electrostatic Particle-in-Cell simulations of the HEMP-DM3a ion thruster the role of different solution strategies for Poisson?s equation was investigated. The direct solution method of LU decomposition is compared to a stationary iterative method, the successive over-relaxation solver. Results and runtime of solvers were compared, and an outlook on further improvements and developments is presented.References
Dan A. Goebel and Ira Katz. Fundamentals of Electric Propulsion: Ion and Hall Thrusters . JPL SPACE SCIENCE AND TECHNOLOGY SERIES. NASA, 2008.
Norbert Koch, Martin Schirra, Stefan Weis, Alexey Lazurenko, Benjamin van Reijen, Jens Haderspeck, Angelo Genovese, Peter Holtmann, Ralf Schneider, Konstantin Matyash, and Oleksandr Kalentev. The HEMPT Concept - A Survey on Theoretical Considerations and Experimental Evidences . In Proceedings of the 32nd International Electric Propulsion Conference, number IEPC-2011-236, September 2011.
Erfahrungsaustausch Oberflächentechnologie mit Plasma- und Ionenstrahlprozessen. The HEMP Thruster - An Alternative to Conventional Ion Sources?, volume X., march 2003.
F. Taccogna, S. Longo, M. Capitelli, and R. Schneider. Self-similarity in Hall plasma discharges: Applications to particle models. Phys. Plasmas, 12:053502, 2005.
Karl Felix Lüskow, Julia Duras, Oleksander Kalentev, Konstantin Matyash, David Tskhakaya, Jürgen Geiser, and Ralf Schneider. Non-equidistant Particle-In-Cell for Ion Thruster Plumes. In Proceedings of the 33rd International Electric Propulsion Conference, October 2013.
D. Tskhakaya, K. Matyash, R. Schneider, and F. Taccogna. The Particle-In-Cell Method. Contrib. Plasma Phys., 47(8-9):563–594, 2007.
J. Stoer and R. Bulirsch. Numerische Mathematik 2. Springer Verlag, 5th edition, 2005.
Konstantin Matyash, Ralf Schneider, Andreas Mutzke, Oleksandr Kalentev, Francesco Taccogna, Norbert Koch, and Martin Schirra. Kinetic simulations of SPT and HEMP thrusters including the near-field plume region, December 2009. First presented at the ICNSP’09.
J. Stoer. Numerische Mathematik 1. Springer Verlag, 9th edition, 2005.
Xiaoye S. Li. An overview of SuperLU: Algorithms, implementation, and user interface . ACM Trans. Mathematical Software, 31:302–325, September 2005.
Konstantin Matyash, Ralf Schneider, Andreas Mutzke, Oleksandr Kalentev, Francesco Taccogna, Norbert Koch, and Martin Schirra. Kinetic Simulations of SPT and HEMP Thrusters Including the Near-Field Plume Region. IEEE Transactions on Plasma Since, 38(9, Part 1):2274–2280, SEP 2010.
Karl Felix Lüskow. Physics of Ion Thrusters’ Plumes, Master’s thesis, University of Greifswald, July 2013.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).