Open AccessSolutioin of Poisson's Equation in Electrostatic Particle-on-cell Simulation
Author(s) -
Daniel Kahnfeld,
Rudolf J. Schneider,
K. Matyash,
Oleksandr Kalentev,
Stefan Kemnitz,
Julia Duras,
Karl Felix Lüskow,
G. Bandelow
Publication year - 2016
Publication title -
plasma physics and technology
Language(s) - English
Resource type - Journals
eISSN - 2336-2634
pISSN - 2336-2626
DOI - 10.14311/ppt.2016.2.66
Subject(s) - poisson's equation , solver , poisson distribution , relaxation (psychology) , particle (ecology) , particle in cell , decomposition , discrete poisson equation , iterative method , electrostatics , physics , mathematics , poisson–boltzmann equation , classical mechanics , ion , statistical physics , computer science , mathematical optimization , mathematical analysis , partial differential equation , laplace's equation , chemistry , quantum mechanics , plasma , statistics , psychology , social psychology , oceanography , organic chemistry , geology
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.