@inproceedings {antonio-spp-2009, title = {Selecting a practical successive over relaxation parameter for a particle-in-cell method}, booktitle = {Proceedings of the 27th Samahang Pisika ng Pilipinas Physics Congress}, year = {2009}, month = {28{\textendash}30 Oct 2009}, pages = {SPP-2009-156}, address = {Development Academy of the Philippines Convention Center, Tagaytay City}, abstract = {
The rate of convergence of the Successive Over-Relaxation (SOR) method depends on the choice of SOR Parameter,\ ω. It is shown\ that the SOR method as a Poisson Solver in the Particle-in-Cell (PIC), has a practical SOR parameter,\ ωp, that is independent\ of the number of particles contained by the system. A method that speeds up the selection of this\ ωp\ is proposed.\ For a 16x16 Plasma PIC system, using 7 test points and an increment of s = 0.03215, the\ ωp\ selected by the method is\ 1.71 which is equal to the\ ωp\ determined from a parameter scan.
}, author = {Kristine Eia S Antonio and Ronald S. Banzon} }