A Parallel Multigrid Poisson Solver for PINC, a new Particle-in-Cell Model

Abstract

This thesis is about the development of a parallel multigrid solver to the Particle-in-Cell program PINC. The workings of the multigrid solver is described as well the most important parts of PINC. The solver is confirmed to work accurately on various test cases. The convergence rate of the algorithm was found to be between \(0.149\) and \(0.203\) for various grid sizes. A Langmuir oscillation was simulated with the PINC, where it performed the expected number of oscillations confirming that the program as a whole works.