High-order interpolation algorithms for charge conservation in particle-in-cell simulations

Abstract

High-order interpolation algorithms for charge conservation in Particle-in-Cell (PIC) simulations are presented. The methods are valid for the case that a particle trajectory is a zigzag line. The second-order and third-order algorithms which can be applied to any even-order and odd-order are discussed in this paper, respectively. Several test simulations are performed to demonstrate their validity in two-dimensional PIC code. Compared with the simulation results of one-order, high-order algorithms have advantagesin computation precision and enlarging the grid scales which reduces the CPU time. © 2013 Global-Science Press.