High-order interpolation algorithms for charge conservation in Particle-inCell(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 advantages in computation precision and enlarging the grid scales which reduces the CPU time.
