Commun. Comput. Phys., 13 (2013), pp. 1134-1150.


High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

Jinqing Yu 1, Xiaolin Jin 2, Weimin Zhou 3, Bin Li 2*, Yuqiu Gu 3*

1 Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China; and Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China.
2 Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China.
3 Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China.

Received 29 August 2011; Accepted (in revised version) 5 April 2012
Available online 21 September 2012
doi:10.4208/cicp.290811.050412a

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 advantages in computation precision and enlarging the grid scales which reduces the CPU time.


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PACS: 02.60.-x, 52.65.Rr, 52.65.-y
Key words: High-order algorithms, charge conservation, PIC code, CPU time.

*Corresponding author.
Email: yujinqing5480@sina.com (J. Q. Yu), jinxiaolin@uestc.edu.cn (X. L. Jin), zhouweimin@gmail.com (W. M. Zhou), libin@uestc.edu.cn (B. Li), yqgu@caep.ac.cn (Y. Q. Gu)
 

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