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
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.
Email: firstname.lastname@example.org (J. Q. Yu), email@example.com (X. L. Jin), firstname.lastname@example.org (W. M. Zhou), email@example.com (B. Li), firstname.lastname@example.org (Y. Q. Gu)