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Volume 13, Issue 4
High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li & Yuqiu Gu

DOI: 10.4208/cicp.290811.050412a

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

Published online: 2013-08

[An open-access article; the PDF is free to any online user.]

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  • 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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@Article{CiCP-13-1134, author = {Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li and Yuqiu Gu}, title = {High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {4}, pages = {1134--1150}, 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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.290811.050412a}, url = {http://global-sci.org/intro/article_detail/cicp/7267.html} }
TY - JOUR T1 - High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations AU - Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li & Yuqiu Gu JO - Communications in Computational Physics VL - 4 SP - 1134 EP - 1150 PY - 2013 DA - 2013/08 SN - 13 DO - http://doi.org/10.4208/cicp.290811.050412a UR - https://global-sci.org/intro/article_detail/cicp/7267.html KW - AB -

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. 

Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li and Yuqiu Gu. (2013). High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations. Communications in Computational Physics. 13 (4). 1134-1150. doi:10.4208/cicp.290811.050412a
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