Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems

By incorporating the higher-order concept with the perfectly matched later (PML) scheme, unconditionally stable approximate Crank–Nicolson algorithm is proposed for plasma simulation in open region problems. More precisely, the proposed implementation is based on the CN Direct-Splitting (CNDS) proce...

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Main Authors: Liqiang Niu, Yongjun Xie, Jie Gao, Peiyu Wu, Haolin Jiang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2021/6618492
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author Liqiang Niu
Yongjun Xie
Jie Gao
Peiyu Wu
Haolin Jiang
author_facet Liqiang Niu
Yongjun Xie
Jie Gao
Peiyu Wu
Haolin Jiang
author_sort Liqiang Niu
collection DOAJ
description By incorporating the higher-order concept with the perfectly matched later (PML) scheme, unconditionally stable approximate Crank–Nicolson algorithm is proposed for plasma simulation in open region problems. More precisely, the proposed implementation is based on the CN Direct-Splitting (CNDS) procedure for the finite-difference time-domain (FDTD) unmagnetized plasma simulation. The unmagnetized plasma can be regarded as frequency-dependent media which can be calculated by the piecewise linear recursive convolution (PLRC) method. The proposed implementation shows the advantages of higher-order concept, CNDS procedure, and PLRC method in terms of improved absorbing performance, enhanced computational efficiency, and outstanding calculation accuracy. Numerical examples are introduced to indicate the effectiveness and efficiency. It can be concluded from results that the proposed scheme shows considerable efficiency, accuracy, absorption, and unconditional stability.
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institution Kabale University
issn 1687-5869
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-823e5ebfdb7a41fbaba7fa1c016eaff22025-08-20T03:35:27ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772021-01-01202110.1155/2021/66184926618492Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region ProblemsLiqiang Niu0Yongjun Xie1Jie Gao2Peiyu Wu3Haolin Jiang4College of Physics and Electronic Engineering, Taishan University, Taian 271000, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic & Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaBy incorporating the higher-order concept with the perfectly matched later (PML) scheme, unconditionally stable approximate Crank–Nicolson algorithm is proposed for plasma simulation in open region problems. More precisely, the proposed implementation is based on the CN Direct-Splitting (CNDS) procedure for the finite-difference time-domain (FDTD) unmagnetized plasma simulation. The unmagnetized plasma can be regarded as frequency-dependent media which can be calculated by the piecewise linear recursive convolution (PLRC) method. The proposed implementation shows the advantages of higher-order concept, CNDS procedure, and PLRC method in terms of improved absorbing performance, enhanced computational efficiency, and outstanding calculation accuracy. Numerical examples are introduced to indicate the effectiveness and efficiency. It can be concluded from results that the proposed scheme shows considerable efficiency, accuracy, absorption, and unconditional stability.http://dx.doi.org/10.1155/2021/6618492
spellingShingle Liqiang Niu
Yongjun Xie
Jie Gao
Peiyu Wu
Haolin Jiang
Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
International Journal of Antennas and Propagation
title Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
title_full Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
title_fullStr Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
title_full_unstemmed Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
title_short Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems
title_sort approximate crank nicolson algorithm with higher order pml implementation for plasma simulation in open region problems
url http://dx.doi.org/10.1155/2021/6618492
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AT jiegao approximatecranknicolsonalgorithmwithhigherorderpmlimplementationforplasmasimulationinopenregionproblems
AT peiyuwu approximatecranknicolsonalgorithmwithhigherorderpmlimplementationforplasmasimulationinopenregionproblems
AT haolinjiang approximatecranknicolsonalgorithmwithhigherorderpmlimplementationforplasmasimulationinopenregionproblems