The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation

The Advanced Multilevel Predictor-Corrector Quasi-static Method (AML-PCQM) is proposed in this work. The four computational levels, including transport, Multi-Group (MG) Coarse Mesh Finite Difference (CMFD), One-Group (1G) CMFD, and Exact Point-Kinetics Equation (EPKE), are coupled with a new dynami...

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Main Authors: Le Kang, Chen Hao, Qiang Zhao, Yunlin Xu
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-08-01
Series:Frontiers in Energy Research
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fenrg.2021.747148/full
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author Le Kang
Chen Hao
Qiang Zhao
Yunlin Xu
author_facet Le Kang
Chen Hao
Qiang Zhao
Yunlin Xu
author_sort Le Kang
collection DOAJ
description The Advanced Multilevel Predictor-Corrector Quasi-static Method (AML-PCQM) is proposed in this work. The four computational levels, including transport, Multi-Group (MG) Coarse Mesh Finite Difference (CMFD), One-Group (1G) CMFD, and Exact Point-Kinetics Equation (EPKE), are coupled with a new dynamic iteration strategy. In each coupling algorithm, the original Transient Fixed Source Problem (TFSP) is solved in the predictor process using coarse time step, and then the flux distribution is factorized to the functions of amplitude and shape in the next corrector process. Finally, multiple fine time steps are used to adjust the predicted solution. Two heterogeneous single assembly problems with the prompt control rod withdrawal event are used to verify the AML-PCQM scheme’s accuracy and efficiency. The numerical results obtained by different cases are compared and analyzed. The final results indicate that the AML-PCQM performs the remarkable advantages of efficiency and accuracy with the reference cases.
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spelling doaj.art-9dcefa56082b45bfb17ee24af6c908e62022-12-21T23:24:46ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2021-08-01910.3389/fenrg.2021.747148747148The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics SimulationLe Kang0Chen Hao1Qiang Zhao2Yunlin Xu3Fundamental Science on Nuclear Safety and Simulation Technology Laboratory, Harbin Engineering University, Harbin, ChinaFundamental Science on Nuclear Safety and Simulation Technology Laboratory, Harbin Engineering University, Harbin, ChinaFundamental Science on Nuclear Safety and Simulation Technology Laboratory, Harbin Engineering University, Harbin, ChinaSchool of Nuclear Engineering, Purdue University, West Lafayette, IN, United StatesThe Advanced Multilevel Predictor-Corrector Quasi-static Method (AML-PCQM) is proposed in this work. The four computational levels, including transport, Multi-Group (MG) Coarse Mesh Finite Difference (CMFD), One-Group (1G) CMFD, and Exact Point-Kinetics Equation (EPKE), are coupled with a new dynamic iteration strategy. In each coupling algorithm, the original Transient Fixed Source Problem (TFSP) is solved in the predictor process using coarse time step, and then the flux distribution is factorized to the functions of amplitude and shape in the next corrector process. Finally, multiple fine time steps are used to adjust the predicted solution. Two heterogeneous single assembly problems with the prompt control rod withdrawal event are used to verify the AML-PCQM scheme’s accuracy and efficiency. The numerical results obtained by different cases are compared and analyzed. The final results indicate that the AML-PCQM performs the remarkable advantages of efficiency and accuracy with the reference cases.https://www.frontiersin.org/articles/10.3389/fenrg.2021.747148/fulltransientpredictor-corrector quasi-static methodmultilevelTFSPAML-PCQM
spellingShingle Le Kang
Chen Hao
Qiang Zhao
Yunlin Xu
The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
Frontiers in Energy Research
transient
predictor-corrector quasi-static method
multilevel
TFSP
AML-PCQM
title The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
title_full The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
title_fullStr The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
title_full_unstemmed The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
title_short The Advanced Multilevel Predictor-Corrector Quasi-Static Method for Pin-Resolved Neutron Kinetics Simulation
title_sort advanced multilevel predictor corrector quasi static method for pin resolved neutron kinetics simulation
topic transient
predictor-corrector quasi-static method
multilevel
TFSP
AML-PCQM
url https://www.frontiersin.org/articles/10.3389/fenrg.2021.747148/full
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