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Title: Extension of modified power method to two-dimensional problems

Abstract

In this study, the generalized modified power method was extended to two-dimensional problems. A direct application of the method to two-dimensional problems was shown to be unstable when the number of requested eigenmodes is larger than a certain problem dependent number. The root cause of this instability has been identified as the degeneracy of the transfer matrix. In order to resolve this instability, the number of sub-regions for the transfer matrix was increased to be larger than the number of requested eigenmodes; and a new transfer matrix was introduced accordingly which can be calculated by the least square method. The stability of the new method has been successfully demonstrated with a neutron diffusion eigenvalue problem and the 2D C5G7 benchmark problem. - Graphical abstract:.

Authors:
 [1];  [2];  [3];  [3]
  1. School of Power and Mechanical Engineering, Wuhan University, Bayilu 299, Wuchang Dist., Wuhan, Hubei, 430072 (China)
  2. (Korea, Republic of)
  3. Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan 44919 (Korea, Republic of)
Publication Date:
OSTI Identifier:
22572344
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 320; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BENCHMARKS; EIGENVALUES; INSTABILITY; LEAST SQUARE FIT; MATRICES; NEUTRON DIFFUSION EQUATION; NEUTRONS; STABILITY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Zhang, Peng, Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan 44919, Lee, Hyunsuk, and Lee, Deokjung, E-mail: deokjung@unist.ac.kr. Extension of modified power method to two-dimensional problems. United States: N. p., 2016. Web. doi:10.1016/J.JCP.2016.05.024.
Zhang, Peng, Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan 44919, Lee, Hyunsuk, & Lee, Deokjung, E-mail: deokjung@unist.ac.kr. Extension of modified power method to two-dimensional problems. United States. doi:10.1016/J.JCP.2016.05.024.
Zhang, Peng, Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan 44919, Lee, Hyunsuk, and Lee, Deokjung, E-mail: deokjung@unist.ac.kr. Thu . "Extension of modified power method to two-dimensional problems". United States. doi:10.1016/J.JCP.2016.05.024.
@article{osti_22572344,
title = {Extension of modified power method to two-dimensional problems},
author = {Zhang, Peng and Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan 44919 and Lee, Hyunsuk and Lee, Deokjung, E-mail: deokjung@unist.ac.kr},
abstractNote = {In this study, the generalized modified power method was extended to two-dimensional problems. A direct application of the method to two-dimensional problems was shown to be unstable when the number of requested eigenmodes is larger than a certain problem dependent number. The root cause of this instability has been identified as the degeneracy of the transfer matrix. In order to resolve this instability, the number of sub-regions for the transfer matrix was increased to be larger than the number of requested eigenmodes; and a new transfer matrix was introduced accordingly which can be calculated by the least square method. The stability of the new method has been successfully demonstrated with a neutron diffusion eigenvalue problem and the 2D C5G7 benchmark problem. - Graphical abstract:.},
doi = {10.1016/J.JCP.2016.05.024},
journal = {Journal of Computational Physics},
number = ,
volume = 320,
place = {United States},
year = {Thu Sep 01 00:00:00 EDT 2016},
month = {Thu Sep 01 00:00:00 EDT 2016}
}