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Lee, Deokjung
Computational Reactor physics & Experiment lab (CORE Lab)
Research Interests
  • Reactor Analysis computer codes development
  • Methodology development of reactor physics
  • Nuclear reactor design(SM-SFR,PWR and MSR)

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Convergence analysis of two-node CMFD method for two-group neutron diffusion eigenvalue problem

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Title
Convergence analysis of two-node CMFD method for two-group neutron diffusion eigenvalue problem
Author
Jeong, YongjinPark, JinsuLee, Hyun ChulLee, Deokjung
Issue Date
2015-12
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation
JOURNAL OF COMPUTATIONAL PHYSICS, v.302, pp.239 - 250
Abstract
In this paper, the nonlinear coarse-mesh finite difference method with two-node local problem (CMFD2N) is proven to be unconditionally stable for neutron diffusion eigenvalue problems. The explicit current correction factor (CCF) is derived based on the two-node analytic nodal method (ANM2N), and a Fourier stability analysis is applied to the linearized algorithm. It is shown that the analytic convergence rate obtained by the Fourier analysis compares very well with the numerically measured convergence rate. It is also shown that the theoretical convergence rate is only governed by the converged second harmonic buckling and the mesh size. It is also noted that the convergence rate of the CCF of the CMFD2N algorithm is dependent on the mesh size, but not on the total problem size. This is contrary to expectation for eigenvalue problem. The novel points of this paper are the analytical derivation of the convergence rate of the CMFD2N algorithm for eigenvalue problem, and the convergence analysis based on the analytic derivations.
URI
https://scholarworks.unist.ac.kr/handle/201301/17642
URL
http://www.sciencedirect.com/science/article/pii/S0021999115005847
DOI
10.1016/j.jcp.2015.09.004
ISSN
0021-9991
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