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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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Sub-cell Balanced Nodal Expansion Methods using S4 Eigenfunctions for Multi-group Sn Transport Problems in Slab Geometry

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Title
Sub-cell Balanced Nodal Expansion Methods using S4 Eigenfunctions for Multi-group Sn Transport Problems in Slab Geometry
Author
Hong, SergiLee, Deokjung
Issue Date
2015-03
Publisher
TAYLOR & FRANCIS LTD
Citation
JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY, v.52, no.3, pp.315 - 331
Abstract
A highly accurate S4 eigenfunction-based nodal method has been developed to solve multi-group discrete ordinate neutral particle transport problems with a linearly anisotropic scattering in slab geometry. The new method solves the even-parity form of discrete ordinates transport equation with an arbitrary SN order angular quadrature using two sub-cell balance equations and the S4 eigenfunctions of within-group transport equation. The four eigenfunctions from S4 approximation have been chosen as basis functions for the spatial expansion of the angular flux in each mesh. The constant and cubic polynomial approximations are adopted for the scattering source terms from other energy groups and fission source. A nodal method using the conventional polynomial expansion and the sub-cell balances was also developed to be used for demonstrating the high accuracy of the new methods. Using the new methods, a multi-group eigenvalue problem has been solved as well as fixed source problems. The numerical test results of one-group problem show that the new method has third-order accuracy as mesh size is finely refined and it has much higher accuracies for large meshes than the diamond differencing method and the nodal method using sub-cell balances and polynomial expansion of angular flux. For multi-group problems including eigenvalue problem, it was demonstrated that the new method using the cubic polynomial approximation of the sources could produce very accurate solutions even with large mesh sizes.
URI
https://scholarworks.unist.ac.kr/handle/201301/9525
URL
http://www.tandfonline.com/doi/full/10.1080/00223131.2014.949892
DOI
10.1080/00223131.2014.949892
ISSN
0022-3131
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