Efficient and accurate depletion calculations via two-block decomposition of nuclide concentration vector

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A new method of depletion calculation is introduced by decomposing nuclide concentration vector into two blocks (short-lived nuclide block and long-lived nuclide block). For short-lived nuclide block calculation, general Bateman solution of each short-lived nuclide is used. An "importance" concept is introduced for selecting important parents for producing a particular short-lived nuclide so that computational burden for Bateman solution calculation is reduced. Long-lived nuclide block is solved by the method of variation of parameters, in which matrix exponentials are calculated efficiently since the norm of long-lived nuclide block matrix is small. The two-block decomposition method is tested on UO2 PWR fuel depletion problems and compared to existing depletion methods, i.e., ORIGEN code and Krylov subspace methods. The numerical results show that the two-block decomposition method gives much more accurate results than those of the ORIGEN code for similar computing time. For similar accuracy computing time of the two-block decomposition method is similar to 10 times less than that of the Krylov subspace method. (C) 2012 Elsevier Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2013-03
Language
English
Article Type
Article
Keywords

BURNUP CALCULATIONS; MATRIX; APPROXIMATIONS

Citation

ANNALS OF NUCLEAR ENERGY, v.53, pp.147 - 157

ISSN
0306-4549
DOI
10.1016/j.anucene.2012.08.031
URI
http://hdl.handle.net/10203/173453
Appears in Collection
NE-Journal Papers(저널논문)
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