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- W2093969340 abstract "Abstract This paper presents a scheme to obtain the fundamental and few dominant solutions of the prompt time eigenvalue problem (referred to as α -eigenvalue problem) for a nuclear reactor using multi-group neutron diffusion theory. The scheme is based on the use of an algorithm called Orthomin(1). This algorithm was originally proposed by Suetomi and Sekimoto [Suetomi, E., Sekimoto, H., 1991. Conjugate gradient like methods and their application to eigenvalue problems for neutron diffusion equations. Ann. Nucl. Energy 18 (4), 205–227] to obtain the fundamental K -eigenvalue ( K -effective) of nuclear reactors. Recently, it has been shown that the algorithm can be used to obtain the further dominant K -modes also. Since α -eigenvalue problem is usually more difficult to solve than the K -eigenvalue problem, an attempt has been made here to use Orthomin(1) for its solution. Numerical results are given for realistic 3-D test case." @default.
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- W2093969340 date "2007-03-01" @default.
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- W2093969340 title "A scheme for the evaluation of dominant time-eigenvalues of a nuclear reactor" @default.
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- W2093969340 doi "https://doi.org/10.1016/j.anucene.2006.12.009" @default.
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