Spectral Analysis in Neutron Distribution Problems in Weakly Coupled Systems

Neutronics calculations based on the Monte Carlo statistical algorithms make it possible to obtain the most accurate distribution of neutrons in complex heterogeneous media. So, although the iteration method of generations secures a correct calculation of the neutronics characteristics in reactor sy...

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Bibliographic Details
Published in:Atomic energy (New York, N.Y.) N.Y.), 2022-02, Vol.131 (4), p.212-218
Main Authors: Biberdorf, E. A., Mitenkova, E. F., Semenova, T. V.
Format: Article
Language:English
Subjects:
Algorithms
Dichotomies
Eigenvalues
Energy industry
Hadrons
Heavy Ions
Iterative methods
Mathematical analysis
Mathematics
Neutron distribution
Neutrons
Nuclear Chemistry
Nuclear Energy
Nuclear Physics
Nuclear power plants
Perturbation
Physics
Physics and Astronomy
Spectral analysis
Spectrum analysis
Subspaces
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Summary:Neutronics calculations based on the Monte Carlo statistical algorithms make it possible to obtain the most accurate distribution of neutrons in complex heterogeneous media. So, although the iteration method of generations secures a correct calculation of the neutronics characteristics in reactor systems it can lead to signifi cant errors and even unreliable results in weakly coupled systems. The specifi cs of weakly coupled systems with marked sensitivity of the calculated distributions to small perturbations, which do not change the neutronics properties of a system, requires a different approach to the calculation of neutron distributions. A method of associated invariant subspaces is proposed for calculating the neutron distribution in weakly coupled systems. This method is based on the method of dichotomies of a matrix spectrum developed at the Sobolev Institute of Mathematics at the Siberian Branch of the Russian Academy of Sciences.
ISSN:1063-4258
1573-8205
DOI:10.1007/s10512-022-00863-7