METHOD OF ASSOCIATED INVARIANT SUBSPACES TO SOLVE NEUTRON DISTRIBUTION PROBLEMS IN LOOSELY COUPLED SYSTEMS
E. A. Biberdorf, E. F. Mitenkova, T. V. Semyenova, E. V. Solovyeva
VANT. Ser.: Mat. Mod. Fiz. Proc 2022. Вып.2. С. 3-16.
When simulating the neutron transport in complex heterogeneous media, the most accurate distribution of neutrons is achieved with statistical Monte Carlo algorithms.However, in loosely coupled systems the algorithmic features of the power iteration method used in calculations may lead to significant errors and even incorrect results. The method of associated invariant subspaces based on the fission matrix generated using the TDMCC code is proposed to calculate the neutron distribution. It is based on the matrix spectrum dichotomy method developed at the Sobolev Institute of Mathematics of the Siberian Branch of RAS. A new formulation of the asymmetric spectral problem is considered for solving application problems. Keywords: loosely coupled system, fission matrix, spectral problem, matrix spectrum dichotomy.
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