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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016 Number 3, Pages 20–24 (Mi vmumm148)

Mathematics

Numerical stabilization from the boundary for solutions of a model one-dimensional of a model one-Dimensional RBMK reactor

A. A. Kornev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problem of construction of first king boundary conditions providing an asymptotic change of the trivial solution of a model one-dimensional RBMK reactor to the required stationary state is numerically studied according to specific features of this model. Results of calculations are presented for different admissible modes. The principal feasibility of efficient stabilization of the dynamics of occurring processes by boundary control of fast and slow neutrons is shown as well as its essential slow-down in the control of only fast neutrons.

Key words: numerical stabilization from the boudary, neutron fields, simulation of RBMK-reactor.

UDC: 519.6

Received: 27.11.2015


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:3, 106–110

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