Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems

  • A. V. Avvakumov
  • V. F. Strizhov
  • P. N. Vabishchevich
  • A. O. VasilevEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)


The paper is devoted to the issues of modelling the reactor dynamics using multi-group neutron diffusion approximation. Two schemes for the time approximation were considered, namely, an implicit and an explicit-implicit one. For the numerical solution a finite element software was developed based on the package FEniCS and the spectral problems library SLEPc. The code Gmsh is used for the mesh generation. Numerical tests were performed to analyse a regular mode of the VVER-type reactor model.


Neutron Flux Spectral Problem Neutron Generation Regular Mode Neutron Transport 
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This work was supported by the Russian Foundation for Basic Research (project 16-08-01215) and by the Scientific and Educational Foundation for Young Scientists of Republic of Sakha (Yakutia) 201604010207.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • A. V. Avvakumov
    • 1
  • V. F. Strizhov
    • 2
  • P. N. Vabishchevich
    • 2
  • A. O. Vasilev
    • 3
    Email author
  1. 1.National Research Center Kurchatov InstituteMoscowRussia
  2. 2.Nuclear Safety Institute of RASMoscowRussia
  3. 3.North-Eastern Federal UniversityYakutskRussia

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