Abstract
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.
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Acknowledgements
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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Avvakumov, A.V., Strizhov, V.F., Vabishchevich, P.N., Vasilev, A.O. (2017). Algorithms for Numerical Simulation of Non-stationary Neutron Diffusion Problems. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_21
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DOI: https://doi.org/10.1007/978-3-319-57099-0_21
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