Abstract:
Methodology for multigroup neutron transport equation calculation for 2D r-z geometry on the basis of quasi-diffusion method is described. The application of quasi-diffusion method for solving eigenvalues problem of neutron transport leads to essential decreasing of needed amount of source iterations with simultaneous increasing of the accuracy. Results for determining of parameters of active zone of uranium-plutonium fast reactor of BN-800 type which can operate in self-adjustable mode are posted.
Citation:
E. N. Aristova, V. Ya. Gol'din, “Low-cost calculation of multigroup neutron transport equations for time-to-time recalculation of averaged over spectrum cross-sections”, Mat. Model., 20:11 (2008), 41–54; Math. Models Comput. Simul., 1:5 (2009), 561–572
\Bibitem{AriGol08}
\by E.~N.~Aristova, V.~Ya.~Gol'din
\paper Low-cost calculation of multigroup neutron transport equations for time-to-time recalculation of averaged over spectrum cross-sections
\jour Mat. Model.
\yr 2008
\vol 20
\issue 11
\pages 41--54
\mathnet{http://mi.mathnet.ru/mm2703}
\zmath{https://zbmath.org/?q=an:1164.82330}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 5
\pages 561--572
\crossref{https://doi.org/10.1134/S2070048209050044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869015591}
Linking options:
https://www.mathnet.ru/eng/mm2703
https://www.mathnet.ru/eng/mm/v20/i11/p41
This publication is cited in the following 8 articles:
S. A. Grabovenskaya, V. V. Zaviyalov, A. A. Shestakov, “Two approaches to effectively reduce the size of radiative heat transfer problems in multidimensional geometry”, Math. Models Comput. Simul., 14:2 (2022), 289–296
E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation”, Comput. Math. Math. Phys., 56:6 (2016), 962–976
E. N. Aristova, G. O. Astafurov, “The second order short-characteristics method for the solution of the transport equation on a tetrahedron grid”, Math. Models Comput. Simul., 9:1 (2017), 40–47
E. N. Aristova, D. F. Baydin, “Efficiency of quasi-diffusion methods for calculation of crucial parameters of fast reactors”, Math. Models Comput. Simul., 4:6 (2012), 568–573
B. V. Rogov, M. N. Mikhailovskaya, “The monotonic bicompact schemes for a linear transfer equation”, Math. Models Comput. Simul., 4:1 (2012), 92–100
Rogov B.V., Mikhailovskaya M.N., “Monotone bicompact schemes for a linear advection equation”, Dokl. Math., 83:1 (2011), 121–125
E. P. Sychugova, “δ-process for acceleration of outer iterations in reactor problems”, Math. Models Comput. Simul., 3:1 (2011), 113–121
V. Ya. Gol'din, E. N. Aristova, G. A. Pestryakova, M. I. Stoynov, “Project of active zone for the reactor of BN-800 type operating without of the reactivity margin under non-intensive control during long time”, Math. Models Comput. Simul., 2:3 (2010), 273–280
Citation in format AMSBIB
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