E. N. Aristova, V. Ya. Gol'din, “The neutron transport equation solving coupled with the quasi-diffusion equations solving in r-z geometry”, Mat. Model., 18:11 (2006), 61

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Matematicheskoe modelirovanie, 2006, Volume 18, Number 11, Pages 61–66 (Mi mm122)

This article is cited in 8 scientific papers (total in 8 papers)

The neutron transport equation solving coupled with the quasi-diffusion equations solving in r-z geometry

E. N. Aristova, V. Ya. Gol'din

Institute for Mathematical Modelling, Russian Academy of Sciences

Full-text PDF (388 kB) Citations (8)

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Abstract: The improvement of 2D leakage estimation throughout top and bottom of reactor active zone on the basis of coupled decision of transport equation and quasi-diffusion equations for effective one group has been suggested. Coefficients for this system have been determinate throw ought averaging muligroup cross-sections with 1D calculation spectrum. It has been shown that scalar neutron flux calculated in 1D model with account of 2D leakage is correspond to integral average of neutron flux calculated in 2D model on height of active zone.

Received: 12.12.2005

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Language: Russian

Citation: E. N. Aristova, V. Ya. Gol'din, “The neutron transport equation solving coupled with the quasi-diffusion equations solving in r-z geometry”, Mat. Model., 18:11 (2006), 61–66

Citation in format AMSBIB

\Bibitem{AriGol06}

\by E.~N.~Aristova, V.~Ya.~Gol'din

\paper The neutron transport equation solving coupled with the quasi-diffusion equations solving in r-z geometry

\jour Mat. Model.

\yr 2006

\vol 18

\issue 11

\pages 61--66

\mathnet{http://mi.mathnet.ru/mm122}

\zmath{https://zbmath.org/?q=an:1108.81312}

Linking options:

https://www.mathnet.ru/eng/mm122

https://www.mathnet.ru/eng/mm/v18/i11/p61

This publication is cited in the following 8 articles:

D. F. Baydin, E. N. Aristova, “3D hexagonal parallel code QuDiff for fast reactor critical parameters calculations”, Math. Models Comput. Simul., 8:4 (2016), 446–452
E. N. Aristova, M. I. Stoynov, “Bicompact schemes of solving an stationary transport equation by quasi–diffusion method”, Math. Models Comput. Simul., 8:6 (2016), 615–624
Aristova E.N. Rogov B.V., “Bicompact Scheme For the Multidimensional Stationary Linear Transport Equation”, Appl. Numer. Math., 93:SI (2015), 3–14
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
E. N. Aristova, D. F. Baydin, “Quasidiffusion method realization for fast reactor critical parameters calculation in 3D hexagonal geometry”, Math. Models Comput. Simul., 5:2 (2013), 145–155
E. N. Aristova, B. V. Rogov, “About implementation of boundary conditions in the bicompact schemes for a linear transport equation”, Math. Models Comput. Simul., 5:3 (2013), 199–207
V. Ya. Gol'din, G. A. Pestryakova, Yu. V. Troshchiev, “Analysis of self-regulating uranium-plutonium reactor stopping and then second starting”, Math. Models Comput. Simul., 2:6 (2010), 678–681
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”, Math. Models Comput. Simul., 1:5 (2009), 561–572

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	901
Full-text PDF :	543
References:	82
First page:	19

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