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  • In this paper we deal with numerical methods for the multigroup neutron diffusion equation in the VVER type nuclear reactors. Characteristic feature of these reactors are their hexagonal fuel assemblies. This fact has significant consequences for numerical solution of particular equations. We use nodal methods to establish the numerical solution. The main advantage of this class of methods is their high speed without substantial loss of accuracy. Particularly we focus on a modern variant of nodal methods, i.e. the nodal methods involving conformal mapping. These methods give more accurate results than classical nodal methods. We also bring insight in the classical theory of homogenization, which is an indivisible part of the nodal methods.
  • In this paper we deal with numerical methods for the multigroup neutron diffusion equation in the VVER type nuclear reactors. Characteristic feature of these reactors are their hexagonal fuel assemblies. This fact has significant consequences for numerical solution of particular equations. We use nodal methods to establish the numerical solution. The main advantage of this class of methods is their high speed without substantial loss of accuracy. Particularly we focus on a modern variant of nodal methods, i.e. the nodal methods involving conformal mapping. These methods give more accurate results than classical nodal methods. We also bring insight in the classical theory of homogenization, which is an indivisible part of the nodal methods. (en)
Title
  • Numerical Modeling of Neutron Flux in Hexagonal Geometry
  • Numerical Modeling of Neutron Flux in Hexagonal Geometry (en)
skos:prefLabel
  • Numerical Modeling of Neutron Flux in Hexagonal Geometry
  • Numerical Modeling of Neutron Flux in Hexagonal Geometry (en)
skos:notation
  • RIV/49777513:23520/08:43914921!RIV13-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM4977751301)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 383479
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  • RIV/49777513:23520/08:43914921
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  • conformal mapping; hexagonal mesh; nodal method; neutron transport; diffusion equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [3380EC394C16]
http://linked.open...v/mistoKonaniAkce
  • Dolní Maxov
http://linked.open...i/riv/mistoVydani
  • Prague
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  • Programs and Algorithms of Numerical Mathematics 14
http://linked.open...in/vavai/riv/obor
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  • Hanuš, Milan
  • Berka, Tomáš
  • Brandner, Marek
  • Kužel, Roman
  • Matas, Aleš
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http://linked.open...ain/vavai/riv/wos
  • 000290967400002
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Institute of Mathematics
https://schema.org/isbn
  • 978-80-85823-55-4
http://localhost/t...ganizacniJednotka
  • 23520
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