The neutron transport solution using Daubechies' wavelet discretization in the angular domain

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Abstract

Daubechies' wavelet expansion is introduced to discretize the angular variable of neutron transport equation. A coupled angular discretization scheme based on the wavelet expansion and discrete ordinate method is applied. Anisotropic scattering is considered and three-dimensional calculation is taken by use of the coupled scheme. In order to perform the calculation on unstructured geometries, the FEM (finite element method) is applied in the spatial discretization. The boundary conditions are exactly solved by dividing the angular domain into eight angular subdomains in the three-dimensional calculation. A set of wavelet equations coupled with each other is obtained in each subdomain and it is decoupled by an iterative method. The numerical results demonstrate that the wavelet expansion method and the coupled angular discretization scheme are feasible and accurate.

Original languageEnglish
Title of host publicationInternational Conference on the Physics of Reactors 2008, PHYSOR 08
PublisherPaul Scherrer Institut
Pages612-618
Number of pages7
ISBN (Print)9781617821219
StatePublished - 2008
EventInternational Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland
Duration: 14 Sep 200819 Sep 2008

Publication series

NameInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Volume1

Conference

ConferenceInternational Conference on the Physics of Reactors 2008, PHYSOR 08
Country/TerritorySwitzerland
CityInterlaken
Period14/09/0819/09/08

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