A low-order quasidiffusion discretization via linear-continuous finite-elements on unstructured triangular meshes

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Abstract

A new finite element discretization is presented for the low-order quasidiffusion (LOQD) equations, based on a linear-continuous finite elements (LCFE) discretization of a second-order form of the LOQD equations with the scalar flux as the only unknown. The high-order (transport) equation of the proposed QD method utilizes a standard linear-discontinuous finite element (LDFE) discretization [12] plus a hybrid-collocation Galerkin-SN angular treatment [7]. The result is a completely finite element-based QD discretization. Numerical results demonstrate the expected first-order spatial convergence in a simple test and accuracy comparable to the pure LDFE transport discretization in a more complex one. Possible improvements to the method are discussed.

Original languageEnglish
Title of host publicationInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
PublisherAmerican Nuclear Society
Pages182-197
Number of pages16
ISBN (Print)9781617820014
StatePublished - 2010
Externally publishedYes
EventInternational Conference on the Physics of Reactors 2010, PHYSOR 2010 - Pittsburgh, United States
Duration: May 9 2010May 14 2010

Publication series

NameInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
Volume1

Conference

ConferenceInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
Country/TerritoryUnited States
CityPittsburgh
Period05/9/1005/14/10

Keywords

  • Continuous finite elements
  • Discretization
  • Quasidiffusion
  • Transport

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