Use of discontinuity factors in high-order finite element methods
Journal article, 2016

The discontinuity factors are a technique widely used in nodal methods to minimize the error due to spatial homogenization of cross sections for a coarse mesh core calculation. In the present work, the introduction of discontinuity factors in a high-order finite element approximation of the neutron diffusion equation is investigated. More precisely, classical reference and assembly discontinuity factors are introduced in a discontinuous Galerkin finite element method stabilized using an interior penalty formulation for the neutron diffusion equation. The proposed method is tested solving different one- and two-dimensional benchmark problems, showing that the discontinuity factors technique can be successfully introduced in the discontinuous Galerkin formulation.

discontinuity factors

finite element method

neutron diffusion equation


Antoni Vidal-Ferràndiz

Polytechnic University of Valencia (UPV)

Sebastian Gonzalez-Pintor

Chalmers, Physics, Subatomic and Plasma Physics

Damian Ginestar

Polytechnic University of Valencia (UPV)

Gumersindo Verdú

Polytechnic University of Valencia (UPV)

Mohammad Asadzadeh

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Christophe Demaziere

Chalmers, Physics, Subatomic and Plasma Physics

Annals of Nuclear Energy

0306-4549 (ISSN) 1873-2100 (eISSN)

Vol. 87 Part 2 728-738

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