Article ID Journal Published Year Pages File Type
1729546 Annals of Nuclear Energy 2010 14 Pages PDF
Abstract

We present implementations of the Raviart–Thomas finite element method for solving the simplified PnPn approximation of the transport equation in 3-D geometries. This method can be applied to the full-core simulation of nuclear reactors with a regular Cartesian or hexagonal mesh. The Raviart–Thomas and Raviart–Thomas–Schneider methods are assuming a domain with Cartesian and hexagonal meshes, respectively. The Raviart–Thomas–Schneider method is based on a dual variational formulation defined over lozenge elements with a Piola transformation of the polynomial basis. An efficient ADI numerical technique was set up to solve the resulting matrix system. Validation results are given for selected benchmarks in 2- and 3-D geometry.

Related Topics
Physical Sciences and Engineering Energy Energy Engineering and Power Technology
Authors
,