Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1729546 | Annals of Nuclear Energy | 2010 | 14 Pages |
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
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Authors
Alain Hébert,