Mixed-dual implementations of the simplified P-n method

作者：Hebert Alain^*

来源：Annals of Nuclear Energy, 2010, 37(4): 498-511.

DOI：10.1016/j.anucene.2010.01.006

We present implementations of the Raviart-Thomas finite element method for solving the simplified P-n 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 Rayiart-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.

• 出版日期2010-4