Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1729873 | Annals of Nuclear Energy | 2008 | 11 Pages |
Abstract
A classical approach to solve the neutron transport equation is to apply the spherical harmonics method obtaining a finite approximation known as the PLPL equations. In this work, the derivation of the PLPL equations for multi-dimensional geometries is reviewed and a nodal collocation method is developed to discretize these equations on a rectangular mesh based on the expansion of the neutronic fluxes in terms of orthogonal Legendre polynomials. The performance of the method and the dominant transport Lambda Modes are obtained for a homogeneous 2D problem, a heterogeneous 2D anisotropic scattering problem, a heterogeneous 2D problem and a benchmark problem corresponding to a MOX fuel reactor core.
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Authors
M. Capilla, C.F. Talavera, D. Ginestar, G. Verdú,