4.6 Article

Analysis of the PHWR benchmark transient using a high-order spherical harmonics-nodal collocation method and treatment of rod cusping effect

期刊

PROGRESS IN NUCLEAR ENERGY
卷 135, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.pnucene.2021.103701

关键词

Time-dependent neutron transport equation; Multidimensional P-L equations; Spherical harmonics method; Nodal collocation method; Rod cusping effect

资金

  1. Spanish Agencia Estatal de Investigaci?n [ENE201789029PAR]

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This study developed and validated node homogenization methods based on one and three-dimensional node equivalent problems to improve the treatment of rod cusping effect in volume weighted method. The numerical implementation of these techniques in a numerical approach based on general spherical harmonics showed the validity and convergence of P-1 and P-3 approximations in AECL-7236 PHWR benchmark transient, indicating the method's ability to provide accurate results for relative power and scalar flux with coarse spatial mesh combined with advanced homogenization techniques.
We develop and validate node homogenization methods, based on one and three-dimensional node equivalent problems, that improve the volume weighted method for the treatment of the rod cusping effect. The numerical implementation of these techniques in a numerical approach based on general spherical harmonics, nodal collocation method, for arbitrary odd order L, and fully implicit time discretization, is verified on the AECL-7236 PHWR benchmark transient, showing the validity and convergence of the P-1 and P-3 approximations and the ability of the method to give accurate results for the relative power and scalar flux when a coarse spatial mesh combined with advanced homogenization techniques is used.

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