Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2004, Vol. 15 ›› Issue (6): 335

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Spherical harmonics method for neutron transport equation based on unstructured-meshes

CAO Liang-Zhi, WU Hong-Chun   

  1. School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049
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CAO Liang-Zhi, WU Hong-Chun. Spherical harmonics method for neutron transport equation based on unstructured-meshes.Nuclear Science and Techniques, 2004, 15(6): 335

Abstract: Based on a new second-order neutron transport equation, self-adjoint angular flux (SAAF) equation, the spherical harmonics (PN) method for neutron transport equation on unstructured-meshes is derived. The spherical harmonics function is used to expand the angular flux. A set of differential equations about the spatial variable, which are coupled with each other, can be obtained. They are solved iteratively by using the finite element method on unstructured- meshes. A two-dimension transport calculation program is coded according to the model. The numerical results of some benchmark problems demonstrate that this method can give high precision results and avoid the ray effect very well.

Key words: Neutron transport equation, Spherical harmonics method, Finite element method, Unstructured-meshes