Abstract
The spherical harmonics (PN) method is applied to a second order Self-Adjoint Angular Flux (SAAF) neutron transport equation in the two-dimensional cylindrical coordinates. The spherical harmonics functions are used to expand the angular flux. A set of differential equations about the spatial variables is derived. The spatial variables are discretized by means of the finite element method. A computational code for multi-group neutron transport equation named TEPFEM-C is developed based on the present model. The numerical results of some benchmark problems demonstrate that this method can give high precision results and avoid the ray effect very well.
| Original language | English |
|---|---|
| Pages (from-to) | 19-23 |
| Number of pages | 5 |
| Journal | Hedongli Gongcheng/Nuclear Power Engineering |
| Volume | 29 |
| Issue number | 4 |
| State | Published - Aug 2008 |
Keywords
- Cylindrical coordinates
- Finite element
- Neutron transport equation
- Spherical harmonics function
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