Abstract
A discrete ordinates method for a three-dimensional first-order neutron transport equation based on unstructured-meshes that avoids the singularity of the second-order neutron transport equation in void regions was derived. The finite element variation equation was obtained using the least-squares method. A three-dimensional transport calculation code was developed. Both the triangular-z and the tetrahedron elements were included. The numerical results of some benchmark problems demonstrated that this method can solve neutron transport problems in unstructured-meshes very well. For most problems, the error of the eigenvalue and the angular flux is less than 0.3% and 3.0% respectively.
| Original language | English |
|---|---|
| Pages (from-to) | 179-182 |
| Number of pages | 4 |
| Journal | Frontiers of Energy and Power Engineering in China |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2008 |
Keywords
- Discrete ordinates method
- Finite element
- Least-squares
- Unstructured-mesh
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