Research Article
Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method
Table 2
2D homogeneous reactor results.
| | | Structured mesh | Unstructured mesh | | Mesh length (cm) | 10 | 5 | 2 | 10 | 5 | 2 |
| | Number of cells | 72 | 288 | 1620 | 234 | 666 | 4054 | | Computational time (s) | 0.38 | 0.85 | 4.11 | 0.74 | 1.52 | 10.41 | | Eigenvalue-1 error (pcm) | 139.903827 | 35.083823 | 5.733821 | 29.653822 | 12.923822 | 2.053821 | | Eigenvalue-2 error (pcm) | 309.789649 | 77.398527 | 14.010938 | 117.773860 | 38.609075 | 6.124990 | | Eigenvalue-3 error (pcm) | 1207.774879 | 246.016129 | 47.219525 | 437.256280 | 179.905306 | 18.743235 | | Eigenvalue-4 error (pcm) | 1587.045813 | 462.009487 | 74.560259 | 221.291968 | 128.800577 | 20.948371 | | Eigenvalue-5 error (pcm) | 1948.227429 | 492.735800 | 80.710670 | 436.132079 | 185.870476 | 29.279108 |
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