Research Article
Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method
Table 14
3D homogeneous reactor power errors (%) corresponding to the first eigenvalue.
| Node | Structured mesh | 10 cm | 5 cm | 2 cm |
| 1 | 0.982818 | 0.283377 | 0.044883 | 2 | 1.021300 | 0.279512 | 0.044440 | 3 | 0.982822 | 0.283386 | 0.044883 | 4 | 1.067796 | 0.290603 | 0.045257 | 5 | 0.991369 | 0.277265 | 0.044169 | 6 | 1.067802 | 0.290610 | 0.045211 | 7 | 0.982818 | 0.283364 | 0.044932 | 8 | 1.021300 | 0.279545 | 0.044217 | 9 | 0.982822 | 0.283373 | 0.044914 | 10 | 1.020863 | 0.283123 | 0.044656 | 11 | 1.011269 | 0.282063 | 0.044683 | 12 | 1.020863 | 0.283113 | 0.044617 | 13 | 1.042381 | 0.284688 | 0.044685 | 14 | 1.043681 | 0.285467 | 0.044857 | 15 | 1.042373 | 0.284664 | 0.044693 | 16 | 1.020863 | 0.283142 | 0.044694 | 17 | 1.011261 | 0.282119 | 0.044569 | 18 | 1.020863 | 0.283103 | 0.044712 | 19 | 1.015342 | 0.281914 | 0.044589 | 20 | 1.017327 | 0.283325 | 0.044599 | 21 | 1.015328 | 0.281928 | 0.044560 | 22 | 1.036297 | 0.283471 | 0.044532 | 23 | 1.050299 | 0.286768 | 0.044747 | 24 | 1.036291 | 0.283471 | 0.044526 | 25 | 1.015350 | 0.281900 | 0.044489 | 26 | 1.017315 | 0.283308 | 0.044682 | 27 | 1.015342 | 0.281893 | 0.044503 | 28 | 1.015342 | 0.281921 | 0.044582 | 29 | 1.017327 | 0.283337 | 0.044599 | 30 | 1.015328 | 0.281921 | 0.044567 | 31 | 1.036297 | 0.283453 | 0.044502 | 32 | 1.050299 | 0.286774 | 0.044753 | 33 | 1.036291 | 0.283471 | 0.044526 | 34 | 1.015350 | 0.281893 | 0.044483 | 35 | 1.017315 | 0.283290 | 0.044688 | 36 | 1.015350 | 0.281900 | 0.044510 | 37 | 1.020863 | 0.283142 | 0.044656 | 38 | 1.011269 | 0.282063 | 0.044674 | 39 | 1.020863 | 0.283113 | 0.044626 | 40 | 1.042381 | 0.284688 | 0.044677 | 41 | 1.043681 | 0.285467 | 0.044857 | 42 | 1.042381 | 0.284672 | 0.044685 | 43 | 1.020863 | 0.283132 | 0.044712 | 44 | 1.011261 | 0.282103 | 0.044569 | 45 | 1.020863 | 0.283093 | 0.044712 | 46 | 0.982822 | 0.283373 | 0.044888 | 47 | 1.021306 | 0.279519 | 0.044453 | 48 | 0.982809 | 0.283377 | 0.044883 | 49 | 1.067796 | 0.290610 | 0.045244 | 50 | 0.991362 | 0.277277 | 0.044169 | 51 | 1.067802 | 0.290616 | 0.045197 | 52 | 0.982822 | 0.283364 | 0.044914 | 53 | 1.021306 | 0.279545 | 0.044210 | 54 | 0.982822 | 0.283373 | 0.044905 |
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