Science and Technology of Nuclear Installations

Research Article

Computational Methods for Multidimensional Neutron Diffusion Problems

Table 2

Errors in the calculation of the effective multiplication factor for the homogeneous benchmark; the analytical value is k = 0.90145. Relative errors are expressed in pcm for the various models.
Nodes FD N BEM BEM BEM BEM
0 10 241 10 241 10 2401 20 240
4 9 2 9 1 8 9 0 7 0 4 9 4 4 9 5 4 9 8
8 2 3 5 1 2 6 5 4 2 1 2 6 3 3
1 2 1 0 3 0 1 2 8 3 9 3 5
1 6 5 7 0 7 8 7 1 4 9 0
2 0 3 7 0 5 5 4 1 6 1 0 2
2 4 2 5 0 4 2 6 1 7 1 1 2
2 8 1 8 0 3 4 9 1 8 1 1 2
3 2 1 4 0 2 9 9 1 8 1 2 2
3 6 1 1 0 2 6 4 1 8 1 2 2
4 0 8 0 2 3 9 1 8 1 2 3