Science and Technology of Nuclear Installations / 2013 / Article / Tab 2 / Research Article
Unstructured Grids and the Multigroup Neutron Diffusion Equation Table 2 Results of the 2D IAEA PWR Benchmark problem obtained with the milonga code for the eighty proposed combinations of symmetry, meshing algorithm, basic shape, discretization scheme, and characteristic element/cell length. The reference solution is
, which corresponds to
.
Case no. Symmetry Mesh algorithm Basic shape Solution method
(cm)
(pcm)
(—)Total unknowns Outer iter. Linear iter. Inner iter. Residual norm Relative error Error estimate Memory (Mb) Page faults 1 1/4 Delaunay
Volumes 4.0
11.45 8264 3 32 1033
34 9470 2 1/4 Delaunay
Volumes 3.0 8.5 11.35 15740 3 32 1967
48 13401 3 1/4 Delaunay
Volumes 2.0 19.7 11.24 31188 3 32 3898
76 21932 4 1/4 Delaunay
Volumes 1.0 15.3 11.23 127476 3 32 15934
273 81886 5 1/4 Delaunay
Volumes 0.5 18.7 11.19 510676 3 32 63834
1148 352261 6 1/4 Delaunay
Elements 4.0 17.3 11.00 4308 3 32 538
31 8794 7 1/4 Delaunay
Elements 3.0 11.7 11.07 8108 3 32 1013
47 12946 8 1/4 Delaunay
Elements 2.0 8.4 11.12 15936 3 32 1992
73 21347 9 1/4 Delaunay
Elements 1.0 6.2 11.16 64478 3 32 8059
262 77105 10 1/4 Delaunay
Elements 0.5 5.8 11.17 256700 3 32 32087
1091 331969 11 1/4 Delaunay □ Volumes 4.0 5.3 11.49 5042 3 32 630
28 8007 12 1/4 Delaunay □ Volumes 3.0 34.6 11.33 8560 3 32 1070
39 10895 13 1/4 Delaunay □ Volumes 2.0 30.8 11.31 15576 3 32 1947
54 15645 14 1/4 Delaunay □ Volumes 1.0 17.7 11.22 60774 3 32 7596
167 50115 15 1/4 Delaunay □ Volumes 0.5 19.9 11.20 244936 3 32 30617
698 215678 16 1/4 Delaunay □ Elements 4.0 19.6 11.00 5222 3 32 652
47 13098 17 1/4 Delaunay □ Elements 3.0 12.3 11.07 8810 3 32 1101
69 18598 18 1/4 Delaunay □ Elements 2.0 9.0 11.12 15922 3 32 1990
107 30591 19 1/4 Delaunay □ Elements 1.0 6.3 11.16 61456 3 32 7682
389 113237 20 1/4 Delaunay □ Elements 0.5 5.8 11.17 246332 3 32 30791
1676 498192 21 1/4 Delquad
Volumes 4.0
11.44 6228 3 32 778
30 8495 22 1/4 Delquad
Volumes 3.0 57.0 11.53 11820 3 32 1477
40 10879 23 1/4 Delquad
Volumes 2.0 45.9 11.03 24100 3 32 3012
62 17715 24 1/4 Delquad
Volumes 1.0 51.2 11.04 96400 3 32 12050
207 61714 25 1/4 Delquad
Volumes 0.5 52.8 11.06 385600 3 32 48200
838 255735 26 1/4 Delquad
Elements 4.0 22.0 10.93 3288 3 32 411
30 8495 27 1/4 Delquad
Elements 3.0 14.0 11.04 6148 3 32 768
39 11000 28 1/4 Delquad
Elements 2.0 8.2 11.10 12392 3 32 1549
61 17067 29 1/4 Delquad
Elements 1.0 6.3 11.15 48882 3 32 6110
197 58046 30 1/4 Delquad
Elements 0.5 5.8 11.16 194162 3 32 24270
790 238769 31 1/4 Delquad □ Volumes 4.0
11.74 3132 3 32 391
26 7322 32 1/4 Delquad □ Volumes 3.0
11.51 5922 3 32 740
31 8779 33 1/4 Delquad □ Volumes 2.0
11.39 12050 3 32 1506
44 12239 34 1/4 Delquad □ Volumes 1.0
11.26 48200 3 32 6025
122 36094 35 1/4 Delquad □ Volumes 0.5
11.23 192800 3 32 24100
464 140228 36 1/4 Delquad □ Elements 4.0 22.4 10.93 3294 3 32 411
35 9852 37 1/4 Delquad □ Elements 3.0 14.1 11.04 6144 3 32 768
51 14018 38 1/4 Delquad □ Elements 2.0 9.2 11.11 12392 3 32 1549
81 22526 39 1/4 Delquad □ Elements 1.0 6.5 11.15 48882 3 32 6110
276 78431 40 1/4 Delquad □ Elements 0.5 5.9 11.17 194162 3 32 24270
1104 318967 41 1/8 Delaunay
Volumes 4.0
11.39 4228 3 32 528
35 9630 42 1/8 Delaunay
Volumes 3.0 5.0 11.32 7712 3 32 964
42 11578 43 1/8 Delaunay
Volumes 2.0 17.7 11.20 15776 3 32 1972
55 15436 44 1/8 Delaunay
Volumes 1.0 14.2 11.18 63902 3 32 7987
160 46691 45 1/8 Delaunay
Volumes 0.5 17.6 11.15 254612 3 32 31826
555 168526 46 1/8 Delaunay
Elements 4.0 18.3 10.96 2252 3 32 281
35 9589 47 1/8 Delaunay
Elements 3.0 11.9 11.04 4040 2 24 505
41 11437 48 1/8 Delaunay
Elements 2.0 8.5 11.08 8156 3 32 1019
55 15053 49 1/8 Delaunay
Elements 1.0 6.3 11.12 32480 3 32 4060
151 43671 50 1/8 Delaunay
Elements 0.5 5.8 11.13 128358 3 32 16044
527 157581 51 1/8 Delaunay □ Volumes 4.0 3.7 11.44 2380 2 24 297
53 14173 52 1/8 Delaunay □ Volumes 3.0 21.8 11.20 4194 3 32 524
36 10034 53 1/8 Delaunay □ Volumes 2.0 34.5 11.10 7960 3 32 995
47 12879 54 1/8 Delaunay □ Volumes 1.0 16.5 11.17 30652 3 32 3831
100 28851 55 1/8 Delaunay □ Volumes 0.5 19.1 11.17 122066 2 24 15258
343 103825 56 1/8 Delaunay □ Elements 4.0 17.5 10.97 2526 3 32 315
60 16159 57 1/8 Delaunay □ Elements 3.0 11.4 11.04 4386 3 32 548
50 13768 58 1/8 Delaunay □ Elements 2.0 9.0 11.08 8234 3 32 1029
73 20094 59 1/8 Delaunay □ Elements 1.0 6.2 11.12 31186 2 24 3898
208 59589 60 1/8 Delaunay □ Elements 0.5 5.8 11.13 123122 2 24 15390
807 236670 61 1/8 Delquad
Volumes 4.0
11.68 3224 3 32 403
43 11784 62 1/8 Delquad
Volumes 3.0 36.9 11.50 6000 3 32 750
50 13502 63 1/8 Delquad
Volumes 2.0 31.2 11.04 12316 3 32 1539
60 16395 64 1/8 Delquad
Volumes 1.0 44.0 10.94 48714 3 32 6089
118 34441 65 1/8 Delquad
Volumes 0.5 53.4 10.81 193980 3 32 24247
423 126768 66 1/8 Delquad
Elements 4.0 24.0 10.90 1750 3 32 218
43 11786 67 1/8 Delquad
Elements 3.0 15.0 11.00 3184 3 32 398
50 13509 68 1/8 Delquad
Elements 2.0 8.9 11.06 6426 3 32 803
59 16047 69 1/8 Delquad
Elements 1.0 6.4 11.11 24886 3 32 3110
113 32788 70 1/8 Delquad
Elements 0.5 5.9 11.13 98052 2 24 12256
398 118153 71 1/8 Delquad □ Volumes 4.0
11.72 1650 3 32 206
36 9907 72 1/8 Delquad □ Volumes 3.0
11.46 3058 3 32 382
34 9349 73 1/8 Delquad □ Volumes 2.0
11.36 6228 2 24 778
40 10930 74 1/8 Delquad □ Volumes 1.0
11.23 24536 2 24 3067
78 22716 76 1/8 Delquad □ Elements 4.0 23.7 10.90 1752 3 32 219
41 11213 77 1/8 Delquad □ Elements 3.0 14.5 11.01 3184 3 32 398
43 11811 78 1/8 Delquad □ Elements 2.0 9.4 11.07 6426 3 32 803
60 16220 79 1/8 Delquad □ Elements 1.0 6.5 11.11 24874 3 32 3109
156 44000 80 1/8 Delquad □ Elements 0.5 5.9 11.13 98042 2 24 12255
567 162168