Research Article

Development and Validation of a Three-Dimensional Diffusion Code Based on a High Order Nodal Expansion Method for Hexagonal- Geometry

Table 6

Relative power error of the HNHEX power distribution solution to DIF3D reference solution for three-dimensional VVER-440 problem (unit: %).

Assembly identityAxial layer
1 (bottom)2345678910 (top)

1−0.96 −0.74 −0.63 −0.33 0.23 0.00 0.00 0.00 0.00 0.00
20.46 0.69 0.85 1.10 1.52 2.15 2.61 2.89 2.92 2.84
3−0.52 −0.27 −0.12 0.04 0.31 0.79 1.03 1.14 1.26 1.12
4−0.36 −0.10 0.03 0.17 0.41 0.82 1.09 1.12 1.23 1.10
50.31 0.54 0.69 0.84 1.07 1.54 1.71 1.85 1.93 1.82
60.12 0.36 0.48 0.71 1.08 1.46 1.68 2.10 2.07 2.01
7−1.08 −0.82 −0.76 −0.50 −0.04 0.00 0.00 0.00 0.00 0.00
8−1.25 −1.00 −0.91 −0.73 −0.48 −0.27 −0.18 0.15 0.15 0.03
9−1.62 −1.27 −1.23 −1.14 −1.03 −0.82 −0.86 −0.72 −0.59 −0.85
10−0.57 −0.21 −0.19 −0.14 −0.06 0.08 0.06 0.14 0.26 0.00
11−0.50 −0.25 −0.10 0.08 0.36 0.90 1.17 1.30 1.40 1.27
120.48 0.72 0.87 1.01 1.27 1.68 1.97 1.99 2.11 1.96
13−0.69 −0.44 −0.30 −0.17 0.07 0.47 0.71 0.76 0.87 0.71
14−0.83 −0.59 −0.45 −0.29 −0.05 0.42 0.57 0.73 0.80 0.69
15−0.94 −0.70 −0.59 −0.37 −0.04 0.27 0.51 0.84 0.83 0.72
16−0.16 0.07 0.17 0.36 0.65 0.93 1.10 1.39 1.37 1.27
170.01 0.31 0.38 0.48 0.63 0.91 0.87 1.05 1.14 0.93
18−1.06 −0.66 −0.64 −0.58 −0.49 −0.33 −0.36 −0.26 −0.11 −0.43
19−2.81 −2.52 −2.50 −2.46 −2.38 −2.27 −2.35 −2.22 −2.11 −2.32
20−0.66 −0.41 −1.11 −0.15 0.09 0.48 0.71 0.66 0.85 0.70
210.12 0.35 0.50 0.62 0.85 1.23 1.40 1.48 1.56 1.45
22−0.11 0.10 0.24 0.37 0.56 0.92 0.98 1.13 1.19 1.07
23−1.27 −1.05 −0.93 −0.81 −0.64 −0.30 −0.28 −0.13 −0.08 −0.23
24−1.40 −1.15 −1.06 −0.97 −0.85 −0.59 −0.60 −0.50 −0.42 −0.61
25−1.68 −1.33 −1.30 −1.25 −1.15 −0.98 −1.01 −0.91 −0.79 −1.06
26−2.11 −1.77 −1.76 −1.72 −1.64 −1.53 −1.59 −1.48 −1.37 −1.62
27−1.34 −1.15 −1.00 −0.90 −0.70 −0.35 −0.19 −0.18 −0.11 −0.21
28−0.34 −0.14 −0.01 0.08 0.24 0.53 0.61 0.67 0.71 0.57
29−0.38 −0.16 −0.06 0.01 0.14 0.36 0.42 0.46 0.51 0.35
300.14 0.44 0.50 0.55 0.65 0.81 0.83 0.88 0.95 0.72
31−1.90 −1.55 −1.55 −1.50 −1.43 −1.32 −1.35 −1.27 −1.17 −1.44
32−1.48 −1.25 −1.16 −1.10 −0.96 −0.76 −0.68 −0.66 −0.61 −0.77
33−1.15 −0.88 −0.83 −0.77 −0.67 −0.52 −0.52 −0.44 −0.40 −0.61
34−1.68 −1.32 −1.31 −1.27 −1.19 −1.08 −1.07 −1.01 −0.92 −1.22
35−3.72 −2.66 −2.66 −2.62 −2.55 −2.46 −2.56 −2.40 −2.32 −2.54
36−0.36 −0.01 0.00 0.04 0.12 0.22 0.21 0.29 0.35 0.08
37−2.10 −1.76 −1.77 −1.73 −1.66 −1.59 −1.66 −1.54 −1.47 −1.71