Zhan et al. (2006): three nylon nets as planar panels at 0°, 30° and 60° (L8, tabulated) and as a rigid cylinder (S2, Table 7), with the wake the cylinder casts (W9) and the solver continuity across a wake rebuild on the same cylinder (S6). Sₙ = 2d/Δl at K = 1 is asserted; K = 1.16 is reported only (lead ruling R2). The towed-panel checks through the SimObject are on Validation: towed panel through the SimObject (S1).
Generated 2026-10-03 from commit 87e60a3 2026-10-03; tests run 2026-10-03T09:10:34.294 (main entry) and 2026-10-03T09:11:16.576 (VALIDATION entry).
Tests
Status from the gtest XML of the last run. A DISABLED_ test fails against the current laws; its numbers are in the tables below, and it stays disabled until the owner decides the issue.
Conventions: error = model/measured - 1 (in %) for loads and coefficients, model - measured for ratios and localCd; ratio = measured/model; margin = tolerance - |error| (negative = fails).
Setup from zhan2006_nets.csv: panel area 0.9100 m^2, rho 1000 (plan assumption), nu 1.0080e-06 (mean v d / Re). Sn = K s, twine = d. Asserted: K = 1, induction on, v >= 0.50 m/s; the 0.25 m/s rows and K = 1.16 are reported only.
L8 absolute R0, induction on (default law), K = 1, all speeds (v >= 0.5: asserted)
asserted; 12 rows, 0 of 12 outside the tolerance.
Chart: L8 absolute R0, induction on (default law), K = 1, all speeds (v >= 0.5: asserted); L8 absolute R0, induction off, K = 1, all speeds (v >= 0.5: reported); L8 absolute R0, induction on, K = 1.16, all speeds (v >= 0.5: reported); L8 absolute R0, induction off, K = 1.16, all speeds (v >= 0.5: reported).
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R0 [N]
11.77
9.603
-18.411 %
±20.000 %
1.589 %
within
s 0.223 v 0.50 R0 [N]
38.26
33.47
-12.519 %
±20.000 %
7.481 %
within
s 0.223 v 0.75 R0 [N]
82.89
70.66
-14.760 %
±20.000 %
5.240 %
within
s 0.223 v 1.00 R0 [N]
145.7
123
-15.570 %
±20.000 %
4.430 %
within
s 0.128 v 0.25 R0 [N]
6.38
5.545
-13.091 %
±20.000 %
6.909 %
within
s 0.128 v 0.50 R0 [N]
20.11
20.2
0.424 %
±20.000 %
19.576 %
within
s 0.128 v 0.75 R0 [N]
43.65
41.92
-3.958 %
±20.000 %
16.042 %
within
s 0.128 v 1.00 R0 [N]
76.52
70.37
-8.036 %
±20.000 %
11.964 %
within
s 0.215 v 0.25 R0 [N]
11.28
10.09
-10.532 %
±20.000 %
9.468 %
within
s 0.215 v 0.50 R0 [N]
38.26
37.02
-3.243 %
±20.000 %
16.757 %
within
s 0.215 v 0.75 R0 [N]
78.48
77
-1.887 %
±20.000 %
18.113 %
within
s 0.215 v 1.00 R0 [N]
138.8
129.1
-6.986 %
±20.000 %
13.014 %
within
L8 absolute R0, induction off, K = 1, all speeds (v >= 0.5: reported)
reported; 12 rows, 0 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R0 [N]
11.77
10.92
-7.249 %
±20.000 %
12.751 %
within
s 0.223 v 0.50 R0 [N]
38.26
38.04
-0.574 %
±20.000 %
19.426 %
within
s 0.223 v 0.75 R0 [N]
82.89
80.77
-2.553 %
±20.000 %
17.447 %
within
s 0.223 v 1.00 R0 [N]
145.7
141.4
-2.906 %
±20.000 %
17.094 %
within
s 0.128 v 0.25 R0 [N]
6.38
5.787
-9.298 %
±20.000 %
10.702 %
within
s 0.128 v 0.50 R0 [N]
20.11
21.03
4.579 %
±20.000 %
15.421 %
within
s 0.128 v 0.75 R0 [N]
43.65
43.64
-0.033 %
±20.000 %
19.967 %
within
s 0.128 v 1.00 R0 [N]
76.52
73.28
-4.235 %
±20.000 %
15.765 %
within
s 0.215 v 0.25 R0 [N]
11.28
11.46
1.636 %
±20.000 %
18.364 %
within
s 0.215 v 0.50 R0 [N]
38.26
41.78
9.204 %
±20.000 %
10.796 %
within
s 0.215 v 0.75 R0 [N]
78.48
86.74
10.530 %
±20.000 %
9.470 %
within
s 0.215 v 1.00 R0 [N]
138.8
145.6
4.886 %
±20.000 %
15.114 %
within
L8 absolute R0, induction on, K = 1.16, all speeds (v >= 0.5: reported)
reported; 12 rows, 0 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R0 [N]
11.77
11.49
-2.365 %
±20.000 %
17.635 %
within
s 0.223 v 0.50 R0 [N]
38.26
40.04
4.661 %
±20.000 %
15.339 %
within
s 0.223 v 0.75 R0 [N]
82.89
84.72
2.210 %
±20.000 %
17.790 %
within
s 0.223 v 1.00 R0 [N]
145.7
147.8
1.478 %
±20.000 %
18.522 %
within
s 0.128 v 0.25 R0 [N]
6.38
6.529
2.332 %
±20.000 %
17.668 %
within
s 0.128 v 0.50 R0 [N]
20.11
23.75
18.090 %
±20.000 %
1.910 %
within
s 0.128 v 0.75 R0 [N]
43.65
49.28
12.903 %
±20.000 %
7.097 %
within
s 0.128 v 1.00 R0 [N]
76.52
82.75
8.138 %
±20.000 %
11.862 %
within
s 0.215 v 0.25 R0 [N]
11.28
12.09
7.167 %
±20.000 %
12.833 %
within
s 0.215 v 0.50 R0 [N]
38.26
44.23
15.594 %
±20.000 %
4.406 %
within
s 0.215 v 0.75 R0 [N]
78.48
91.92
17.119 %
±20.000 %
2.881 %
within
s 0.215 v 1.00 R0 [N]
138.8
154.2
11.068 %
±20.000 %
8.932 %
within
L8 absolute R0, induction off, K = 1.16, all speeds (v >= 0.5: reported)
reported; 12 rows, 8 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R0 [N]
11.77
13.51
14.797 %
±20.000 %
5.203 %
within
s 0.223 v 0.50 R0 [N]
38.26
47.11
23.122 %
±20.000 %
-3.122 %
outside
s 0.223 v 0.75 R0 [N]
82.89
100.5
21.187 %
±20.000 %
-1.187 %
outside
s 0.223 v 1.00 R0 [N]
145.7
176.6
21.233 %
±20.000 %
-1.233 %
outside
s 0.128 v 0.25 R0 [N]
6.38
6.948
8.896 %
±20.000 %
11.104 %
within
s 0.128 v 0.50 R0 [N]
20.11
25.19
25.269 %
±20.000 %
-5.269 %
outside
s 0.128 v 0.75 R0 [N]
43.65
52.24
19.690 %
±20.000 %
0.310 %
within
s 0.128 v 1.00 R0 [N]
76.52
87.79
14.722 %
±20.000 %
5.278 %
within
s 0.215 v 0.25 R0 [N]
11.28
14.21
25.972 %
±20.000 %
-5.972 %
outside
s 0.215 v 0.50 R0 [N]
38.26
51.56
34.763 %
±20.000 %
-14.763 %
outside
s 0.215 v 0.75 R0 [N]
78.48
106.9
36.270 %
±20.000 %
-16.270 %
outside
s 0.215 v 1.00 R0 [N]
138.8
179.7
29.432 %
±20.000 %
-9.432 %
outside
L8 R30/R0 and R60/R0, induction on (default law), K = 1, all speeds (v >= 0.5: DISABLED_, fails)
DISABLED test; 24 rows, 8 of 24 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R30/R0
0.8088
0.8054
-0.003
±0.1
0.097
within
s 0.223 v 0.25 R60/R0
0.5004
0.395
-0.105
±0.1
-0.005
outside
s 0.223 v 0.50 R30/R0
0.8231
0.8054
-0.018
±0.1
0.082
within
s 0.223 v 0.50 R60/R0
0.5052
0.395
-0.11
±0.1
-0.01
outside
s 0.223 v 0.75 R30/R0
0.7669
0.8054
0.038
±0.1
0.062
within
s 0.223 v 0.75 R60/R0
0.5445
0.395
-0.149
±0.1
-0.049
outside
s 0.223 v 1.00 R30/R0
0.8249
0.8054
-0.019
±0.1
0.081
within
s 0.223 v 1.00 R60/R0
0.5791
0.395
-0.184
±0.1
-0.084
outside
s 0.128 v 0.25 R30/R0
1.307
0.8054
-0.502
±0.1
-0.402
outside
s 0.128 v 0.25 R60/R0
0.5376
0.395
-0.143
±0.1
-0.043
outside
s 0.128 v 0.50 R30/R0
0.7708
0.8054
0.035
±0.1
0.065
within
s 0.128 v 0.50 R60/R0
0.4048
0.395
-0.01
±0.1
0.09
within
s 0.128 v 0.75 R30/R0
0.6742
0.8054
0.131
±0.1
-0.031
outside
s 0.128 v 0.75 R60/R0
0.4541
0.395
-0.059
±0.1
0.041
within
s 0.128 v 1.00 R30/R0
0.7756
0.8054
0.03
±0.1
0.07
within
s 0.128 v 1.00 R60/R0
0.5141
0.395
-0.119
±0.1
-0.019
outside
s 0.215 v 0.25 R30/R0
0.8697
0.8054
-0.064
±0.1
0.036
within
s 0.215 v 0.25 R60/R0
0.3652
0.395
0.03
±0.1
0.07
within
s 0.215 v 0.50 R30/R0
0.759
0.8054
0.046
±0.1
0.054
within
s 0.215 v 0.50 R60/R0
0.3769
0.395
0.018
±0.1
0.082
within
s 0.215 v 0.75 R30/R0
0.7313
0.8054
0.074
±0.1
0.026
within
s 0.215 v 0.75 R60/R0
0.4376
0.395
-0.043
±0.1
0.057
within
s 0.215 v 1.00 R30/R0
0.8092
0.8054
-0.004
±0.1
0.096
within
s 0.215 v 1.00 R60/R0
0.4771
0.395
-0.082
±0.1
0.018
within
L8 R30/R0 and R60/R0, induction off, K = 1, all speeds (v >= 0.5: reported)
reported; 24 rows, 8 of 24 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R30/R0
0.8088
0.8054
-0.003
±0.1
0.097
within
s 0.223 v 0.25 R60/R0
0.5004
0.395
-0.105
±0.1
-0.005
outside
s 0.223 v 0.50 R30/R0
0.8231
0.8054
-0.018
±0.1
0.082
within
s 0.223 v 0.50 R60/R0
0.5052
0.395
-0.11
±0.1
-0.01
outside
s 0.223 v 0.75 R30/R0
0.7669
0.8054
0.038
±0.1
0.062
within
s 0.223 v 0.75 R60/R0
0.5445
0.395
-0.149
±0.1
-0.049
outside
s 0.223 v 1.00 R30/R0
0.8249
0.8054
-0.019
±0.1
0.081
within
s 0.223 v 1.00 R60/R0
0.5791
0.395
-0.184
±0.1
-0.084
outside
s 0.128 v 0.25 R30/R0
1.307
0.8054
-0.502
±0.1
-0.402
outside
s 0.128 v 0.25 R60/R0
0.5376
0.395
-0.143
±0.1
-0.043
outside
s 0.128 v 0.50 R30/R0
0.7708
0.8054
0.035
±0.1
0.065
within
s 0.128 v 0.50 R60/R0
0.4048
0.395
-0.01
±0.1
0.09
within
s 0.128 v 0.75 R30/R0
0.6742
0.8054
0.131
±0.1
-0.031
outside
s 0.128 v 0.75 R60/R0
0.4541
0.395
-0.059
±0.1
0.041
within
s 0.128 v 1.00 R30/R0
0.7756
0.8054
0.03
±0.1
0.07
within
s 0.128 v 1.00 R60/R0
0.5141
0.395
-0.119
±0.1
-0.019
outside
s 0.215 v 0.25 R30/R0
0.8697
0.8054
-0.064
±0.1
0.036
within
s 0.215 v 0.25 R60/R0
0.3652
0.395
0.03
±0.1
0.07
within
s 0.215 v 0.50 R30/R0
0.759
0.8054
0.046
±0.1
0.054
within
s 0.215 v 0.50 R60/R0
0.3769
0.395
0.018
±0.1
0.082
within
s 0.215 v 0.75 R30/R0
0.7313
0.8054
0.074
±0.1
0.026
within
s 0.215 v 0.75 R60/R0
0.4376
0.395
-0.043
±0.1
0.057
within
s 0.215 v 1.00 R30/R0
0.8092
0.8054
-0.004
±0.1
0.096
within
s 0.215 v 1.00 R60/R0
0.4771
0.395
-0.082
±0.1
0.018
within
L8 R30/R0 and R60/R0, induction on, K = 1.16, all speeds (v >= 0.5: reported)
reported; 24 rows, 8 of 24 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R30/R0
0.8088
0.8054
-0.003
±0.1
0.097
within
s 0.223 v 0.25 R60/R0
0.5004
0.395
-0.105
±0.1
-0.005
outside
s 0.223 v 0.50 R30/R0
0.8231
0.8054
-0.018
±0.1
0.082
within
s 0.223 v 0.50 R60/R0
0.5052
0.395
-0.11
±0.1
-0.01
outside
s 0.223 v 0.75 R30/R0
0.7669
0.8054
0.038
±0.1
0.062
within
s 0.223 v 0.75 R60/R0
0.5445
0.395
-0.149
±0.1
-0.049
outside
s 0.223 v 1.00 R30/R0
0.8249
0.8054
-0.019
±0.1
0.081
within
s 0.223 v 1.00 R60/R0
0.5791
0.395
-0.184
±0.1
-0.084
outside
s 0.128 v 0.25 R30/R0
1.307
0.8054
-0.502
±0.1
-0.402
outside
s 0.128 v 0.25 R60/R0
0.5376
0.395
-0.143
±0.1
-0.043
outside
s 0.128 v 0.50 R30/R0
0.7708
0.8054
0.035
±0.1
0.065
within
s 0.128 v 0.50 R60/R0
0.4048
0.395
-0.01
±0.1
0.09
within
s 0.128 v 0.75 R30/R0
0.6742
0.8054
0.131
±0.1
-0.031
outside
s 0.128 v 0.75 R60/R0
0.4541
0.395
-0.059
±0.1
0.041
within
s 0.128 v 1.00 R30/R0
0.7756
0.8054
0.03
±0.1
0.07
within
s 0.128 v 1.00 R60/R0
0.5141
0.395
-0.119
±0.1
-0.019
outside
s 0.215 v 0.25 R30/R0
0.8697
0.8054
-0.064
±0.1
0.036
within
s 0.215 v 0.25 R60/R0
0.3652
0.395
0.03
±0.1
0.07
within
s 0.215 v 0.50 R30/R0
0.759
0.8054
0.046
±0.1
0.054
within
s 0.215 v 0.50 R60/R0
0.3769
0.395
0.018
±0.1
0.082
within
s 0.215 v 0.75 R30/R0
0.7313
0.8054
0.074
±0.1
0.026
within
s 0.215 v 0.75 R60/R0
0.4376
0.395
-0.043
±0.1
0.057
within
s 0.215 v 1.00 R30/R0
0.8092
0.8054
-0.004
±0.1
0.096
within
s 0.215 v 1.00 R60/R0
0.4771
0.395
-0.082
±0.1
0.018
within
L8 R30/R0 and R60/R0, induction off, K = 1.16, all speeds (v >= 0.5: reported)
reported; 24 rows, 8 of 24 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 R30/R0
0.8088
0.8054
-0.003
±0.1
0.097
within
s 0.223 v 0.25 R60/R0
0.5004
0.395
-0.105
±0.1
-0.005
outside
s 0.223 v 0.50 R30/R0
0.8231
0.8054
-0.018
±0.1
0.082
within
s 0.223 v 0.50 R60/R0
0.5052
0.395
-0.11
±0.1
-0.01
outside
s 0.223 v 0.75 R30/R0
0.7669
0.8054
0.038
±0.1
0.062
within
s 0.223 v 0.75 R60/R0
0.5445
0.395
-0.149
±0.1
-0.049
outside
s 0.223 v 1.00 R30/R0
0.8249
0.8054
-0.019
±0.1
0.081
within
s 0.223 v 1.00 R60/R0
0.5791
0.395
-0.184
±0.1
-0.084
outside
s 0.128 v 0.25 R30/R0
1.307
0.8054
-0.502
±0.1
-0.402
outside
s 0.128 v 0.25 R60/R0
0.5376
0.395
-0.143
±0.1
-0.043
outside
s 0.128 v 0.50 R30/R0
0.7708
0.8054
0.035
±0.1
0.065
within
s 0.128 v 0.50 R60/R0
0.4048
0.395
-0.01
±0.1
0.09
within
s 0.128 v 0.75 R30/R0
0.6742
0.8054
0.131
±0.1
-0.031
outside
s 0.128 v 0.75 R60/R0
0.4541
0.395
-0.059
±0.1
0.041
within
s 0.128 v 1.00 R30/R0
0.7756
0.8054
0.03
±0.1
0.07
within
s 0.128 v 1.00 R60/R0
0.5141
0.395
-0.119
±0.1
-0.019
outside
s 0.215 v 0.25 R30/R0
0.8697
0.8054
-0.064
±0.1
0.036
within
s 0.215 v 0.25 R60/R0
0.3652
0.395
0.03
±0.1
0.07
within
s 0.215 v 0.50 R30/R0
0.759
0.8054
0.046
±0.1
0.054
within
s 0.215 v 0.50 R60/R0
0.3769
0.395
0.018
±0.1
0.082
within
s 0.215 v 0.75 R30/R0
0.7313
0.8054
0.074
±0.1
0.026
within
s 0.215 v 0.75 R60/R0
0.4376
0.395
-0.043
±0.1
0.057
within
s 0.215 v 1.00 R30/R0
0.8092
0.8054
-0.004
±0.1
0.096
within
s 0.215 v 1.00 R60/R0
0.4771
0.395
-0.082
±0.1
0.018
within
L8 speed trend at 0 deg, default law, K = 1, all speeds (asserted for v >= 0.5)
asserted; 12 rows, 0 of 12 outside the tolerance.
Chart: L8 speed trend at 0 deg, default law, K = 1, all speeds (asserted for v >= 0.5); L8 speed trend at 0 deg, induction off, K = 1 (reported); L8 speed trend at 0 deg, default law, K = 1.16 (reported).
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 R0(0.25)/R0(1.00)
0.08079
0.07807
-3.365 %
±10.000 %
6.635 %
within
s 0.223 R0(0.50)/R0(1.00)
0.2626
0.2721
3.613 %
±10.000 %
6.387 %
within
s 0.223 R0(0.75)/R0(1.00)
0.569
0.5744
0.959 %
±10.000 %
9.041 %
within
s 0.223 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.128 R0(0.25)/R0(1.00)
0.08338
0.07879
-5.497 %
±10.000 %
4.503 %
within
s 0.128 R0(0.50)/R0(1.00)
0.2628
0.287
9.200 %
±10.000 %
0.800 %
within
s 0.128 R0(0.75)/R0(1.00)
0.5704
0.5957
4.434 %
±10.000 %
5.566 %
within
s 0.128 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.215 R0(0.25)/R0(1.00)
0.08126
0.07816
-3.812 %
±10.000 %
6.188 %
within
s 0.215 R0(0.50)/R0(1.00)
0.2756
0.2867
4.025 %
±10.000 %
5.975 %
within
s 0.215 R0(0.75)/R0(1.00)
0.5654
0.5964
5.482 %
±10.000 %
4.518 %
within
s 0.215 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
L8 speed trend at 30 and 60 deg, default law, K = 1, all speeds (DISABLED_, fails)
DISABLED test; 24 rows, 12 of 24 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 R30(0.25)/R30(1.00)
0.07922
0.07807
-1.447 %
±10.000 %
8.553 %
within
s 0.223 R60(0.25)/R60(1.00)
0.06981
0.07807
11.836 %
±10.000 %
-1.836 %
outside
s 0.223 R30(0.50)/R30(1.00)
0.262
0.2721
3.844 %
±10.000 %
6.156 %
within
s 0.223 R60(0.50)/R60(1.00)
0.2291
0.2721
18.772 %
±10.000 %
-8.772 %
outside
s 0.223 R30(0.75)/R30(1.00)
0.529
0.5744
8.590 %
±10.000 %
1.410 %
within
s 0.223 R60(0.75)/R60(1.00)
0.5349
0.5744
7.391 %
±10.000 %
2.609 %
within
s 0.223 R30(1.00)/R30(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.223 R60(1.00)/R60(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.128 R30(0.25)/R30(1.00)
0.1405
0.07879
-43.928 %
±10.000 %
-33.928 %
outside
s 0.128 R60(0.25)/R60(1.00)
0.08719
0.07879
-9.628 %
±10.000 %
0.372 %
within
s 0.128 R30(0.50)/R30(1.00)
0.2612
0.287
9.887 %
±10.000 %
0.113 %
within
s 0.128 R60(0.50)/R60(1.00)
0.2069
0.287
38.698 %
±10.000 %
-28.698 %
outside
s 0.128 R30(0.75)/R30(1.00)
0.4959
0.5957
20.139 %
±10.000 %
-10.139 %
outside
s 0.128 R60(0.75)/R60(1.00)
0.5038
0.5957
18.245 %
±10.000 %
-8.245 %
outside
s 0.128 R30(1.00)/R30(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.128 R60(1.00)/R60(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.215 R30(0.25)/R30(1.00)
0.08734
0.07816
-10.505 %
±10.000 %
-0.505 %
outside
s 0.215 R60(0.25)/R60(1.00)
0.06222
0.07816
25.633 %
±10.000 %
-15.633 %
outside
s 0.215 R30(0.50)/R30(1.00)
0.2585
0.2867
10.897 %
±10.000 %
-0.897 %
outside
s 0.215 R60(0.50)/R60(1.00)
0.2178
0.2867
31.669 %
±10.000 %
-21.669 %
outside
s 0.215 R30(0.75)/R30(1.00)
0.511
0.5964
16.718 %
±10.000 %
-6.718 %
outside
s 0.215 R60(0.75)/R60(1.00)
0.5186
0.5964
15.002 %
±10.000 %
-5.002 %
outside
s 0.215 R30(1.00)/R30(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.215 R60(1.00)/R60(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
L8 speed trend at 0 deg, induction off, K = 1 (reported)
reported; 12 rows, 0 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 R0(0.25)/R0(1.00)
0.08079
0.07718
-4.473 %
±10.000 %
5.527 %
within
s 0.223 R0(0.50)/R0(1.00)
0.2626
0.2689
2.402 %
±10.000 %
7.598 %
within
s 0.223 R0(0.75)/R0(1.00)
0.569
0.5711
0.363 %
±10.000 %
9.637 %
within
s 0.223 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.128 R0(0.25)/R0(1.00)
0.08338
0.07897
-5.288 %
±10.000 %
4.712 %
within
s 0.128 R0(0.50)/R0(1.00)
0.2628
0.287
9.204 %
±10.000 %
0.796 %
within
s 0.128 R0(0.75)/R0(1.00)
0.5704
0.5955
4.387 %
±10.000 %
5.613 %
within
s 0.128 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.215 R0(0.25)/R0(1.00)
0.08126
0.07874
-3.098 %
±10.000 %
6.902 %
within
s 0.215 R0(0.50)/R0(1.00)
0.2756
0.287
4.117 %
±10.000 %
5.883 %
within
s 0.215 R0(0.75)/R0(1.00)
0.5654
0.5958
5.381 %
±10.000 %
4.619 %
within
s 0.215 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
L8 speed trend at 0 deg, default law, K = 1.16 (reported)
reported; 12 rows, 0 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 R0(0.25)/R0(1.00)
0.08079
0.07773
-3.786 %
±10.000 %
6.214 %
within
s 0.223 R0(0.50)/R0(1.00)
0.2626
0.2709
3.137 %
±10.000 %
6.863 %
within
s 0.223 R0(0.75)/R0(1.00)
0.569
0.5731
0.722 %
±10.000 %
9.278 %
within
s 0.223 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.128 R0(0.25)/R0(1.00)
0.08338
0.0789
-5.369 %
±10.000 %
4.631 %
within
s 0.128 R0(0.50)/R0(1.00)
0.2628
0.287
9.204 %
±10.000 %
0.796 %
within
s 0.128 R0(0.75)/R0(1.00)
0.5704
0.5956
4.406 %
±10.000 %
5.594 %
within
s 0.128 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
s 0.215 R0(0.25)/R0(1.00)
0.08126
0.07841
-3.513 %
±10.000 %
6.487 %
within
s 0.215 R0(0.50)/R0(1.00)
0.2756
0.2869
4.075 %
±10.000 %
5.925 %
within
s 0.215 R0(0.75)/R0(1.00)
0.5654
0.5962
5.448 %
±10.000 %
4.552 %
within
s 0.215 R0(1.00)/R0(1.00)
1
1
0.000 %
±10.000 %
10.000 %
within
NetValidation ZhanCylinder report
tests/out/NetValidation_ZhanCylinder_report.txt, as the test wrote it.
Conventions: error = model/measured - 1 (in %) for loads and coefficients, model - measured for ratios and localCd; ratio = measured/model; margin = tolerance - |error| (negative = fails).
Cylinder D 0.414 x H 0.700 m, 24 x 4 wall sections, 192 panels; Sn = K s; tow k = 1e+06 N/m; end 0.05 s; wake: Grid, Off (one build at t = 0), WakeLength 1 m. Asserted rows v >= 0.50 m/s.
S2 wake effect: drag without the wake (measured column) and with it (model), K 1, k 0.05
12 rows, no tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 drag off -> on [N]
5.583
4.698
-15.843 %
–
–
reported
s 0.223 v 0.50 drag off -> on [N]
19.48
16.79
-13.805 %
–
–
reported
s 0.223 v 0.75 drag off -> on [N]
41.14
35.62
-13.428 %
–
–
reported
s 0.223 v 1.00 drag off -> on [N]
71.64
61.87
-13.641 %
–
–
reported
s 0.128 v 0.25 drag off -> on [N]
3.226
2.906
-9.909 %
–
–
reported
s 0.128 v 0.50 drag off -> on [N]
11.76
10.74
-8.679 %
–
–
reported
s 0.128 v 0.75 drag off -> on [N]
24.42
22.49
-7.939 %
–
–
reported
s 0.128 v 1.00 drag off -> on [N]
41.02
37.92
-7.574 %
–
–
reported
s 0.215 v 0.25 drag off -> on [N]
5.864
4.852
-17.257 %
–
–
reported
s 0.215 v 0.50 drag off -> on [N]
21.52
18.22
-15.365 %
–
–
reported
s 0.215 v 0.75 drag off -> on [N]
44.8
38.5
-14.056 %
–
–
reported
s 0.215 v 1.00 drag off -> on [N]
75.15
65.12
-13.342 %
–
–
reported
S2 drag ratio on/off against Zhan Table 7 / Fig. 8 planar-derived, K 1, k 0.05
12 rows, 11 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 on/off vs Rc/Rc_planar
0.8873
0.8416
-5.158 %
±10.000 %
4.842 %
within
s 0.223 v 0.50 on/off vs Rc/Rc_planar
0.7313
0.8619
17.870 %
±10.000 %
-7.870 %
outside
s 0.223 v 0.75 on/off vs Rc/Rc_planar
0.722
0.8657
19.898 %
±10.000 %
-9.898 %
outside
s 0.223 v 1.00 on/off vs Rc/Rc_planar
0.7055
0.8636
22.409 %
±10.000 %
-12.409 %
outside
s 0.128 v 0.25 on/off vs Rc/Rc_planar
0.6858
0.9009
31.369 %
±10.000 %
-21.369 %
outside
s 0.128 v 0.50 on/off vs Rc/Rc_planar
0.7652
0.9132
19.338 %
±10.000 %
-9.338 %
outside
s 0.128 v 0.75 on/off vs Rc/Rc_planar
0.8204
0.9206
12.213 %
±10.000 %
-2.213 %
outside
s 0.128 v 1.00 on/off vs Rc/Rc_planar
0.8102
0.9243
14.079 %
±10.000 %
-4.079 %
outside
s 0.215 v 0.25 on/off vs Rc/Rc_planar
0.7485
0.8274
10.549 %
±10.000 %
-0.549 %
outside
s 0.215 v 0.50 on/off vs Rc/Rc_planar
0.6907
0.8464
22.544 %
±10.000 %
-12.544 %
outside
s 0.215 v 0.75 on/off vs Rc/Rc_planar
0.6587
0.8594
30.473 %
±10.000 %
-20.473 %
outside
s 0.215 v 1.00 on/off vs Rc/Rc_planar
0.6529
0.8666
32.729 %
±10.000 %
-22.729 %
outside
S2 absolute drag with the wake against Table 7, K 1, k 0.05
12 rows, 1 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 Rc, wake on [N]
6.38
4.698
-26.356 %
±20.000 %
-6.356 %
outside
s 0.223 v 0.50 Rc, wake on [N]
19.62
16.79
-14.422 %
±20.000 %
5.578 %
within
s 0.223 v 0.75 Rc, wake on [N]
41.59
35.62
-14.356 %
±20.000 %
5.644 %
within
s 0.223 v 1.00 Rc, wake on [N]
71.22
61.87
-13.133 %
±20.000 %
6.867 %
within
s 0.128 v 0.25 Rc, wake on [N]
2.75
2.906
5.673 %
±20.000 %
14.327 %
within
s 0.128 v 0.50 Rc, wake on [N]
10.3
10.74
4.245 %
±20.000 %
15.755 %
within
s 0.128 v 0.75 Rc, wake on [N]
24.03
22.49
-6.426 %
±20.000 %
13.574 %
within
s 0.128 v 1.00 Rc, wake on [N]
41.79
37.92
-9.271 %
±20.000 %
10.729 %
within
s 0.215 v 0.25 Rc, wake on [N]
4.91
4.852
-1.179 %
±20.000 %
18.821 %
within
s 0.215 v 0.50 Rc, wake on [N]
17.66
18.22
3.152 %
±20.000 %
16.848 %
within
s 0.215 v 0.75 Rc, wake on [N]
36.69
38.5
4.930 %
±20.000 %
15.070 %
within
s 0.215 v 1.00 Rc, wake on [N]
63.37
65.12
2.766 %
±20.000 %
17.234 %
within
S2 absolute drag against Table 7 at k in {0.03, 0.05, 0.08} and K in {1, 1.16} (reported)
reported; 96 rows, no tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
K 1.00 s 0.223 v 0.25 wake off [N]
6.38
5.583
-12.493 %
–
–
reported
K 1.00 s 0.223 v 0.25 k 0.03 [N]
6.38
4.656
-27.029 %
–
–
reported
K 1.00 s 0.223 v 0.25 k 0.05 [N]
6.38
4.698
-26.356 %
–
–
reported
K 1.00 s 0.223 v 0.25 k 0.08 [N]
6.38
4.774
-25.168 %
–
–
reported
K 1.00 s 0.223 v 0.50 wake off [N]
19.62
19.48
-0.715 %
–
–
reported
K 1.00 s 0.223 v 0.50 k 0.03 [N]
19.62
16.67
-15.015 %
–
–
reported
K 1.00 s 0.223 v 0.50 k 0.05 [N]
19.62
16.79
-14.422 %
–
–
reported
K 1.00 s 0.223 v 0.50 k 0.08 [N]
19.62
17.02
-13.266 %
–
–
reported
K 1.00 s 0.223 v 0.75 wake off [N]
41.59
41.14
-1.072 %
–
–
reported
K 1.00 s 0.223 v 0.75 k 0.03 [N]
41.59
35.4
-14.890 %
–
–
reported
K 1.00 s 0.223 v 0.75 k 0.05 [N]
41.59
35.62
-14.356 %
–
–
reported
K 1.00 s 0.223 v 0.75 k 0.08 [N]
41.59
36.08
-13.251 %
–
–
reported
K 1.00 s 0.223 v 1.00 wake off [N]
71.22
71.64
0.587 %
–
–
reported
K 1.00 s 0.223 v 1.00 k 0.03 [N]
71.22
61.48
-13.669 %
–
–
reported
K 1.00 s 0.223 v 1.00 k 0.05 [N]
71.22
61.87
-13.133 %
–
–
reported
K 1.00 s 0.223 v 1.00 k 0.08 [N]
71.22
62.67
-12.003 %
–
–
reported
K 1.00 s 0.128 v 0.25 wake off [N]
2.75
3.226
17.296 %
–
–
reported
K 1.00 s 0.128 v 0.25 k 0.03 [N]
2.75
2.899
5.417 %
–
–
reported
K 1.00 s 0.128 v 0.25 k 0.05 [N]
2.75
2.906
5.673 %
–
–
reported
K 1.00 s 0.128 v 0.25 k 0.08 [N]
2.75
2.933
6.663 %
–
–
reported
K 1.00 s 0.128 v 0.50 wake off [N]
10.3
11.76
14.152 %
–
–
reported
K 1.00 s 0.128 v 0.50 k 0.03 [N]
10.3
10.71
4.011 %
–
–
reported
K 1.00 s 0.128 v 0.50 k 0.05 [N]
10.3
10.74
4.245 %
–
–
reported
K 1.00 s 0.128 v 0.50 k 0.08 [N]
10.3
10.82
5.093 %
–
–
reported
K 1.00 s 0.128 v 0.75 wake off [N]
24.03
24.42
1.643 %
–
–
reported
K 1.00 s 0.128 v 0.75 k 0.03 [N]
24.03
22.44
-6.619 %
–
–
reported
K 1.00 s 0.128 v 0.75 k 0.05 [N]
24.03
22.49
-6.426 %
–
–
reported
K 1.00 s 0.128 v 0.75 k 0.08 [N]
24.03
22.65
-5.737 %
–
–
reported
K 1.00 s 0.128 v 1.00 wake off [N]
41.79
41.02
-1.837 %
–
–
reported
K 1.00 s 0.128 v 1.00 k 0.03 [N]
41.79
37.84
-9.443 %
–
–
reported
K 1.00 s 0.128 v 1.00 k 0.05 [N]
41.79
37.92
-9.271 %
–
–
reported
K 1.00 s 0.128 v 1.00 k 0.08 [N]
41.79
38.18
-8.637 %
–
–
reported
K 1.00 s 0.215 v 0.25 wake off [N]
4.91
5.864
19.431 %
–
–
reported
K 1.00 s 0.215 v 0.25 k 0.03 [N]
4.91
4.803
-2.180 %
–
–
reported
K 1.00 s 0.215 v 0.25 k 0.05 [N]
4.91
4.852
-1.179 %
–
–
reported
K 1.00 s 0.215 v 0.25 k 0.08 [N]
4.91
4.938
0.573 %
–
–
reported
K 1.00 s 0.215 v 0.50 wake off [N]
17.66
21.52
21.878 %
–
–
reported
K 1.00 s 0.215 v 0.50 k 0.03 [N]
17.66
18.06
2.268 %
–
–
reported
K 1.00 s 0.215 v 0.50 k 0.05 [N]
17.66
18.22
3.152 %
–
–
reported
K 1.00 s 0.215 v 0.50 k 0.08 [N]
17.66
18.5
4.755 %
–
–
reported
K 1.00 s 0.215 v 0.75 wake off [N]
36.69
44.8
22.092 %
–
–
reported
K 1.00 s 0.215 v 0.75 k 0.03 [N]
36.69
38.22
4.166 %
–
–
reported
K 1.00 s 0.215 v 0.75 k 0.05 [N]
36.69
38.5
4.930 %
–
–
reported
K 1.00 s 0.215 v 0.75 k 0.08 [N]
36.69
39.03
6.389 %
–
–
reported
K 1.00 s 0.215 v 1.00 wake off [N]
63.37
75.15
18.588 %
–
–
reported
K 1.00 s 0.215 v 1.00 k 0.03 [N]
63.37
64.7
2.100 %
–
–
reported
K 1.00 s 0.215 v 1.00 k 0.05 [N]
63.37
65.12
2.766 %
–
–
reported
K 1.00 s 0.215 v 1.00 k 0.08 [N]
63.37
65.97
4.104 %
–
–
reported
K 1.16 s 0.223 v 0.25 wake off [N]
6.38
6.673
4.600 %
–
–
reported
K 1.16 s 0.223 v 0.25 k 0.03 [N]
6.38
5.369
-15.852 %
–
–
reported
K 1.16 s 0.223 v 0.25 k 0.05 [N]
6.38
5.437
-14.783 %
–
–
reported
K 1.16 s 0.223 v 0.25 k 0.08 [N]
6.38
5.543
-13.112 %
–
–
reported
K 1.16 s 0.223 v 0.50 wake off [N]
19.62
23.28
18.631 %
–
–
reported
K 1.16 s 0.223 v 0.50 k 0.03 [N]
19.62
19.32
-1.553 %
–
–
reported
K 1.16 s 0.223 v 0.50 k 0.05 [N]
19.62
19.5
-0.603 %
–
–
reported
K 1.16 s 0.223 v 0.50 k 0.08 [N]
19.62
19.82
1.030 %
–
–
reported
K 1.16 s 0.223 v 0.75 wake off [N]
41.59
49.27
18.459 %
–
–
reported
K 1.16 s 0.223 v 0.75 k 0.03 [N]
41.59
41.12
-1.139 %
–
–
reported
K 1.16 s 0.223 v 0.75 k 0.05 [N]
41.59
41.47
-0.278 %
–
–
reported
K 1.16 s 0.223 v 0.75 k 0.08 [N]
41.59
42.12
1.286 %
–
–
reported
K 1.16 s 0.223 v 1.00 wake off [N]
71.22
85.98
20.723 %
–
–
reported
K 1.16 s 0.223 v 1.00 k 0.03 [N]
71.22
71.53
0.431 %
–
–
reported
K 1.16 s 0.223 v 1.00 k 0.05 [N]
71.22
72.14
1.296 %
–
–
reported
K 1.16 s 0.223 v 1.00 k 0.08 [N]
71.22
73.29
2.900 %
–
–
reported
K 1.16 s 0.128 v 0.25 wake off [N]
2.75
3.794
37.952 %
–
–
reported
K 1.16 s 0.128 v 0.25 k 0.03 [N]
2.75
3.341
21.474 %
–
–
reported
K 1.16 s 0.128 v 0.25 k 0.05 [N]
2.75
3.355
21.993 %
–
–
reported
K 1.16 s 0.128 v 0.25 k 0.08 [N]
2.75
3.392
23.356 %
–
–
reported
K 1.16 s 0.128 v 0.50 wake off [N]
10.3
13.81
34.063 %
–
–
reported
K 1.16 s 0.128 v 0.50 k 0.03 [N]
10.3
12.37
20.060 %
–
–
reported
K 1.16 s 0.128 v 0.50 k 0.05 [N]
10.3
12.41
20.491 %
–
–
reported
K 1.16 s 0.128 v 0.50 k 0.08 [N]
10.3
12.53
21.646 %
–
–
reported
K 1.16 s 0.128 v 0.75 wake off [N]
24.03
28.67
19.324 %
–
–
reported
K 1.16 s 0.128 v 0.75 k 0.03 [N]
24.03
25.94
7.933 %
–
–
reported
K 1.16 s 0.128 v 0.75 k 0.05 [N]
24.03
26.02
8.272 %
–
–
reported
K 1.16 s 0.128 v 0.75 k 0.08 [N]
24.03
26.24
9.204 %
–
–
reported
K 1.16 s 0.128 v 1.00 wake off [N]
41.79
48.17
15.260 %
–
–
reported
K 1.16 s 0.128 v 1.00 k 0.03 [N]
41.79
43.78
4.760 %
–
–
reported
K 1.16 s 0.128 v 1.00 k 0.05 [N]
41.79
43.91
5.066 %
–
–
reported
K 1.16 s 0.128 v 1.00 k 0.08 [N]
41.79
44.26
5.921 %
–
–
reported
K 1.16 s 0.215 v 0.25 wake off [N]
4.91
7.017
42.906 %
–
–
reported
K 1.16 s 0.215 v 0.25 k 0.03 [N]
4.91
5.525
12.526 %
–
–
reported
K 1.16 s 0.215 v 0.25 k 0.05 [N]
4.91
5.603
14.113 %
–
–
reported
K 1.16 s 0.215 v 0.25 k 0.08 [N]
4.91
5.723
16.565 %
–
–
reported
K 1.16 s 0.215 v 0.50 wake off [N]
17.66
25.68
45.440 %
–
–
reported
K 1.16 s 0.215 v 0.50 k 0.03 [N]
17.66
20.82
17.918 %
–
–
reported
K 1.16 s 0.215 v 0.50 k 0.05 [N]
17.66
21.07
19.322 %
–
–
reported
K 1.16 s 0.215 v 0.50 k 0.08 [N]
17.66
21.47
21.571 %
–
–
reported
K 1.16 s 0.215 v 0.75 wake off [N]
36.69
53.41
45.566 %
–
–
reported
K 1.16 s 0.215 v 0.75 k 0.03 [N]
36.69
44.17
20.388 %
–
–
reported
K 1.16 s 0.215 v 0.75 k 0.05 [N]
36.69
44.62
21.605 %
–
–
reported
K 1.16 s 0.215 v 0.75 k 0.08 [N]
36.69
45.37
23.661 %
–
–
reported
K 1.16 s 0.215 v 1.00 wake off [N]
63.37
89.62
41.424 %
–
–
reported
K 1.16 s 0.215 v 1.00 k 0.03 [N]
63.37
74.92
18.223 %
–
–
reported
K 1.16 s 0.215 v 1.00 k 0.05 [N]
63.37
75.59
19.288 %
–
–
reported
K 1.16 s 0.215 v 1.00 k 0.08 [N]
63.37
76.79
21.169 %
–
–
reported
W9 mean flow ratio over the rear-half panel centroids, caster level (private field); band [0.69, 0.92]
12 rows, 2 of 12 outside the tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
s 0.223 v 0.25 mean u/U rear half (band centre)
0.805
0.8386
0.034
±0.115
0.081
within
s 0.223 v 0.50 mean u/U rear half (band centre)
0.805
0.8587
0.054
±0.115
0.061
within
s 0.223 v 0.75 mean u/U rear half (band centre)
0.805
0.8673
0.062
±0.115
0.053
within
s 0.223 v 1.00 mean u/U rear half (band centre)
0.805
0.87
0.065
±0.115
0.05
within
s 0.128 v 0.25 mean u/U rear half (band centre)
0.805
0.9062
0.101
±0.115
0.014
within
s 0.128 v 0.50 mean u/U rear half (band centre)
0.805
0.9143
0.109
±0.115
0.006
within
s 0.128 v 0.75 mean u/U rear half (band centre)
0.805
0.9208
0.116
±0.115
-0.001
outside
s 0.128 v 1.00 mean u/U rear half (band centre)
0.805
0.9251
0.12
±0.115
-0.005
outside
s 0.215 v 0.25 mean u/U rear half (band centre)
0.805
0.831
0.026
±0.115
0.089
within
s 0.215 v 0.50 mean u/U rear half (band centre)
0.805
0.8443
0.039
±0.115
0.076
within
s 0.215 v 0.75 mean u/U rear half (band centre)
0.805
0.8557
0.051
±0.115
0.064
within
s 0.215 v 1.00 mean u/U rear half (band centre)
0.805
0.8637
0.059
±0.115
0.056
within
S6 Freeze: build at 1 s, then the defaults (WakeIterInterval 5 s, blend 2 s); tow k = 10000 N/m; window 0.5 s before and 0.5 s + blend after.
RK45_i: 25873 steps, step 6.182e-05..8.230e-04 s, wall 11.71 s, drag at the end 61.8661 N
BDF: 241 steps, step 2.959e-11..1.000e-01 s, wall 0.80 s, drag at the end 61.8661 N
BDF_DefaultLinearSolver: 471 steps, step 2.959e-11..1.000e-01 s, wall 8.37 s, drag at the end 61.7860 N
S6 min step after a rebuild (model) against before (measured); ratio = before/after < 2 passes
6 rows, no tolerance.
Case
Measured
Model
Error
Tolerance
Margin
Result
RK45_i rebuild at t = 1.0002 s: min step before [s]
0.0002501
0.000161
-35.626 %
–
–
reported
RK45_i rebuild at t = 6.0004 s: min step before [s]
0.0002
0.000148
-26.000 %
–
–
reported
BDF rebuild at t = 1.0721 s: min step before [s]
0.1
0.1
0.001 %
–
–
reported
BDF rebuild at t = 6.1721 s: min step before [s]
0.1
0.1
0.000 %
–
–
reported
BDF_DefaultLinearSolver rebuild at t = 1.0939 s: min step before [s]
0.1
0.00013
-99.870 %
–
–
reported
BDF_DefaultLinearSolver rebuild at t = 6.1805 s: min step before [s]
0.1
0.1
0.000 %
–
–
reported
Data provenance
Every measured number in the tables above comes from these files (contract C6); the header of each gives the paper, the table or figure, how it was obtained and its uncertainty.
zhan2006_nets.csv
tests/data/zhan2006_nets.csv, 12 rows.
Field
Value
source
Zhan JM, Jia XP, Li YS, Sun MG, Guo GX, Hu YZ (2006), Aquacultural Engineering 35, 91-101 (Zhan 2006)
location
§2 text (journal p. 93, PDF p. 3) for s, d, dl; Tables 4-6 (journal pp. 97-98, PDF pp. 7-8) for Cd, Re and the cylinder Cd
kind
tabulated
uncertainty
as published (values copied exactly)
units
s [-], d_mm [mm], dl_mm [mm], v_m_s [m/s], cd_planar [-], re [-], cd_cylinder [-]
notes
Nylon nets, all of square diamond pattern; Zhan do not say whether they are knotted. s = 2d/dl (Zhan §1), with no knot term: the tests use Sn = s at K = 1 (lead ruling R2); K = 1.16 is a reconciliation hypothesis, reported only.
notes
cd_planar is the normal-incidence net Cd of Zhan Eq. 2 (R0 = Cd 0.5 rho v^2 L d, L approx. 2 * net area / dl); re = v d / nu; cd_cylinder is the single-circular-cylinder Cd at that Re quoted by Zhan.
notes
Zhan state neither the water density nor nu. nu = v d / Re = 1.006e-6 to 1.010e-6 m2/s over the rows (mean 1.008e-6). rho = 1000 kg/m3 (fresh water) is an assumption of the plan, not a statement of the paper. Towing tank 204 m x 6 m x 3 m deep (§2); planar net 1.3 x 0.7 m, cylinder D 0.414 x H 0.7 m (Fig. 1).
Zhan JM, Jia XP, Li YS, Sun MG, Guo GX, Hu YZ (2006), Analytical and experimental investigation of drag on nets of fish cages, Aquacultural Engineering 35, 91-101 (Zhan 2006)
location
Tables 1-3, planar net drag (journal pp. 95-96, PDF pp. 5-6)
kind
tabulated
uncertainty
as published (values copied exactly); balance error < 5 %, frame-interaction error < 3 % (Zhan §2); each test repeated twice
Planar nylon net 1.3 x 0.7 m on a rigid frame of 20 mm steel bars (Fig. 1a); R0, R30, R60 are the net drag along the towing direction at theta = 0, 30, 60 deg between panel normal and flow, frame drag subtracted. Rows: Table 1 (s 0.223), Table 2 (s 0.128), Table 3 (s 0.215).
notes
s = 2d/dl as defined by Zhan (no knot term); the tests use Sn = s at K = 1 (lead ruling R2); K = 1.16 is reported only. The 0.25 m/s row of Table 2 has R30 > R0, a sign of noise (plan L8: reported, not asserted).
s
d_mm
dl_mm
v_m_s
r0_N
r30_N
r60_N
0.223
1.45
13
0.25
11.77
9.52
5.89
0.223
1.45
13
0.50
38.26
31.49
19.33
0.223
1.45
13
0.75
82.89
63.57
45.13
0.223
1.45
13
1.00
145.68
120.17
84.37
0.128
0.8
12.5
0.25
6.38
8.34
3.43
0.128
0.8
12.5
0.50
20.11
15.50
8.14
0.128
0.8
12.5
0.75
43.65
29.43
19.82
0.128
0.8
12.5
1.00
76.52
59.35
39.34
0.215
0.7
6.5
0.25
11.28
9.81
4.12
0.215
0.7
6.5
0.50
38.26
29.04
14.42
0.215
0.7
6.5
0.75
78.48
57.39
34.34
0.215
0.7
6.5
1.00
138.81
112.32
66.22
zhan2006_cylinder_table7.csv
tests/data/zhan2006_cylinder_table7.csv, 12 rows.
Field
Value
source
Zhan JM, Jia XP, Li YS, Sun MG, Guo GX, Hu YZ (2006), Aquacultural Engineering 35, 91-101 (Zhan 2006)
location
Table 7, cylindrical net drag (journal p. 99, PDF p. 9)
kind
tabulated
uncertainty
as published (values copied exactly); balance error < 5 %, frame-interaction error < 3 % (Zhan §2)
units
s [-], d_mm [mm], dl_mm [mm], v_m_s [m/s], rc_N [N]
notes
Rigid vertical cylindrical net, diameter 0.414 m, height 0.7 m (Fig. 1b), in the same towing tank, frame drag subtracted; same three nets as the planar tests.
notes
Zhan §5: their planar-net coefficients overpredict the cylinder drag; assuming the flow is reduced to 0.69 v behind the front half reproduces it (text-stated, journal p. 100). s = 2d/dl at K = 1 (lead ruling R2).
s
d_mm
dl_mm
v_m_s
rc_N
0.223
1.45
13
0.25
6.38
0.223
1.45
13
0.50
19.62
0.223
1.45
13
0.75
41.59
0.223
1.45
13
1.00
71.22
0.128
0.8
12.5
0.25
2.75
0.128
0.8
12.5
0.50
10.30
0.128
0.8
12.5
0.75
24.03
0.128
0.8
12.5
1.00
41.79
0.215
0.7
6.5
0.25
4.91
0.215
0.7
6.5
0.50
17.66
0.215
0.7
6.5
0.75
36.69
0.215
0.7
6.5
1.00
63.37
zhan2006_fig8_digitised.csv
tests/data/zhan2006_fig8_digitised.csv, 12 rows.
Field
Value
source
Zhan JM, Jia XP, Li YS, Sun MG, Guo GX, Hu YZ (2006), Aquacultural Engineering 35, 91-101 (Zhan 2006)
location
Fig. 8, "predicted without energy loss" solid lines (journal p. 100, PDF p. 10); measured markers are Table 7 (tests/data/zhan2006_cylinder_table7.csv)
kind
digitised
uncertainty
+-0.5 N. Read from the 600 dpi raster of Fig. 8 (the only image on PDF page 10): axes calibrated on the tick marks (largest tick residual 2.3 px = 0.36 N), the solid line tracked column by column and fitted per speed interval as a straight segment (the plotted line is a polyline through the four speeds; largest fit residual 0.25 N), each speed read at the segment ends (the two segments meeting at 0.50 and 0.75 m/s agree to 0.08 N). The Table 7 markers read the same way land within 0.35 N of their tabulated values.
units
s [-], v_m_s [m/s], rc_planar_N [N]
notes
rc_planar_N is Zhan's planar-derived cylinder drag: their Eq. (27) evaluated with the Cd and Cf fitted to the planar nets (Eqs. 19-21), no energy loss inside the cylinder. Zhan: the prediction is always larger than the measured drag; a flow reduced to 0.69 v behind the front half reproduces it. This file is used by plan test S2 (NetValidation_ZhanCylinder_Test.cpp): the measured ratio rc_N / rc_planar_N is the target of the model's wake-on / wake-off drag ratio.
notes
Eq. (27) as printed is not self-consistent: its middle line reduces to 1/2 rho v^2 d (8 r H / dl) times the integral, its last line (R0 8/(2 pi Cd) with L = 4 pi r H / dl) to twice that. The middle form, with Cd at the normal speed v cos(theta) and Cf at v sin(theta), gives 107-112 N for s = 0.223 at 1 m/s, 6-11 % above this line, so Zhan's exact evaluation is not reproducible from the text; the plotted line is used instead.
notes
Same nets and rows as zhan2006_cylinder_table7.csv (s = 2d/dl, K = 1, lead ruling R2). Moved from tests/in/NetValidation/ to tests/data/ by the lead at the WP-D2 merge.