Table 1.
Predicted and measured periodicities in the linear, closed-boundary simulations (see Sect. 3.2 for a list describing the different column headers).
| η | j0 | tc (a = 1) | tc (measured) | a (empirical) | P (a = 1) | P (empirical a) | P (FFT) | P (extrema) |
|---|---|---|---|---|---|---|---|---|
| 0.00003 | 10−5 | 5.2072 | 5.2824 | 0.928 | 24.829 | 24.571 | 22.22–28.57 | 23.08 |
| 0.0001 | 10−5 | 4.6052 | 4.6814 | 0.927 | 22.421 | 21.160 | 18.18–22.22 | 21.67 |
| 0.0003 | 10−5 | 4.0559 | 4.1318 | 0.927 | 20.223 | 19.963 | 18.18–22.22 | 19.43 |
| 0.001 | 10−5 | 3.4539 | 3.5287 | 0.928 | 17.816 | 17.559 | 15.39–18.18 | 16.86 |
| 0.003 | 10−5 | 2.9046 | 2.9765 | 0.931 | 15.618 | 15.370 | 13.33–15.39 | 14.03 |
| 0.00003 | 0.01η | 5.2072 | 5.2832 | 0.927 | 24.829 | 24.571 | 22.22–28.57 | 24.20 |
| 0.0001 | 0.01η | 4.6052 | 4.6815 | 0.927 | 22.421 | 21.160 | 18.18–22.22 | 21.81 |
| 0.0003 | 0.01η | 4.0559 | 4.1319 | 0.927 | 20.223 | 19.963 | 18.18–22.22 | 19.59 |
| 0.001 | 0.01η | 3.4539 | 3.5287 | 0.928 | 17.816 | 17.559 | 15.39–18.18 | 17.02 |
| 0.003 | 0.01η | 2.9046 | 2.9764 | 0.931 | 15.618 | 15.370 | 13.33–15.39 | 14.71 |
Notes.
In both the case of the predicted periods for a = 1 and an empirically corrected period for a ≠ 1, the prediction is consistent with the peak spectral power bin, although by comparison to the average distance between local extrema the adjusted prediction appears to have closer agreement to simulation.
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