the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Estimating vertically averaged energy dissipation rate
Nozomi Sugiura
Shinya Kouketsu
Shuhei Masuda
Satoshi Osafune
Ichiro Yasuda
Abstract. The energy dissipation rate is an important characteristic of turbulence; however, its magnitude in observational profiles can be misidentified owing to its erratic evolution. By analysing observed data from oceanic turbulence, we show that the vertical sequences of depth-averaged energy dissipation rates have a scaling property, and propose a method to suitably estimate the vertically averaged value by utilizing that property. For scaling in the observed profiles, we found that averaging neighbouring points increases the expected value of its logarithm proportionally to the logarithm of the averaging interval. Furthermore, the population mean can be estimated for the logarithm of the vertically averaged energy dissipation rate from a single observation profile, by scaling up and promoting the observed value at each depth to one that corresponds to the whole profile. The estimate allows to distinguish whether an observational profile exhibits a momentarily high value by intermittency or maintains high energy dissipation on average.
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Preprint
(1114 KB)
Nozomi Sugiura et al.
Interactive discussion


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RC1: 'Review of npg-2018-48', Anonymous Referee #1, 03 Jan 2019
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RC2: 'Please read the literature', Anonymous Referee #2, 03 Jan 2019
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AC2: 'Final response', Nozomi Sugiura, 19 Mar 2019
Interactive discussion


-
RC1: 'Review of npg-2018-48', Anonymous Referee #1, 03 Jan 2019
-
RC2: 'Please read the literature', Anonymous Referee #2, 03 Jan 2019
-
AC2: 'Final response', Nozomi Sugiura, 19 Mar 2019
Nozomi Sugiura et al.
Nozomi Sugiura et al.
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