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Atmospheric Measurement Techniques An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/amt-2016-401
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
16 Jan 2017
Review status
This discussion paper is a preprint. A revision of the manuscript is under review for the journal Atmospheric Measurement Techniques (AMT).
Novel approaches to estimating turbulent kinetic energy dissipation rate from low and moderate resolution velocity fluctuation time series
Marta Wacławczyk1, Yong-Feng Ma1, Jacek M. Kopeć1,2, and Szymon P. Malinowski1 1Institute of Geophysics, Faculty of Physics, University of Warsaw, Warsaw, Poland
2Interdisciplinary Centre of Mathematical and Numerical Modelling, University of Warsaw, Warsaw, Poland
Abstract. In this paper we propose two approaches to estimating the kinetic energy dissipation rate, based on the zero-crossing method by Sreenivasan et al. [J. Fluid Mech., 137, 1983]. The original formulation requires a good accuracy of the measured signal (down to the smallest dissipative scales). However, due to finite sampling frequency, as well as measurement errors, velocity time series obtained from airborne experiments are characterized by the presence of effective spectral cut-offs. In contrast to the original formulation the new approaches are suitable for use with signals originating from such experiments. The fittingness of the new approaches is tested using measurement data obtained during the Physics of Stratocumulus Top (POST) airborne research campaign.

Citation: Wacławczyk, M., Ma, Y.-F., Kopeć, J. M., and Malinowski, S. P.: Novel approaches to estimating turbulent kinetic energy dissipation rate from low and moderate resolution velocity fluctuation time series, Atmos. Meas. Tech. Discuss., https://doi.org/10.5194/amt-2016-401, in review, 2017.
Marta Wacławczyk et al.
Marta Wacławczyk et al.
Marta Wacławczyk et al.

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Short summary
We propose two novel methods to estimate turbulent kinetic energy dissipation rate applicable to airborne measurements. In this way we increase robustness of the dissipation rate retrieval and extend its applicability to a wider range of data sets. The new approaches relate predicted form of the dissipation spectrum to the mean number of zero-crossings of the measured velocity fluctuations. The methods are easy to implement numerically, estimates remain unaffected by certain measurement errors.
We propose two novel methods to estimate turbulent kinetic energy dissipation rate applicable to...
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