A comparison of errors in the turbulence kinetic energy dissipation-rate estimations through different methods in the atmospheric boundary layer

Authors

  • Lívia Souza Freire Universidade Federal do Paraná
  • Nelson Luís Dias Universidade Federal do Paraná
  • André Luiz Grion Universidade Federal do Paraná

DOI:

https://doi.org/10.5902/2179460X30429

Keywords:

Dissipation rate, Monte Carlo, ogive, spectrum, structure function

Abstract

The dissipation rate of the turbulence kinetic energy (") in the atmosphere can be indirectly obtained from high-frequency measurements of streamwise wind velocity, when using the inertial subrange theory predicted by Kolmogorov for the spectrum, second order structure function or ogive. To estimate the error intrinsic to these estimations, a series of synthetic spectra was constructed from the theoretical spectrum combined with random rrors, which were then used to obtain structure functions and ogive. The " estimation from spectra or structure functions presented a root mean square value of approximately 2% of the expected value of ", whereas the estimation from ogives had errors of approximately 1:3%. A correction factor is needed in the estimations using the ogive and the structure function in order to remove the bias caused by the finite Nyquest frequency. Due to
the smaller error, the ogive provides the best approach for indirect estimation of " in the atmospheric boundary layer.

Downloads

Download data is not yet available.

References

Chamecki, M., Dias, N. L. (2004). The local isotropy hypothesis and the turbulent kinetic energy dissipation rate in the atmospheric surface layer. Quarterly Journal of the Royal Meteorological Society, 130(603), 2733–2752.

Chamecki, M., Dias, N. L., Salesky, S. T., Pan, Y. (2017). Scaling laws for the longitudinal structure function in the atmospheric surface layer. Journal of the Atmospheric Sciences, 74(4), 1127–1147.

Davidson, P. (2004). Turbulence, an Introduction for scientists and engineerers. Oxford University Press.

Davidson, P., Krogstad, P. Å. (2014). A universal scaling for low-order structure functions in the log-law region of smooth and rough-wall boundary layers. Journal of Fluid Mechanics, 752, 140–156.

Dias, N. L. (2017). Smoothed spectra, ogives, and error estimates for atmospheric turbulence data. Boundary-Layer Meteorology, (n/a), n/a–n/a.

Katul, G., Mahrt, L., Poggi, D., Sanz, C. (2004). One and two-equation models for canopy turbulence. Boundary-Layer Meteorology, 113(1), 81–109.

Moeng, C. H., Wyngaard, J. C. (1989). Evaluation of turbulent transport and dissipation closures in second-order modeling. Journal of the Atmospheric Sciences, 46(14), 2311–2330.

Pan, Y., Chamecki, M. (2016). A scaling law for the shear-production range of second-order structure functions. Journal of Fluid Mechanics, 801, 459–474.

Published

2018-03-22

How to Cite

Freire, L. S., Dias, N. L., & Grion, A. L. (2018). A comparison of errors in the turbulence kinetic energy dissipation-rate estimations through different methods in the atmospheric boundary layer. Ciência E Natura, 40, 07–13. https://doi.org/10.5902/2179460X30429

Most read articles by the same author(s)