24 Aug 2022
24 Aug 2022
Status: this preprint is currently under review for the journal WES.

Investigations of Correlation and Coherence in Turbulence from a Large-Eddy Simulation

Regis Thedin, Eliot Quon, Matthew Churchfield, and Paul Veers Regis Thedin et al.
  • National Renewable Energy Laboratory

Abstract. Microscale flow descriptions are usually given in terms of statistics of turbulence quantities and/or spectral analysis. Those metrics, while valuable, give limited information about coherent turbulent structures. This work investigates the structure of an atmospheric boundary layer using coherence and correlation in space and time with a range of separation distances. To that end, we obtain spatial correlation of entire planes of velocity fluctuations, which allow us to have a better understanding of the correlation along different directions at different spacings. Similarly, coherence of the three velocity components over separations in the three directions is also investigated. We apply these analyses to a mesoscale-to-microscale coupled scenario with time-varying conditions and examine nuances in spatial correlations that are often overlooked. Through these analyses, we highlight the importance of spatial correlation and coherence for disciplines like wind energy structural dynamic analysis, in which blade loading and fatigue depend strongly on turbulence structure. We emphasize the additional wealth of data that can be provided by typical atmospheric boundary layer large-eddy simulation when correlation and coherence analysis is included, and we also state the limitations of large-eddy simulation data, which inherently truncate the smaller scales of turbulence.

Regis Thedin et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CC1: 'Comment on wes-2022-71', Etienne Cheynet, 24 Aug 2022
    • AC1: 'Reply on CC1', Regis Thedin, 25 Aug 2022
  • RC1: 'Comment on wes-2022-71', Etienne Cheynet, 07 Sep 2022
  • RC2: 'Comment on wes-2022-71', Anonymous Referee #2, 15 Sep 2022

Regis Thedin et al.

Regis Thedin et al.


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Short summary
We investigate coherence and correlation and highlight their importance for disciplines like wind energy structural dynamic analysis, in which blade loading and fatigue depend on turbulence structure. We compare coherence estimates to those computed using a model suggested by international standards. We show the differences and highlight additional information that can be gained using LES, supporting its use to further improve analytical coherence models used in synthetic turbulence generators.