Preprints
https://doi.org/10.5194/wes-2026-71
https://doi.org/10.5194/wes-2026-71
29 May 2026
 | 29 May 2026
Status: this preprint is currently under review for the journal WES.

Investigation of higher order statistics in wind turbine wakes using Large Eddy Simulations

Marcel Bock and Joachim Peinke

Abstract. Large eddy simulation (LES) of the turbulent wake behind a wind turbine is employed to obtain a more complete statistical characterisation. Both one- and two-point statistics are therefore considered, including velocity increments. The downstream evolution of the wake size is determined by different statistical quantities, including the intermittency ring. Higher-order statistics show that the wake expands beyond the region commonly defined using the mean wind speed. Regarding the numerical simulations, a new method is introduced to reduce the computational cost of high-resolution wake simulations.

Competing interests: At least one of the (co-)authors is a member of the editorial board of Wind Energy Science.

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Marcel Bock and Joachim Peinke

Status: open (until 26 Jun 2026)

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Marcel Bock and Joachim Peinke
Marcel Bock and Joachim Peinke
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Short summary
This work describes the wake using higher-order statistics derived from numerical simulations (by using one- and two-point statistics, including velocity increments). This demonstrates the existence of the intermittent ring outside the averaged velocity deficit. Furthermore, a novel method is presented that enables the efficient simulation of turbulent wakes.
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