31 May 2022
31 May 2022
Status: this preprint is currently under review for the journal WES.

Breakdown of the velocity and turbulence in the wake of a wind turbine – Part 1: large eddy simulations study

Erwan Jézéquel1,2, Frédéric Blondel1, and Valéry Masson2 Erwan Jézéquel et al.
  • 1IFP Energies nouvelles, 1-4 Avenue de Bois Préau, Rueil-Malmaison, France
  • 2Centre National de Recherches Météorologiques, 42 avenue Gaspard Coriolis, Toulouse, France

Abstract. A new theoretical framework, based on wake analysis in the moving and fixed frames of reference (MFOR and FFOR), is proposed to break down the velocity and turbulence fields in the wake of a wind turbine. This approach adds theoretical support to models based on the dynamic wake meandering (DWM) and opens the way for a fully analytical and physically-based model of the wake that takes meandering and atmospheric stability into account, which is developed in the companion paper. The mean velocity and turbulence in the FFOR are broken down into different terms, which are functions of the velocity and turbulence in the MFOR. These terms can be regrouped as pure velocity, pure meandering, pure turbulence and cross-terms, the last ones being implicitly neglected in the DWM. The shape and relative importance of the different terms are estimated with the large eddy simulation solver Meso-NH coupled with an actuator line method. A single wind turbine wake is simulated on flat terrain, under three cases of stability: neutral, unstable, and stable. In the velocity breakdown, the cross-term is found to be relatively low. This is not the case for the turbulence breakdown equation where even though they are overall of a lesser magnitude than the pure terms, the cross-terms redistribute the turbulence and induce non-negligible asymmetry. It is also found that as atmospheric stability increases, the pure turbulence contribution becomes relatively larger and pure meandering relatively smaller.

Erwan Jézéquel et al.

Status: open (until 04 Aug 2022)

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Erwan Jézéquel et al.

Data sets

Figures data from papers "Breakdown of the velocity and turbulence in the wake of a wind turbine", parts 1 and 2 Erwan Jézéquel

Erwan Jézéquel et al.


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Short summary
Wind turbine wakes affect the production and lifecycle of downstream wind turbines by modifying the mean velocity and turbulence, respectively. Wakes can be predicted with the dynamic wake meandering (DWM) method. In this paper authors broke down the velocity and turbulence in the wake of a wind turbine into several terms, and show that the underlying assumption in the DWM where some terms are neglected. With high-fidelity simulations, we show that this can lead to non-negligible errors.