the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Investigating wake reproduction of a model-scale wind turbine: experimental measurements versus Large Eddy Simulation with actuator line
Abstract. Accurate modeling of wind turbine wakes is essential for understanding turbine performance, wake interactions, and structural loading in wind energy applications. This work presents both numerical and experimental investigations aimed at evaluating the strengths and limitations of the Actuator Line Method (ALM) for wind turbine simulations in a controlled environment. Wind tunnel experiments were conducted using a purpose-built small-scale turbine TWIST (Turbine for Wind-tunnel Investigation & Scaled Testing) to provide high-resolution measurements of near wake velocity and blade deflection. In parallel, a numerical study was carried out using an ALM model developed with a force distribution designed to avoid averaging along the blade length in order to better capture variations in the near tip and hub regions. The inflow conditions in the simulations were carefully matched to the experimental profiles of mean velocity and turbulence intensity, ensuring that discrepancies would be mostly attributed to the modeling rather than to differences in inflow representation. Comparative analyzes between simulations and experiments were performed to assess the model’s ability to capture key near-wake features. Additionally, the influence of blade pitch angle on wake development was explored numerically. The blade deflection was analyzed both numerically and experimentally to evaluate the coupling between aerodynamic loading and structural response. The results show that the ALM, combined with distributing the hub drag over a Gaussian ellipsoid, is able to reproduce the main characteristics of the wake at 1.4 rotor diameter downstream, including the velocity deficit and the sharp transition between the wake and the free stream. Wake results at 4.35 diameter are also presented and are in line with the experiment, except very near the ground. Overall, the combined experimental and numerical approach provides valuable insight into the predictive capability of the ALM and its applicability for wind turbine modeling in controlled conditions.
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Status: final response (author comments only)
- RC1: 'Comment on wes-2025-242', Anonymous Referee #1, 02 Jan 2026
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RC2: 'Comment on wes-2025-242', Anonymous Referee #2, 02 Feb 2026
The manuscripts presents a combined experimental and numerical approach to the description of a wind turbine wake. In particular, experiments performed with ta turbulent boundary layer are used to validate an actuator line model of the same turbine. The results are promising in terms of overall agreement between the two approaches. The use of a high-order spectral method to solve the N-S equations coupled with an actuator line model is an interesting prospect. However, the manuscript lacks crucial details that significantly hamper it’s long term impact. Some comments below:
- The main concern is the scarce amount of details provided regarding the numerical setup and the corresponding lack of any independence study. This is a crucial aspect as a CFD code that uses high-order spectral decomposition rather than “traditional” finite difference is used. “standard” best practices for actuator line models require 80-120 spanwise elements per blade. The kernel size is typically refined based on how many elements are used, with finer grids allowing for smaller and more realistic projection kernels. This ammount of discretizaion may still not be enough to correctly resolve the tip vortices (see: https://doi.org/10.1016/j.compfluid.2024.106477). Based on the information provided in section 3.1 a lot less elements were used to discretize the rotor area. While not directly comparable, authors performing ALM LES on scaled models using finite difference used orders of magnitude more cells (https://iopscience.iop.org/article/10.1088/1742-6596/2767/5/052050, https://doi.org/10.5194/wes-10-1707-2025). Especially because this is, in my understanding, the first time this ALM setup is presented, the quality of the results is hard to judge without grid independence and a comparison to the established literature, even if a different method to solve the N-S equations is used.
- A second major issue is the lack of a comparison between experiment and simulations in total thrust or power. Similar wake characteristics can arise because of different levels of power extraction.
- The scope of the manuscript does not appear to be crystal clear. If the focus is on validation why does the pitch angle in simulations not match the one in experiments? On the other hand if the scope is to study the influence of pitch angle, the gap that the manuscript is trying to fill should be better motivated. Moreover, experiments with a full rotor model and ABL are not easy to come across. This could be a major selling point for the study if better explained.
- No details regarding how the airfoil coefficients used in the numerical model are derived are provided beyond Figure 17. Crucial details are missing such as the Reynolds number and the Ncrit that was used in XFoil. The NCrit value influences where transition occurs, which in turn can influence the airfoils performance significantly at low Reynolds numbers. I would expect the Ncrit value to be tuned according to the TI level in the wind tunnel
- Where any steps taken to control the surface finish of the blade? This can influence BL transition and 3D printing usually generates quite rough surfaces.
- No details are provided regarding the turbulence model
- How long do the simulations run? What is the timestep? Statistical convergence must be accounted for in scale-resolving simulations
- The ALM description also lacks crucial information. For instance, what strategy was used to sample the velocity in the flowfield? How many actuator points are used? What is the actual width of the kernel compared to the grid (eq. 10).
- Are all experiments performed with 0° of blade pitch? Why compare to +1° and -3° in numerical simulations? Moreover, there seems to be higher thrust force extraction at the rotor edges, which may suggest inaccuracies in the tip-loss modelling.
- Figure 23: Are the forces time-averaged? Why is a certain instant considered over another? Moreover, profiles are much smoother at the tip, what is this caused by? We are also not seeing the classical decline in axial forces close to the tip. This could be due to inaccuracies in tip effect modelling, or due to the large chord near the blade tip in the model, which does not feature taper as typical blades would.
Citation: https://doi.org/10.5194/wes-2025-242-RC2 -
AC1: 'Comment on wes-2025-242: final response', Emmanuel Gillyns, 27 May 2026
We thank both anonymous reviewers for their valuable comments and constructive suggestions, which helped us improve and clarify the manuscript. We believe these revisions have strengthened the quality of our work. Please find attached our responses to the reviewers’ comments.
Emmanuel Gillyns, on behalf of all co-authors.
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Investigating wake reproduction of a model-scale wind turbine: Experimental measurements versus Large Eddy Simulation with actuator line.
General comments:
The authors present a LES framework (Nek5000) for a model-scale wind turbine in an atmospheric boundary-layer wind tunnel, with two main methodological components: (i) a recycling–inflow strategy augmented by a controller-based volume forcing, and (ii) an extended actuator line method (ALM) that represents blades, tower, and nacelle. The manuscript is well written, and the documentation of the experimental setup, LES validation, and uncertainty assessment is valuable for reproducibility. The authors also provide quantitative validation of wake profiles at two downstream locations. Overall, the work is technically competent and scientifically sound. However, several central claims require stronger supporting evidence before the work can be recommended for publication.
Specific comments
Technical corrections