Preprints
https://doi.org/10.5194/wes-2025-287
https://doi.org/10.5194/wes-2025-287
12 Jan 2026
 | 12 Jan 2026
Status: this preprint is currently under review for the journal WES.

A Computational Fluid Dynamics surrogate model for wind turbine interaction including atmospheric stability

Maarten Paul van der Laan, Alexander Meyer Forsting, and Pierre-Elouan Réthoré

Abstract. Wind turbine wake and blockage effects can reduce the energy yield in wind farms and fast models are required to mitigate these effects by wind farm layout optimization. However, most fast models do not account for important physics that impact wake and blockage effects, as for example atmospheric stability. In this work, we propose a surrogate model of a Reynolds-averaged Navier-Stokes (RANS) wind farm model including atmospheric surface layer stability that is about five orders of magnitude faster than the original model. The surrogate model is based on a single wake database of stream-wise velocity deficit and wake-added turbulence intensity, generated by a RANS model. The surrogate model is evaluated against the RANS model for different inflow conditions and wind farms. The errors of the surrogate model are reduced by a factor two to four when taking into account wake-added turbulence intensity and the use of a rotor-averaging model in combination with a momentum-based wake superposition method. However, the computational effort of the surrogate model is still an order of magnitude larger compared to traditional engineering wake models and more research is required to reduce it.

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Maarten Paul van der Laan, Alexander Meyer Forsting, and Pierre-Elouan Réthoré

Status: open (until 09 Feb 2026)

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Maarten Paul van der Laan, Alexander Meyer Forsting, and Pierre-Elouan Réthoré
Maarten Paul van der Laan, Alexander Meyer Forsting, and Pierre-Elouan Réthoré
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Short summary
Wind turbine interaction can lead to energy losses. This article introduces a fast open source wind turbine interaction model that can be used to design energy efficient wind farms including effects of atmospheric turbulence and temperature. The model can inherit the accuracy of a higher fidelity model while being about five orders of magnitude faster. However, the model is an order of magnitude slower than analytic wind turbine interaction models, and more research is needed to reduce it.
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