Turbulence Modelling in Wind Turbine Wakes =Modélisation de la turbulence dans les sillages des éolienne

With the expansion of the wind energy industry, wind parks have become a common appearance in our landscapes. Owing to restrictions of space or to economic reasons, wind turbines are located close to each other in wind farms. This causes interference problems which reduce the efficiency of the array. In particular, the wind turbine wakes increase the level of turbulence and cause a momentum defect that may lead to an increase of mechanical loads and to a reduction of power output. Thus, it is important for the wind energy industry to predict the characteristics of the turbulence field in the wakes with the purpose of increasing the efficiency of the power extraction. Since this is a phenomenon of intrinsically non-linear nature, it can only be accurately described by the full set of the Navier-Stokes equations. Furthermore, a proper characterization of turbulence cannot be made without resolving the turbulent motions, so neither linearized models nor the widely used Reynolds-Averaged Navier-Stokes model can be employed. Instead, Large-Eddy Simulations (LES) provide a feasible alternative, where the energy containing fluctuations of the velocity field are resolved and the effects of the smaller eddies are modelled through a sub-grid scale component.;The objective of this work is the modelling of turbulence in wind turbine wakes in a homogeneous turbulence inflow. A methodology has been developed to fulfill this objective. Firstly, a synthetic turbulence field is introduced into a computational domain where LES are performed to simulate a decaying turbulence flow. Secondly, the Actuator Disk (AD) technique is employed to simulate the effect of a rotor in the incoming flow and produce a turbulent wake. The implementation is carried out in OpenFOAM, an open-source CFD platform, resembling a well documented procedure previously used for wake flow simulations. Results obtained with the proposed methodology are validated by comparing with values obtained from wind tunnel experiments. In addition, simulations are also carried out with EllipSys3D, a code widely used and tested for computations of wind turbine wakes, the results of which provide a useful reference. Despite a limited grid resolution with respect to the size of the inflow turbulence structures, the results show that the turbulence characteristics in both the decaying turbulence and in the wake field are aptly reproduced. These observations are accompanied by an assessment of the LES modelling, which is found to be adequate in the simulations. An analysis of the longitudinal evolution of the turbulence lengthscales shows that within the wake, they develop mostly as in the free decaying turbulence. Furthermore, both codes predict that the lengthscales of the ambience turbulence dominate across the wake, with little effect caused by the shear layer at the wake envelope. These remarks are supported by an examination of features in the energy spectra along the wake.;Also in this thesis, the wake turbulence fields produced by two different AD models are compared: a uniformly loaded disk and a model that includes the effects of tangential velocities and considers airfoil blade properties. The latter includes a rotational velocity controller to simulate the real conditions of variable speed turbines. Results show that the differences observed between the models in the near wake field are reduced further downstream. Also, it is seen that these disparities decrease when a turbulent inflow is employed, in comparison with the non-turbulent case. These observations confirm the assumption that uniformly loaded disks are adequate to model the far wake. In addition, the control method is shown to adjust to the local inflow conditions, regulating the rotational speed accordingly, while the computed performance proves that the implementation represents well the modelled rotor design. The results obtained in this work show that the presented methodology can succesfuly be used in the modelling and analysis of turbulence in wake flows.