Effects of wind veer on a yawed wind turbine wake in atmospheric boundary layer flow

Large eddy simulations (LESs) are used to study the effects of veer (the height-dependent lateral deflection of wind velocity due to Coriolis acceleration) on the evolution of wind turbine wakes in the atmospheric boundary layer. Specifically, this work focuses on turbines that are yawed with respect to the mean incoming wind velocity, which produces laterally deflected wakes that have a curled (crescent-shaped) structure. These effects can be attributed to the introduction of streamwise mean vorticity and the formation of a counter-rotating vortex pair (CVP) on the top and bottom of the wake. In a truly neutral boundary layer (TNBL) in which wind veer effects are absent, these effects can be captured well with existing analytical wake models [Bastankhah et al., J. Fluid Mech. 933, A2 (2022)]. However, in the more realistic case of atmospheric boundary layers subjected to Coriolis acceleration, existing models need to be reexamined and generalized to include the effects of wind veer. To this end, the flow in a conventionally neutral atmospheric boundary layer (CNBL) interacting with a yawed wind turbine is investigated in this paper. Results indicate that in the presence of veer the CVP's top and bottom vortices exhibit considerable asymmetry. However, upon removing the veer component of vorticity, the resulting distribution is much more symmetric and agrees well with that observed in a TNBL. These results are used to develop a simple correction to predict the mean velocity distribution in the wake of a yawing turbine in a CNBL using analytical models. The correction includes the veer-induced sideways wake deformation, as proposed by Abkar et al. [Energies 11, 1838 (2018)]. The resulting model predictions are compared with mean velocity distributions from the LESs, and good agreement is obtained.