# Glossary¶

Symbol Definition Unit
$$D$$ Turbine rotor diameter (fixed parameter, $$D=27$$ m) m
$$t$$ Time s
$$t_*$$ Integral time scale computed from time series at a point s
$$x, y, z$$ Spatial coordinates, where $$x$$ is aligned with the mean wind m
$$n_t,n_x,n_y,n_z$$ Number points in time and space dimensions -
$$u$$ Wind vector component along $$x$$ m/s
$$v$$ Wind vector component along $$y$$ m/s
$$w$$ Wind vector component along $$z$$ m/s
$$U$$ Magnitude of horizontal wind speed vector m/s
$$v_{los}$$ Wind vector component along the line of sight of each lidar beam m/s
$$\beta$$ Direction of horizontal wind speed vector deg
$$\Delta \beta$$ Veer computed at fixed $$(x,y)$$ from two distinct $$z$$ points deg
$$TI$$ Turbulence intensity computed over a 10-min period from horizontal wind speed %
$$\alpha$$ Power law exponent derived from $$U(z=10~\mathrm{m})$$ and $$U(z=58~\mathrm{m})$$ -
$$u_*$$ Friction velocity m/s
$$\theta$$ Potential temperature K
$$\theta_v$$ Virtual potential temperature K
$$\overline{w'\theta_v'}$$ Kinematic vertical turbulent heat flux K m/s
$$L$$ Obukhov length m
$$z_0$$ Roughness length m
$$z_i$$ Atmospheric boundary layer height m
$$\overline{q}$$ Temporal average of variable $$q$$ unit of $$q$$
$$\langle q \rangle$$ Ensemble average of variable $$q$$ unit of $$q$$
$$q'$$ Temporal perturbation of variable $$q$$, defined as $$q-\overline{q}$$ unit of $$q$$
$$q_{hub}$$ Variable $$q$$ evaluated at hub height unit of $$q$$
$$\sigma_q$$ Standard deviation of some quantity $$q$$ (over time, space, or an ensemble) unit of $$q$$
$$q_{rotor}$$ Variable $$q$$ evaluated across the rotor in the vertical direction unit of $$q$$
$$q_{wake}$$ Variable $$q$$ evaluated in the wake unit of $$q$$
$$P$$ Generator power W
$$M_y$$ Out-of-plane bending moment evaluated at the blade root (==flapwise moment) N m
$$M_x$$ In-plane bending moment evaluated at the blade root (==edgewise moment) N m