Large-eddy simulations (LES) of the unstably stratified dry convective atmospheric boundary layer are reported. The flow is driven by heating from the bottom and a geostrophic wind is imposed on the top. LES of this configuration are performed using a high-fidelity code with a state-of-the-art subrid-scale model. Results of a previously studied configuration are reproduced and excellent agreement is obtained with previously published results. For a fixed geostrophic wind speed and varying heat flux at the bottom wall, the flow structures show distinct patterns in their planform organization. The flow structures transition from convective rolls at low surface heating to convective cells for large surface heat fluxes. The eddy-diffusivity mass-flux (EDMF) parameterization, which has been developed for zero geostrophic wind, is evaluated using the LES data. We find that the EDMF parameterization needs a correction to be able to quantitatively match the LES results. Quadrant analysis is performed based on the vertical heat flux and its results suggest that the corrections required to the EDMF parameterization may be correlated with a portion of the cold updraft and warm downdraft events.