A review is presented on the application of LES to a simulation of turbulence in the atmospheric boundary layer. First we discuss some historical facts which are interesting from a general perspective because the field of turbulence simulation has its origin innumerical weather forecasting. Instead of giving a standard review of the technique of LES and its various details, we continue by first highlighting some successes of LES in the atmospheric boundary layer and then some failures. The successes are the simulation of the Convective Boundary Layer (CBL) and the Neutral Boundary Layer (NBL). The failures are the simulation of the horizontal velocity fluctuations and the behaviour of the skewness of vertical velocity fluctuations near the surface both in the CBL.
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