A Simple And General Subgrid Model Suitable Both For Surface Layer And Free-Stream Turbulence

A new and general approach is presented to allow standard subgrid schemes to besuitable both for surface layer and free-stream turbulence. Simple modificationsto subgrid schemes are proposed and derived for any vertical stabilityconditions. They are simple to implement in models and are suitable for morecomplicated simulations such as large-eddy simulation with inhomogeneoussurface conditions or complex topography. They are also applicable to mesoscaleand large-scale models. These modifications are physically justified by recentmeasurements of spectra close to the ground. The spectral analysis presentedshows how the energy deficit of blocked turbulence for a given dissipation(`anomalous dissipation') dramatically affects the coefficients to be used insubgrid schemes. As shown for neutral and convective cases with wind shear,these changes allow us to substantially improve the prediction of profiles for themean quantities in the surface layer. Agreement with similarity laws in the unstablecase is found up to about 0.2z_i, for simulated shear, stabilityprofiles and dissipation rates of turbulent kinetic energy.