  The DFT/vdW-WF2s1 method based on the generation of localized Wannier
functions, recently developed to include the van der Waals interactions in the
Density Functional Theory and describe adsorption processes on metal surfaces
by taking metal-screening effects into account, is applied to the case of the
interaction of Xe with noble-metal surfaces, namely Ag(111), Au(111), and
Cu(111). The study is also repeated by adopting the DFT/vdW-QHO-WF variant
relying on the Quantum Harmonic Oscillator model which describes well many-body
effects. Comparison of the computed equilibrium binding energies and distances,
and the $C_3$ coefficients characterizing the adatom-surface van der Waals
interactions, with available experimental and theoretical reference data shows
that the methods perform well and elucidate the importance of properly
including screening effects. The results are also compared with those obtained
by other vdW-corrected DFT schemes, including PBE-D, vdW-DF, vdW-DF2, rVV10,
and by the simpler Local Density Approximation (LDA) and semilocal (PBE)
Generalized Gradient Approximation (GGA) approaches.
