  We present a Density Functional Theory (DFT) study of the structural and
electronic properties of bare rutile VO$_{2}$(110) surfaces and its oxygen-rich
terminations. We discuss the performance of various DFT functionals, including
PBE, PBE+U (U = 2 eV), SCAN and SCAN+rVV functionals with non-magnetic and
ferromagnetic spin ordering. We predict the presence of a ring-like termination
that is electronically and structurally related to a V$_{2}$O$_{5}$(001)
monolayer and shows a higher stability than pure oxygen adsorption phases.
Despite the fact that the calculated phase stabilities depend on the chosen
functional, our results show that employing the spin-polarized SCAN functional
offers a good compromise yielding both a reasonable description of the
structural and electronic properties of the rutile VO$_{2}$ bulk phase and the
enthalpy of formation for different stages of vanadium oxidation.
