  The paper is devoted to the generalized wall functions of Robin-type and
their application to near-wall turbulent flows. The wall functions are based on
the transfer of a boundary condition from a wall to some intermediate boundary
near the wall. The boundary conditions on the intermediate boundary are of
Robin-type and represented in a differential form. The wall functions are
formulated in an analytical easy-to-implement form, can take into account the
source terms of the momentum equation, and do not include free parameters. The
log-profile assumption is not used in this approach. A robust numerical
algorithm is proposed for implementation of Robin-type wall functions to both
finite-difference and finite-volume numerical schemes. The algorithm of
implementation of the Robin-type wall functions to existing finite-volume codes
is provided. The axisymmetric impinging jet problem is numerically investigated
for different regimes on the base of the wall-functions implemented to the
high-Reynolds-number k-epsilon model.
