@Article{AAMM-16-3,
author = {Mingze, Ma and Zeng, Fanzhi and Yan, Chao},
title = {A New Unified Form of Universal Wall Function},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {3},
pages = {589--607},
abstract = {<p style="text-align: justify;">A new form of universal wall function is proposed in this work, which can
be applied to a variety of eddy viscosity models including one-equation models and
two-equation models. The new wall function approximates the analytical results of the
Spalart-Allmaras turbulence model in the near wall region of the zero pressure gradient incompressible turbulent boundary layer. This approximate form can be applied
as a unified eddy-viscosity-based wall function and a concise unified wall function of
velocity distribution is proposed after integration. On this basis, the grid Reynolds
number is introduced and a function for judging the position of the first layer grid is
given. The new wall function is validated using the NACA0012 and the axisymmetric
separated boundary layer. It is proved that the wall function is accurate and universal,
and the grid requirements are lower in applications.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0037},
url = {https://global-sci.com/article/90862/a-new-unified-form-of-universal-wall-function}
}