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Volume 16, Issue 3
A New Unified Form of Universal Wall Function

Mingze Ma, Fanzhi Zeng & Chao Yan

Adv. Appl. Math. Mech., 16 (2024), pp. 589-607.

Published online: 2024-02

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  • Abstract

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.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-16-589, author = {Ma , MingzeZeng , 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0037}, url = {http://global-sci.org/intro/article_detail/aamm/22930.html} }
TY - JOUR T1 - A New Unified Form of Universal Wall Function AU - Ma , Mingze AU - Zeng , Fanzhi AU - Yan , Chao JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 589 EP - 607 PY - 2024 DA - 2024/02 SN - 16 DO - http://doi.org/10.4208/aamm.OA-2022-0037 UR - https://global-sci.org/intro/article_detail/aamm/22930.html KW - Eddy viscosity models, wall function, zero pressure gradient. AB -

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.

Mingze Ma, Fanzhi Zeng & Chao Yan. (2024). A New Unified Form of Universal Wall Function. Advances in Applied Mathematics and Mechanics. 16 (3). 589-607. doi:10.4208/aamm.OA-2022-0037
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