@article{SONG2025, 
author = {Hanqi SONG and Mingze MA and Jinrong ZHANG and Yifan LI and Chao YAN},
title = {A production term correction for Menter shear-stress transport turbulence model for adverse pressure gradient flows before separation},
year = {2025},
journal = {Chinese Journal of Aeronautics},
volume = {38},
number = {5},
keywords = {Early separation problem, Adverse pressure gradient, Turbulence models, Production term, Gaussian function, Boundary layer flow},
url = {https://www.sciopen.com/article/10.1016/j.cja.2024.103341},
doi = {10.1016/j.cja.2024.103341},
abstract = {To address the early separation problem in the Menter Shear-Stress Transport (SST) turbulence model, a correction for the Turbulent Kinetic Energy (TKE) production term, Pk, is introduced to account for the effect of the Adverse Pressure Gradient (APG). The correction is determined based on the distribution of Pk in the APG region before separation. When the friction coefficient Cf is decomposed, its direct dependence on Pk is clearly observed. However, with the introduction of Bradshaw’s assumption, Pk in the SST turbulence model is over-suppressed, resulting in a lower inner peak or no significant inner peak distribution at all. To address this problem, this paper proposes a Gaussian function, HGauss, which corrects the numerical values of Pk involved in the calculation of the Menter SST model by focusing on the inner peak region of Pk. The modified SST model is then applied to four cases with APGs. The modification leads to an increase in the wall friction coefficient Cf in the APG region and causes a downstream shift in the separation location, improving the model’s consistency with high-accuracy data and experimental results. It is demonstrated that this correction can improve the early separation problem in the Menter SST turbulence model.}
}