Compressibility Correction to the k−ω Turbulence Model that Considers the Wall-Cooling Effect
Year: 2025
Type: erratum
Abstract: In supersonic and hypersonic flows, the near-wall density variation due to wall cooling poses a challenge for accurately predicting the near-wall velocity and temperature profiles using classical eddy viscosity turbulence models. Compressible turbulent boundary layers are known to follow the universal wall law via semilocal transformation. However, developing a turbulence model that predicts a velocity profile, which, via semilocal transformation, follows the universal wall law, remains challenging. The current paper builds upon Danis–Durbin’s practice of modifying the [Formula: see text] equation and proposes a simple modification to the [Formula: see text] two-equation model. The formulation of the proposed modification involves dimensional analysis and the proper selection of the local length scale. The newly introduced modification is used to modify the slope of the velocity profile starting from the viscous layer to above. It recovers a semilocal scaling of turbulent kinetic energy, viscosity, and eddy frequency, then achieves a very decent correction of the velocity profile in compressible turbulent channel flows, satisfying the universal wall law after applying Trettel and Larsson’s transformation. The proposed new [Formula: see text] model can also improve the velocity and temperature predictions in strongly wall-cooled zero-pressure-gradient hypersonic turbulent boundary layers, compared to the original [Formula: see text] model. Validation using the favorable and adverse pressure gradient boundary layers suggests that the model does not impose a negative effect on the original [Formula: see text] model.
Source: AIAA Journal
DOI: 10.2514/1.j065875
Author: Zifei Yin
Institution: Shanghai Jiao Tong University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Award: G3865462604
OpenAlex ID: W4415112971