What is it about?
A one--equation variant of a k-epsilon turbulence model based on the mean turbulent time scale T=k/epsilon-equation is developed to account for the effects of low--Reynolds number (LRN) and wall proximity.
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Why is it important?
The turbulent kinetic energy k is evaluated with an algebraically prescribed length scale having only one adjustable coefficient. The stress--intensity ratio R_b={uv}/k$ is devised as a function of local variables without resorting to a constant sqrt{C_\mu}=0.3. An anisotropic functionf_k is embedded in the eddy-viscosity mu_T to reduce its magnitude in the near--wall region. In this model, the parameter R_b included in the turbulence production P_k prevents the overestimation of P_k in flow regions where non-equilibrium effects may result in a misalignment between the turbulent stress and mean strain--rate common in a linear eddy--viscosity model.
Perspectives
A comparative assessment of the accuracy of the present model compared to the the Spalart--Allmaras (SA) one--equation model and the shear stress transport (SST) k-omega model is conducted for well--documented simple equilibrium and non--equilibrium turbulent flows. A good correspondence is found.
Docent Md Mizanur Rahman
Aalto University
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This page is a summary of: One-Equation Turbulence Model Based on k/e, January 2017, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/6.2017-0990.
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