This paper presents a study on the turbulence model with regard to the numerical implementation of the ω boundary condition at a solid wall, where ω tends to infinity. Three different implementations are tested in the calculation of a simple two-dimensional turbulent flow over a flat plate. Grid refinement studies in grids with different near-wall grid line spacings are performed to assess the numerical uncertainty of the predicted drag coefficient The results are compared with the predictions of several alternative algebraic, one-equation, and two-equation eddy-viscosity turbulence models. For the same level of grid refinement, the estimated uncertainty of obtained with the model is one order of magnitude larger than for all the other models.
On the Grid Sensitivity of the Wall Boundary Condition of the k-ω Turbulence Model
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division September 9, 2003; revised manuscript received May 26, 2004. Review conducted by: T. Gatski.
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Ec¸a, L., and Hoekstra, M. (March 11, 2005). "On the Grid Sensitivity of the Wall Boundary Condition of the k-ω Turbulence Model ." ASME. J. Fluids Eng. November 2004; 126(6): 900–910. https://doi.org/10.1115/1.1845492
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