Abstract
In this paper we present a numerical wall function method for the simulation of isothermal flows with separation and reattachment based on the Reynolds averaged Navier-Stokes equations using an unstructured flow solver. The method is applied to the one-equation turbulence model by Spalart and Allmaras and is implemented in OpenFOAM®;. For each wall node, a system of one-dimensional boundary-layer equations for the wall-parallel velocity component and for the turbulence quantity is integrated numerically on an embedded sub-grid in the near-wall region. The method is applied to the flow over a flat plate, over a backward facing step, and over a smoothly contoured ramp. The improvement of the results compared to universal wall functions become significant in case of separation and reattachment.
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Acknowledgements
The authors are grateful to Profs. Rossow and Radespiel and to Dr. Sundermeier for valuable discussions and to Prof. Eaton for providing the experimental data.
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Knopp, T., Spallek, F., Frederich, O., Rapin, G. (2015). Investigation of Numerical Wall Functions Based on the 1D Boundary-Layer Equations for Flows with Significant Pressure Gradient. In: Knobloch, P. (eds) Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014. Lecture Notes in Computational Science and Engineering, vol 108. Springer, Cham. https://doi.org/10.1007/978-3-319-25727-3_9
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DOI: https://doi.org/10.1007/978-3-319-25727-3_9
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