Abstract
In computational fluid dynamics, continuous formulations of the boundary layer velocity profile are essential for the accurate treatment of solid boundaries in complex applications. This paper is concerned with such a continuous formulation for flows with adverse pressure gradient. The profile blends from the analytical solution for the viscous sublayer to a half-power law using a van-Driest-type damping function; in the case of a vanishing pressure gradient, the law of the wall by Reichhardt is retained.
The method is implemented in the CFD solver TRACE and applied to the flow over a flat plate with increasingly adverse pressure gradient and to the flow over a subsonic compressor cascade.
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Röber, T. (2013). Continuous Formulation of Wall Function with Adverse Pressure Gradient. In: Dillmann, A., Heller, G., Kreplin, HP., Nitsche, W., Peltzer, I. (eds) New Results in Numerical and Experimental Fluid Mechanics VIII. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35680-3_49
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DOI: https://doi.org/10.1007/978-3-642-35680-3_49
Publisher Name: Springer, Berlin, Heidelberg
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