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arXiv · 1511.00989

On the emergence of the Navier-Stokes-$α$ model for turbulent channel flows

Ciprian Foias·Jing Tian·Bingsheng Zhang
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Abstract

In a series of papers (see \cite{CDT02} and the pertinent references therein) the 3D Navier-Stokes-$α$ model were shown to be a useful complement to the 3D Navier-Stokes equations; and in particular, to be a good Reynolds version of the latter equations. In this work, we introduce a simple Reynolds averaging which, due to the wall roughness, transforms the Navier-Stokes equations into the Navier-Stokes-$α$ model.

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Ciprian Foias, Jing Tian, Bingsheng Zhang. 2015-11-04. On the emergence of the Navier-Stokes-$α$ model for turbulent channel flows. https://doi.org/10.1063/1.4960750

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