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Turbulent Channel Flow: Direct Numerical Simulation-Data-Driven Modeling
Version 1
: Received: 6 February 2024 / Approved: 6 February 2024 / Online: 7 February 2024 (02:11:42 CET)
A peer-reviewed article of this Preprint also exists.
Liakopoulos, A.; Palasis, A. Turbulent Channel Flow: Direct Numerical Simulation-Data-Driven Modeling. Fluids 2024, 9, 62. Liakopoulos, A.; Palasis, A. Turbulent Channel Flow: Direct Numerical Simulation-Data-Driven Modeling. Fluids 2024, 9, 62.
Abstract
Data obtained by Direct Numerical Simulations (DNS) of pressure-driven turbulent channel flow are studied in the range 180 ≤ Reτ≤ 10,000. Reynolds number effects on the Mean Velocity Profile (MVP) and second order statistics are analyzed with a view of finding logarithmic behavior in the overlap region or even further from the wall, well in the boundary layer’s outer region. Values of Kármán constant for the MVPs and the Townsend-Perry constants for the streamwise and spanwise fluctuation variances are determined for the Reynolds numbers considered. A data-driven model of the MVP, proposed and validated for zero pressure gradient flow over a flat plate, is employed for pressure-driven channel flow by appropriately adjusting Coles’ strength of the wake function parameter, Π. There is excellent agreement between the analytic model predictions of MVP and the DNS-computed MVP as well as of the Reynolds shear stress profile. The skin friction coefficient Cf is calculated analytically. The agreement between the analytical model predictions and the DNS-based computed discrete values of Cf is excellent.
Keywords
Wall-bounded turbulence; turbulent boundary layers; higher order statistics; Direct Numerical Simulation (DNS)
Subject
Engineering, Mechanical Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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