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Dataset for DNS-based characterization of pseudo-random roughness in minimal channels

Yang, Jiasheng ORCID iD icon 1; Stroh, Alexander 1; Chung, Daniel; Forooghi, Pourya
1 Institut für Strömungsmechanik (ISTM), Karlsruher Institut für Technologie (KIT)

Abstract:

Direct numerical simulation (DNSs) are used to systematically investigate applicability of minimal channel approach for characterization of roughness-induced drag in irregular rough surfaces. Roughness is generated mathematically using a random algorithm, in which the power spectrum (PS) and probability density function (PDF) of surface height function can be prescribed. 12 different combinations of PS and PDF are examined and both transitionally and fully rough regimes are investigated (roughness heights varies in the range $k^+$ = 25 -- 100).
It is demonstrated that both roughness function ($\Delta U^+$) and zero-plane displacement can be predicted within $\pm5\%$ accuracy using DNS in properly sized minimal channels. Notably, the predictions do not deteriorate when a limited range of large horizontal roughness scales are filtered out due to the small channel size (here up to 10\% of original roughness height spectral energy based on 2D PS). Additionally, examining the results obtained from different random realizations of roughness shows that a certain combination of PDF and PS leads to a nearly unique $\Delta U^+$ for deterministically different surface topographies.
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Zugehörige Institution(en) am KIT Institut für Strömungsmechanik (ISTM)
Publikationstyp Forschungsdaten
Publikationsdatum 12.05.2022
Erstellungsdatum 01.07.2021
Identifikator DOI: 10.5445/IR/1000142136
KITopen-ID: 1000142136
Lizenz Creative Commons Namensnennung 4.0 International
Schlagwörter DNS, Roughness, Minimal channel
Liesmich

These files contain the data used in the publication:

“DNS-based characterization of pseudo-random roughness in minimal channels”
J. Yang, A. Stroh, D. Chung and P. Forooghi
published in Journal of Fluid Mechanics
doi:10.1017/jfm.2022.331

Numerical Details:

The carried out DNS is based on a pseudo-spectral solver for incompressible boundary layer flows developed at KTH/Stockholm. The Navier-Stokes equations are numerically integrated using the velocity-vorticity formulation by a spectral method with Fourier decomposition in the horizontal directions and Chebyshev discretization in the wall-normal direction. For temporal advancement, the convection and viscous terms are discretized using the 3rd order Runge-Kutta and Crank-Nicolson methods, respectively. The simulation domain represents an turbulent channel flow with periodic boundary conditions applied in streamwise and spanwise directions, while the wall-normal extension of the domain is bounded by no-slip boundary conditions at the upper and lower domain wall. The flow is driven by a prescribed constant pressure gradient (CPG). The friction Reynolds number for the present case is fixed to Re_τ = 500. The structured surface is introduced through an immersed boundary method (IBM) based on the method proposed by Goldstein et al. (1993) and is essentially a proportional controller which imposes zero velocity in the solid region of the numerical domain.

Data Files:

The data files are saved and labeled in *.mat files. Each file contains MATLAB data consisting of the roughness height distribution and corresponding coordinates. The roughness structures are non-dimensionalized with the channel half height δ.

Reference:

Please provide a reference to the article above when using this data.
Please direct questions regarding numerical setup/data to Jiasheng Yang (jiasheng.yang@kit.edu)

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