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Klingenberg, Dario (2025): A dataset of nonlinear optimals in turbulent channel flow [dataset]. PANGAEA, https://doi.org/10.1594/PANGAEA.983358

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Published: 2025-07-01DOI registered: 2025-07-31

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Abstract:
We investigate the energy transfer from the mean profile to velocity fluctuations in channel flow by calculating nonlinear optimal disturbances, i.e. the initial condition of a given finite energy that achieves the highest possible energy growth during a given fixed time horizon. It is found that for a large range of time horizons and initial disturbance energies, the nonlinear optimal exhibits streak spacing and amplitude consistent with DNS at least at Re_tau = 180, which suggests that they isolate the relevant physical mechanisms that sustain turbulence. Moreover, the time horizon necessary for a nonlinear disturbance to outperform a linear optimal is consistent with previous DNS-based estimates using eddy turnover time, which offers a new perspective on how some turbulent time scales are determined. In this dataset, the initial conditions and temporal evolutions of all calculated optimals are compiled, along with post-processing scripts.
Keyword(s):
nonlinear optimisation; turbulent channel flow
Parameter(s):
#NameShort NameUnitPrincipal InvestigatorMethod/DeviceComment
1Binary ObjectBinaryKlingenberg, DarioNumerical simulated
2Binary Object (File Size)Binary (Size)BytesKlingenberg, DarioNumerical simulated
3FigureFigKlingenberg, DarioNumerical simulated
4TitleTitleKlingenberg, DarioNumerical simulated
5File nameFile nameKlingenberg, DarioNumerical simulated
6VariableVariableKlingenberg, DarioNumerical simulated
Status:
Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)
Size:
64 data points

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