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Preservation of statistical properties in large-eddy simulation of shear turbulence

handle: 2108/35041
We discuss how large-eddy simulation (LES) can be properly employed to predict the statistics of the resolved velocity fluctuations in shear turbulence. To this purpose ana posterioricomparison of LES data against filtered direct numerical simulation (DNS) is used to establish the necessary conditions that the filter scaleLFmust satisfy to achieve the preservation of the statistical properties of the resolved field. In this context, by exploiting the physical role of the shear scaleLS, the Kármán–Howarth equation allows for the assessment of LES data in terms of scale-by-scale energy production, energy transfer and subgrid energy fluxes. Even higher-order statistical properties of the resolved scales such as the probability density function of longitudinal velocity increments are well reproduced, provided the relative position of the filter scale with respect to the shear scale is properly selected. We consider here the homogeneous shear flow as the simplest non-trivial flow which fully retains the basic mechanism of turbulent kinetic energy production typical of any shear flow, with the advantage that spatial homogeneity implies a well-defined value of the shear scale while numerical difficulties related to resolution requirements in the near wall region are avoided.
- Roma Tre University Italy
- Sapienza University of Rome Italy
- University of Rome Tor Vergata Italy
- University of Rome Tor Vergata Italy
- University of Rome Tor Vergata Italy
Large eddy simulation, turbulence, Longitudinal velocity increment, energy flux, Turbulent flow, Shear flow, MODELLI E METODI MATEMATICI, Probability density function, Turbulent kinetic energy, Settore FIS/02 - FISICA TEORICA, numerical model, Kinetic energy, Statistical method, Direct numerical simulation
Large eddy simulation, turbulence, Longitudinal velocity increment, energy flux, Turbulent flow, Shear flow, MODELLI E METODI MATEMATICI, Probability density function, Turbulent kinetic energy, Settore FIS/02 - FISICA TEORICA, numerical model, Kinetic energy, Statistical method, Direct numerical simulation
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