

Article
Simulation and validation of a spatially evolving turbulent boundary layers up to Re_\theta = 8300
Authors: 
EitelAmor, G., Örlü, R., Schlatter, P. 
Document Type: 
Article 
Pubstate: 
Published 
Journal: 
Int. J. Heat and Fluid Flow 
Volume: 
47
5769 
Year: 
2014 
AbstractResults of a finely resolved largeeddy simulation (LES) of a spatially developing zeropressuregradient turbulent boundary layer up to a Reynolds number of Re_\theta=8300 are presented. The very long computational domain provides substantial assessment for suggested high Reynolds number (Re) trends. Statistics, integral quantities and spectral data are validated using high quality direct numerical simulation (DNS) ranging up to Re_\theta=4300 and hotwire measurements covering the remaining Rerange. The mean velocity, turbulent fluctuations, skin friction, and shape factor show excellent agreement with the reference data. Through utilisation of filtered DNS, subtle differences between the LES and DNS could to a large extent be explained by the reduced spanwise resolution of the LES. Spectra and correlations for the streamwise velocity and the wallshear stress evidence a clear scaleseparation and a footprint of large outer scales on the nearwall small scales. While the inner peak decreases in importance and reduces to 4% of the total energy at the end of the domain, the energy of the outer peak scales in outer units. In the nearwall region a clear k^1 region emerges. Consideration of the twodimensional spectra in time and spanwise space reveals that an outer time scale \lambda_t \approx 10 \delta_99/U_\infty, with the boundary layer thickness \delta_99 and freestream velocity U_\infty, is the correct scale throughout the boundary layer rather than the transformed streamwise wavelength multiplied by a (scale independent) convection velocity. Maps for the covariance of small scale energy and large scale motions exhibit a stronger linear Re dependence for the amplitude of the offdiagonal peak compared to the diagonal one, thereby indicating that the strength of the amplitude modulation can only qualitatively be assessed through the diagonal peak. In addition, the magnitude of the wallpressure fluctuations confirms mixed scaling, and pressure spectra at the highest Re give a first indication of a 7/3 wave number dependence.
http://dx.doi.org/10.1016/j.ijheatfluidflow.2014.02.006

