Anisotropic dynamics in filtered wall-turbulent flows
The most important contribution to the description of the energy transfer mechanism in the space of scales of turbulent flows is Kolmogorov theory. Under the assumption of isotropy, this theory asserts that the energy cascade in the inertial range is from large to small scales and proportional to the rate of energy dissipation. This picture is claimed to be universal since it is commonly assumed that isotropy recovery takes place at small scales of any flow for sufficiently high Reynolds number. This assumption fails to hold in wall-turbulence, where the interaction between anisotropic production and inhomogeneous spatial fluxes strongly modifies the classical energy cascade up to a reverse cascade (Marati et al., 2004).
KeywordsBuffer Layer Inertial Range Subgrid Scale Energy Cascade Energy Transfer Mechanism
Unable to display preview. Download preview PDF.
- 1.Marati, N., Casciola, C.M., Piva, R.: Energy cascade and spatial fluxes in wall turbulence. J. Fluid Mech. 521, (2004). Google Scholar
- 2.Hill, R.J.: Exact second-order structure-function relationships. J. Fluid Mech. 468, (2002). Google Scholar
- 3.Jiménez, J., Pinelli, A.: The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, (1999). Google Scholar
- 5.Cimarelli, A., De Angelis, E.: Analysis of the Kolmogorov equation for filtered wall-turbulent flows. Submitted to J. Fluid Mech. (2010) Google Scholar