Skip to Main content Skip to Navigation
Journal articles

Advanced spectral anisotropic modelling for shear flows

Abstract : In this work, the spectral modelling developed in MCS [Mons, Cambon, Sagaut. A spectral model for homogeneous shear-driven anisotropic turbulence in terms of spherically-averaged descriptors. J Fluid Mech. 2016;788:147-182] for shear-driven turbulence is further analysed and then improved. First, using self-similarity arguments, it is shown that the asymptotic kinetic energy exponential growth rate is independent of the large scales infrared slope sigma, with, unlike unstably stratified homogeneous turbulence where strongly depends on sigma. The MCS model relies on the truncation at the second order of the spectral two-point velocity correlation expansion into spherical harmonics. The expansion is here pursued at the next even order, the fourth one: the noteworthy consequence is that is decreased compared to MCS and is thus closer to values obtained in direct numerical simulations and experiments. Finally, some analytical considerations about odd-order contributions in the expansion of polarisation anisotropy are proposed.
Complete list of metadata

Cited literature [42 references]  Display  Hide  Download
Contributor : Olivier Boutin Connect in order to contact the contributor
Submitted on : Friday, April 26, 2019 - 3:02:01 PM
Last modification on : Tuesday, September 14, 2021 - 10:20:06 AM


Files produced by the author(s)



Antoine Briard, Benoît-Joseph Gréa, Vincent Mons, Claude Cambon, Thomas Gomez, et al.. Advanced spectral anisotropic modelling for shear flows. Journal of Turbulence, Taylor & Francis, 2018, 19 (7), pp.570-599. ⟨10.1080/14685248.2018.1478092⟩. ⟨hal-02112204⟩



Record views


Files downloads