English

Effects of sweeps and ejections on amplitude modulation in a turbulent channel flow

Fluid Dynamics 2021-09-21 v1

Abstract

Conditional averages are used to evaluate the effect of sweeps and ejections on amplitude modulation. This is done numerically with a direct numerical simulation (DNS) of a channel flow at friction Reynolds number Reτ=1000Re_{\tau} = 1000 in a minimal stream-wise unit (MSU). The amplitude-modulation map of such DNS is also compared to the one of a regular channel flow in a longer streamwise domain (LSD), in order to assess its validity for this study. The cheaper MSU is found to provide a good representation of the modulation phenomena in the LSD. As for conditional averages, the amplitude-modulation coefficient is conditioned on the sign of the large-scale fluctuations. Care must be exerted in defining such a coefficient, as the conditioned large-scale fluctuation has non-zero average, indeed as a consequence of conditioning. Both sweeps and ejections (positive and negative large-scale fluctuation events) are found to have a positive contribution to amplitude modulation in the buffer layer, and a negative one in the outer layer. The negative-modulation region is found to shrink in case of ejections, so that the positive-modulation region extends farther away from the wall. Two more conditional statistics are used to provide an alternative representation of amplitude modulation and insights into the characteristics of the large-scale structures.

Keywords

Cite

@article{arxiv.2109.09486,
  title  = {Effects of sweeps and ejections on amplitude modulation in a turbulent channel flow},
  author = {A. Andreolli and D. Gatti and R. Vinuesa and R. Örlü and P. Schlatter},
  journal= {arXiv preprint arXiv:2109.09486},
  year   = {2021}
}