Atsushi Sekimoto

Direct numerical simulation of statistically stationary and homogeneous shear turbulence and its relation to other shear flows

Statistically stationary and homogeneous shear turbulence (SS-HST) is investigated by means of a new direct numerical simulation code, spectral in the two horizontal directions and compact-finite-differences in the direction of the shear. No remeshing is used to impose the shear-periodic boundary condition. The influence of the geometry of the computational box is explored. Since HST has no characteristic outer length scale and tends to fill the computational domain, long-term simulations of HST are “minimal” in the sense of containing on average only a few large-scale structures. It is found that the main limit is the spanwise box width, Lz, which sets the length and velocity scales of the turbulence, and that the two other box dimensions should be sufficiently large (Lx ≳ 2Lz, Ly ≳ Lz) to prevent other directions to be constrained as well. It is also found that very long boxes, Lx ≳ 2Ly, couple with the passing period of the shear-periodic boundary condition, and develop strong unphysical linearized bursts. Within those limits, the flow shows interesting similarities and differences with other shear flows, and in particular with the logarithmic layer of wall-bounded turbulence. They are explored in some detail. They include a self-sustaining process for large-scale streaks and quasi-periodic bursting. The bursting time scale is approximately universal, ∼20S−1, and the availability of two different bursting systems allows the growth of the bursts to be related with some confidence to the shearing of initially isotropic turbulence. It is concluded that SS-HST, conducted within the proper computational parameters, is a very promising system to study shear turbulence in general.

Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation

The statistical properties are presented for the direct numerical simulation (DNS) of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) at the verge of separation. The APG TBL has a momentum thickness based Reynolds number range from

Vertically localised equilibrium solutions in large-eddy simulations of homogeneous shear flow

Re_{\delta_2}=570

Unstable periodic orbits in plane Couette flow with the Smagorinsky model

to

Characterisation of minimal-span plane Couette turbulence with pressure gradients

13800

Intense focal and reynolds stress structures of a self-similar adverse pressure gradient turbulent boundary layer

, with a self-similar region from

DNS of self-similar adverse pressure gradient turbulent boundary layer

Re_{\delta_2} = 10000

Coherent structures of a self-similar adverse pressure gradient turbulent boundary layer

to

Coherent structures in a self-similar adverse pressure gradient turbulent boundary layer

12300

Experimental measurements of a self-similar adverse pressure gradient turbulent boundary layer

. Within this domain the average non-dimensional pressure gradient parameter