DNS: Skewed Turbulent Boundary Layer

A series of direct numerical simulations (DNSs) have been performed in a non-equilibrium three-dimensional turbulent boundary layer (3DTBL) over a flat plate. Particular attention is given to the effects of cross flow and Reynolds number. The present flow is a 'shear-driven’ skewed TBL owing to a sudden imposition of a surface spanwise velocity (Ws). The data of a zero-pressure gradient TBL are prescribed at the inlet (x=0). Particular attention is given to the effects of cross-flow and Reynolds number. The periodic boundary condition is used in the spanwise (z) direction, whereas the no-slip boundary condition is used at the wall (y=0). More details are given in the below reference.

Computational domain

(Reproduced with permission from Abe (2020) © 2020 Cambridge University Press.)

Schematic diagrams of mean velocity and shear stress components in a 3DTBL

In the present flow, when the flow enters in the region imposing Ws (i.e. Lx, ws), the flow near a wall first approaches the wall-shear stress direction (i.e. α ), whereas the outer flow is 3D and the Reynolds shear stress angle lags behind the mean velocity gradient direction. The approach to the collateral state thus depends intrinsically on Lx, ws.

(Reproduced with permission from Abe (2020) © 2020 Cambridge University Press.)

Statistics Downloads

Basic statistics for ‘LB case’ where 1D data involve mean quantities and one-point turbulence statistics and 2D data are mean streamwise and spanwise velocities and TKE.

1) Lx, ws/ θ0 = 100

Reθ0 Ws / U0 1D data 2D data
300 1.0 DOWNLOADcross300_ws1.dat DOWNLOADcross300_ws1_2D_xy.zip
2.0 DOWNLOADcross300_ws2.dat DOWNLOADcross300_ws2_2D_xy.zip
600 1.0 DOWNLOADcross600_ws1.dat DOWNLOADcross600_ws1_2D_xy.zip
2.0 DOWNLOADcross600_ws2.dat DOWNLOADcross600_ws2_2D_xy.zip
900 1.0 DOWNLOADcross900_ws1.dat DOWNLOADcross900_ws1_2D_xy.zip
2.0 DOWNLOADcross900_ws2.dat DOWNLOADcross900_ws2_2D_xy.zip

2) Lx, ws/ θ0 = 200

Reθ0 Ws / U0 1D data
300 0 DOWNLOADcross300_lxws200_ws0.dat
0.1 DOWNLOADcross300_lxws200_ws01.dat
0.5 DOWNLOADcross300_lxws200_ws05.dat
1.0 DOWNLOADcross300_lxws200_ws1.dat
1.5 DOWNLOADcross300_lxws200_ws15.dat
2.0 DOWNLOADcross300_lxws200_ws2.dat

3) Lx, ws/ θ0 = 300

Reθ0 Ws / U0 1D data
300 1.0 DOWNLOADcross300_lxws300_ws1.dat
  • Note that Reθ0 denotes the momentum thickness Reynolds number at the inlet.
  • Also, Lx, ws denotes the streamwise length where the surface spanwise velocity Ws is imposed.

References

  • H. Abe, " Direct numerical simulation of a non-equilibrium three-dimensional turbulent boundary layer over a flat plate," J. Fluid Mech., Vol. 902, A20 (2020). https://doi.org/10.1017/jfm.2020.488
  • In the DNSs, statistics have been obtained with maximal caution on the accuracy and convergence. Users however should remind that their accuracy is within a certain limit imposed by the grid resolution and numerical scheme employed. The database may be updated without any notification.
  • When publishing the results using the downloaded data, users should clarify the source of the data, such as by quoting the above references.
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