Sig Turbulence / Channel Flow

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Olivier Brugiere, Universite Joseph Fourier, Grenoble, France

1 Motivation

  • Test avaiable subgrid scale (SGS) model
  • Test wall model on easy configuration:
    • no pressure gradients
    • cheap calculation
    • easy to mesh
    • ...
  • Many DNS data base can be found (ex: the Kawmura laboratory [[1]]) to compare mean velocity and rms profiles

2 Testcase description

2.1 Flow configuration

2.1.1 Boundary condition

Figure 1 : Flow configuration
  • Streamwise condition : periodicity
  • Spanwise condition : periodicity
  • Normal to streamwise : two walls

2.1.2 Geometrical Parameters

The Reynodls number of the flow is the same as Abe et al. [3] ( Re_{\tau} = 1020). Thus the geometry is :

  • Streamwise distance : L_{x} = 12,8 h
  • Normal wall heigh  : L_{y} = 2 h
  • Spanwise distance  : L_{y} = 6,4 h

2.2 Mesh generation

Figure 2 : Mesh for y+ = 200

We have done the mesh with an automatic tool (*.m4) which is composed by Nx * Ny * Nz = 50 * 40 * 38 . The mesh is composed by 4 blocks:

  • 2 blocks for the first cell close to the wall. (Hense, y+ can be imposed)
  • 2 blocks in the center

2.3 Simulation details

The aim of my study is testing a posteriori near-wall law. We are running three cases :

  • Without wall model
  • With the Spalding law [1]
  • With the Manhart et al. law [2]

3 Numerical results

Results of the simulations are available in the paper written by Duprat et al. [4]

4 References

[1] Spalding, 1961, A single formula for the law of the wall, J. Appl. Mech., vol 28, pp. 455-457

[2] Manhart, Peller, and Brun, 2008, Near-wall scaling for turbulent boundary layers with adverse pressure gradient, Theor. Comput. Fluid Dyn., vol 22 , pp. 243-260.

[3] Abe, Kawamura and Matsuo, Surface heat-flux fluctuations in a turbulent channel flow up to Re_{\tau} = 1020 with Pr = 0,025 and 0,71, 2004, Int. J. Heat and Fluid Flow, vol 25, pp. 404-419.

[4] Duprat, Balarac, Métais, Congedo, and Brugière, 2011, A wall-layer model for large-eddy simulations of turbulent flows with/out pressure gradient. Physics of Fluids, 23, 015101.[2]

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