Reynolds-Stress Model Taking into Account Strong Anisotropy of Wall Turbulence. 1st Report. New Proposal for Reynolds-Stress Model.

Taking into account the fact that the state of turbulence approaches a two-dimensional state close to the wall, a new Reynolds-stress turbulence model is proposed. The rotational properties of the two-dimensional turbulence differ significantly from the three-dimensional one. Under the system rotating about the axis perpendicular to the plane the turbulence correlations between fluctuating velocities remain invariant, while those combined with fluctuating pressure vary. Based on these mathematical properties, a proposal for the pressure-strain correlation is made. Trial computations for turbulent channel flows show that the present Reynolds stress model can reproduce well strong anisotropic near-wall behaviors of Reynolds stresses, which cannot be predicted by previous turbulence models.