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 two-dimensional turbulence differ significantly from that of three-dimensional turbulence. 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 flow that the present Reynolds-stress model can work well to reproduce strong anisotropic near-wall behaviors of Reynolds stresses, which cannot be predicted by previous turblence models.