PRESSURE-STRAIN MODELING THROUGH A TRANSP ORT-EQUATION

It is well known that one of the limitations of second-moment modellin g is due to the pressure-strain closure T-ij. This term is normally di vided into a rapid, or mean-strain-turbulence interaction term, and a slow or turbulence-turbulence interaction term. For homogeneous and in compressible pow, the classical expression of the rapid term (Lumley, 1978) is linked to spectral description of turbulence involving a four th order teaser, the model for which is an isotropic functional of the deviator of the Reynolds tensor only. Resulting models of T-ij presen t difficulties Sor prediction of pure rotational pow (Johansson et al. , 1994), where the information exists at the spectral level (Cambon et al., 1989). The aim of this study is to propose a closure based on tr ansport equation Sor the fourth order tensor and to look at the inform ation included.