Disentangling scaling properties in anisotropic and inhomogeneous turbulence

We address scaling in inhomogeneous and anisotropic turbulent flows by deco mposing structure functions into their irreducible representation of the SO (3) symmetry group which are designated by j, m indices. Employing simulati ons of channel flows with Re-lambda approximate to 70 we demonstrate that d ifferent components characterized by different j display different scaling exponents, but for a given j these remain the same at different distances h am the wall. The j = 0 exponent agrees extremely well with high Re measurem ents of the scaling exponents, demonstrating the vitality of the SO(3) deco mposition.