Disentangling Scaling Properties in Anisotropic and Inhomogeneous Turbulence

Details Disentangling Scaling Properties in Anisotropic and Inhomogeneous Turbulence Disentangling Scaling Properties in Anisotropic and Inhomogeneous Turbulence

1999-03-09

arxiv.org/abs/chao-dyn/9903013v1

Nonlinear Sciences

Chaotic Dynamics

4 pages

Scientific paper

10.1103/PhysRevLett.82.5040

We address scaling in inhomogeneous and anisotropic turbulent flows by decomposing structure functions into their irreducible representation of the SO(3) symmetry group which are designated by $j,m$ indices. Employing simulations of channel flows with Re$_\lambda\approx 70$ we demonstrate that different components characterized by different $j$ display different scaling exponents, but for a given $j$ these remain the same at different distances from the wall. The $j=0$ exponent agrees extremely well with high Re measurements of the scaling exponents, demonstrating the vitality of the SO(3) decomposition.

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