Applied Mathematics and Plasma Physics

Susan Kurien and Katepalli R. Sreenivasan, "Anisotropic scaling contributions to high-order structure
functions in high-Reynolds-number turbulence", *Phys. Rev. E*, vol. 62, pp. 2206--2212, 2000

We make an attempt at obtaining the scaling exponents for
the anisotropic components of structure functions of order 2
through 6. We avoid mixing these components with their isotropic
counterparts for each order by using tensor components that are
entirely anisotropic. We do this by considering terms of the
isotropic sector corresponding to *j=0* in the SO(3)
decomposition of each tensor, and then constructing components
that are explicitly zero in the isotropic sector. We use an
interpolation formula to compensate for the large-scale
encroachment of inertial-range scales. This allows us to examine
the lowest order anisotropic scaling behavior. The resulting
anisotropic exponents for a given tensorial order are larger
than those known for the corresponding isotropic part. One
conclusion that emerges is that the anisotropy effects diminish
with decreasing scale, although much more slowly than previously
thought.

@article{kurien-2000-anisotropic,

author = {Susan Kurien and Katepalli R. Sreenivasan},

title = {Anisotropic scaling contributions to high-order structure
functions in high-Reynolds-number turbulence},

year = {2000},

urlpdf = {http://math.lanl.gov/~skurien/papers/KurSre_aniso_pre00.pdf},

journal = {Phys. Rev. E},

volume = {62},

pages = {2206--2212}

}