Los Alamos National Laboratory
Phone| Search
T-5 HomeResearchPublications › kurien-2015-scalar
› Contact › People › Research
› Projects › Highlights › Publications
› Jobs › Visitor Info

Cite Details

Robert Rubinstein, Susan Kurien and Claude Cambon, "Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence", Journal of Turbulence, vol. 16:11, pp. 1058-1075, 2015

Abstract

The representation theory of the rotation group is applied to construct a series expansion of the correlation tensor in homogeneous anisotropic turbulence. The resolution of angular dependence is the main analytical difficulty posed by anisotropic turbulence; representation theory parametrizes this dependence by a tensor analog of the standard spherical harmonics expansion of a scalar. The series expansion is formulated in terms of explicitly constructed tensor bases with scalar coefficients determined by angular moments of the correlation tensor.

BibTeX Entry

@article{kurien-2015-scalar,
author = {Robert Rubinstein and Susan Kurien and Claude Cambon},
title = {Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence},
year = {2015},
urlpdf = {http://math.lanl.gov/~skurien/papers/RubKurCam_SO3_JOT15.pdf},
journal = {Journal of Turbulence},
volume = {16:11},
pages = {1058-1075}
}