Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence
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 parametrises this dependence by a tensor analogue of the standard spherical harmonics expansion of a scalar. As a result, the series expansion is formulated in terms of explicitly constructed tensor bases with scalar coefficients determined by angular moments of the correlation tensor.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 NASA Langley Research Center, Hampton, VA (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Ecole Centrale de Lyon, Ecully Cedex (France)
 Publication Date:
 Report Number(s):
 LAUR1520047
Journal ID: ISSN 14685248
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Turbulence (Online)
 Additional Journal Information:
 Journal Name: Journal of Turbulence (Online); Journal Volume: 16; Journal Issue: 11; Journal ID: ISSN 14685248
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 99 GENERAL AND MISCELLANEOUS; 97 MATHEMATICS AND COMPUTING
 OSTI Identifier:
 1227460
Rubinstein, Robert, Kurien, Susan, and Cambon, Claude. Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence. United States: N. p.,
Web. doi:10.1080/14685248.2015.1051184.
Rubinstein, Robert, Kurien, Susan, & Cambon, Claude. Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence. United States. doi:10.1080/14685248.2015.1051184.
Rubinstein, Robert, Kurien, Susan, and Cambon, Claude. 2015.
"Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence". United States.
doi:10.1080/14685248.2015.1051184. https://www.osti.gov/servlets/purl/1227460.
@article{osti_1227460,
title = {Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence},
author = {Rubinstein, Robert and Kurien, Susan and Cambon, Claude},
abstractNote = {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 parametrises this dependence by a tensor analogue of the standard spherical harmonics expansion of a scalar. As a result, the series expansion is formulated in terms of explicitly constructed tensor bases with scalar coefficients determined by angular moments of the correlation tensor.},
doi = {10.1080/14685248.2015.1051184},
journal = {Journal of Turbulence (Online)},
number = 11,
volume = 16,
place = {United States},
year = {2015},
month = {6}
}