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Title: 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]
  1. NASA Langley Research Center, Hampton, VA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Ecole Centrale de Lyon, Ecully Cedex (France)
Publication Date:
Report Number(s):
LA-UR-15-20047
Journal ID: ISSN 1468-5248
Grant/Contract Number:
AC52-06NA25396
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 1468-5248
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}
}