Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence

被引：15
作者：
Rubinstein, Robert [1 ]
Kurien, Susan [2 ]
Cambon, Claude [3 ]
机构：
[1] NASA Langley Res Ctr, Computat AeroSci Branch, Hampton, VA 23681 USA
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM USA
[3] Univ Lyon, Ecole Cent Lyon, CNRS, LMFA UMR 5509, F-69134 Ecully, France
来源：
JOURNAL OF TURBULENCE | 2015年 / 16卷 / 11期
关键词：
homogeneous turbulence; AXISYMMETRIC TURBULENCE; STATISTICS; FLOWS; MODEL;
D O I：
10.1080/14685248.2015.1051184
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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. The series expansion is formulated in terms of explicitly constructed tensor bases with scalar coefficients determined by angular moments of the correlation tensor.
引用
收藏
页码：1058 / 1075
页数：18
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