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

Rubinstein, Robert; Kurien, Susan; Cambon, Claude

doi:10.1080/14685248.2015.1051184

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

Journal Article · Mon Jun 22 00:00:00 EDT 2015 · Journal of Turbulence (Online)

DOI:https://doi.org/10.1080/14685248.2015.1051184· OSTI ID:1227460

Rubinstein, Robert ^[1]; Kurien, Susan ^[2]; Cambon, Claude ^[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)

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.

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1227460

Report Number(s):: LA-UR--15-20047

Journal Information:: Journal of Turbulence (Online), Journal Name: Journal of Turbulence (Online) Journal Issue: 11 Vol. 16; ISSN 1468-5248

Country of Publication:: United States

Language:: English

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Advanced spectral anisotropic modelling for shear flows Briard, Antoine; Gréa, Benoît-Joseph; Mons, Vincent Journal of Turbulence, Vol. 19, Issue 7 https://doi.org/10.1080/14685248.2018.1478092	journal	June 2018

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

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