skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Journal of Turbulence (Online)
 [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)
+ Show Author Affiliations

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), Vol. 16, Issue 11; ISSN 1468-5248
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (15)

The theory of axisymmetric turbulence journal September 1946
The theory of axisymmetric turbulence
  • Chandrasekhar, Subrahmanyan
  • Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 242, Issue 855, p. 557-577 https://doi.org/10.1098/rsta.1950.0010
journal October 1950
Correlation functions in isotropic and anisotropic turbulence: The role of the symmetry group journal June 1999
Group Theory and its Applications to Physical Problems journal October 1962
Statistics of cosmic microwave background polarization journal June 1997
Anisotropic developments for homogeneous shear flows journal August 2006
One-point turbulence structure tensors journal February 2001
Spectral transport model for turbulence journal January 1996
Spectral approach to non-isotropic turbulence subjected to rotation journal May 1989
Transporterscheinungen in Gasen von mittlerem Druck book January 1958
Scaling exponents in anisotropic hydrodynamic turbulence journal February 2003
Approach of axisymmetric turbulence to isotropy journal January 1974
Rapid distortion of axisymmetric turbulence journal February 1978
General second-rank correlation tensors for homogeneous magnetohydrodynamic turbulence journal September 1997
Third-order statistics and the dynamics of strongly anisotropic turbulent flows journal March 2013

Cited By (1)

Advanced spectral anisotropic modelling for shear flows journal June 2018

Similar Records

Scalar-scalar, scalar-tensor, and tensor-tensor correlators from anisotropic inflation
Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields · OSTI ID:1227460
Leith diffusion model for homogeneous anisotropic turbulence
Journal Article · Thu Jun 01 00:00:00 EDT 2017 · Computers and Fluids · OSTI ID:1227460
Anisotropically inflating universes in a scalar-tensor theory
Journal Article · Sun Feb 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields · OSTI ID:1227460

Related Subjects

99 GENERAL AND MISCELLANEOUS
97 MATHEMATICS AND COMPUTING