Development and application of advanced one-point turbulence models

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Full self-preserving solutions in isotropic decay and homogeneous shear flow turbulence have been examined from a basic theoretical standpoint. These constitute solutions for the two-point double and triple velocity correlations that are self-similar at all scales. Consistent with earlier studies, it was found that both isotropic decay and homogeneous shear flow turbulence have full self-preserving solutions. At high Reynolds numbers - with finite viscosity - the full self-preserving solution for isotropic decay corresponds to a t{sup -1} power-law decay whereas that for homogeneous shear flow corresponds to a production-equals-dissipation equilibrium. An alternative derivation of the isotropic results based on group ... continued below

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12 p.

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Speziale, C.G. January 1, 1996.

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Description

Full self-preserving solutions in isotropic decay and homogeneous shear flow turbulence have been examined from a basic theoretical standpoint. These constitute solutions for the two-point double and triple velocity correlations that are self-similar at all scales. Consistent with earlier studies, it was found that both isotropic decay and homogeneous shear flow turbulence have full self-preserving solutions. At high Reynolds numbers - with finite viscosity - the full self-preserving solution for isotropic decay corresponds to a t{sup -1} power-law decay whereas that for homogeneous shear flow corresponds to a production-equals-dissipation equilibrium. An alternative derivation of the isotropic results based on group theory considerations was recently achieved by T. Clark and C. Zemach of Los Alamos. These results suggest that such self-preserving solutions are associated with a singularity in the energy spectrum tensor (i.e., the Fourier transform of the two-point double velocity correlation tensor) at zero wave vector. This can have a profound effect on turbulence models. The ultimate goal is to use these two-point results for the development of improved one-point turbulence models for the solution of practical turbulent flows of scientific and engineering interest.

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12 p.

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OSTI as DE96015166

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  • Other Information: PBD: Jan 1996

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  • Other: DE96015166
  • Report No.: LA-SUB--96-34
  • Report No.: AM--96-002
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/374132 | External Link
  • Office of Scientific & Technical Information Report Number: 374132
  • Archival Resource Key: ark:/67531/metadc688586

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  • January 1, 1996

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  • July 25, 2015, 2:20 a.m.

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  • July 28, 2016, 7:31 p.m.

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Speziale, C.G. Development and application of advanced one-point turbulence models, report, January 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc688586/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.