Volume 2, Issue 1
A Transfer Theory Analysis of Approximate Deconvolution Models of Turbulence

C. Wen & T.-Z. Huang

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 57-72

Published online: 2011-02

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  • Abstract
This study considers Pao's transfer theory of turbulence for the family of Approximate Deconvolution Models (ADMs). By taking a different representation of the persistent input of energy into the large scales of the turbulent flow, the Pao theory simplifies somewhat. Analysis of the resulting model is given and it is verified that (after the simplification as was known before it) it is consistent with the important statistics of homogeneous isotropic turbulence. The ADMs have an enhanced energy dissipation and a modification to the kinetic energy which affect the truncation of scales by reducing the models microscale from the Kolmogorov microscale. The energy dissipation can be even more enhanced by the time relaxation and the effects of this term are presented as well.
  • AMS Subject Headings

65Y99 76F65

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-2-57, author = {C. Wen and T.-Z. Huang}, title = {A Transfer Theory Analysis of Approximate Deconvolution Models of Turbulence}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {1}, pages = {57--72}, abstract = {This study considers Pao's transfer theory of turbulence for the family of Approximate Deconvolution Models (ADMs). By taking a different representation of the persistent input of energy into the large scales of the turbulent flow, the Pao theory simplifies somewhat. Analysis of the resulting model is given and it is verified that (after the simplification as was known before it) it is consistent with the important statistics of homogeneous isotropic turbulence. The ADMs have an enhanced energy dissipation and a modification to the kinetic energy which affect the truncation of scales by reducing the models microscale from the Kolmogorov microscale. The energy dissipation can be even more enhanced by the time relaxation and the effects of this term are presented as well.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/299.html} }
TY - JOUR T1 - A Transfer Theory Analysis of Approximate Deconvolution Models of Turbulence AU - C. Wen & T.-Z. Huang JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 57 EP - 72 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/299.html KW - energy transfer theory KW - shell model KW - turbulence KW - approximate deconvolution AB - This study considers Pao's transfer theory of turbulence for the family of Approximate Deconvolution Models (ADMs). By taking a different representation of the persistent input of energy into the large scales of the turbulent flow, the Pao theory simplifies somewhat. Analysis of the resulting model is given and it is verified that (after the simplification as was known before it) it is consistent with the important statistics of homogeneous isotropic turbulence. The ADMs have an enhanced energy dissipation and a modification to the kinetic energy which affect the truncation of scales by reducing the models microscale from the Kolmogorov microscale. The energy dissipation can be even more enhanced by the time relaxation and the effects of this term are presented as well.
C. Wen & T.-Z. Huang. (1970). A Transfer Theory Analysis of Approximate Deconvolution Models of Turbulence. International Journal of Numerical Analysis Modeling Series B. 2 (1). 57-72. doi:
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