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.