@Article{CiCP-27-3,
author = {Xie, Chenyue and Wang, Jianchun and Li, Hui and Wan, Minping and Shiyi, Chen},
title = {An Approximate Second-Order Closure Model for Large-Eddy Simulation of Compressible Isotropic Turbulence},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {3},
pages = {775--808},
abstract = {<p style="text-align: justify;">In this paper, the detailed dynamic characteristics of the subgrid scale (SGS)
stress tensor and heat flux are investigated through Taylor series expansion in numerical simulations of compressible isotropic turbulence. A new approximate second-order
closure (ASOC) model is introduced based on the transport equations of the first-order
Taylor series approximation of SGS stress tensor and heat flux. The proposed model
is implemented in large eddy simulation (LES) of compressible isotropic turbulence.
Detailed comparisons with direct numerical simulation (DNS) dataset using both <em>a
priori</em> and <em>a posteriori</em> approaches are carried out. <em>A priori</em> tests show that, SGS stress
tensor and heat flux have high correlations with the first-order Taylor series approximation. Their root mean square (rms) values are close to those of the first-order Taylor series approximation. In <em>a posteriori</em> tests, the proposed ASOC model yields good
agreement with DNS dataset. Compared with the results of the dynamic Smagorinsky model (DSM) and dynamic mixed model (DMM), the ASOC model predicts better energy spectra at high wavenumbers. The probability density function (PDF) and
the structure functions of velocity and thermodynamic variables are further studied,
demonstrating that the statistical properties of the simulated flows are improved by
the ASOC model. The numerical results illustrate the ability of the model to improve
the statistical properties of the simulated flows in the context of LES. Finally, a simplified ASOC model can be derived by neglecting the effect of density gradient for low
turbulent Mach number turbulence.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0306},
url = {https://global-sci.com/article/79786/an-approximate-second-order-closure-model-for-large-eddy-simulation-of-compressible-isotropic-turbulence}
}