TY - JOUR
T1 - The Discrete Direct Deconvolution Model in the Large Eddy Simulation of Turbulence
AU - Chang , Ning
AU - Yuan , Zelong
AU - Wang , Yunpeng
AU - Wang , Jianchun
JO - Communications in Computational Physics
VL - 3
SP - 791
EP - 849
PY - 2025
DA - 2025/08
SN - 38
DO - http://doi.org/10.4208/cicp.OA-2024-0075
UR - https://global-sci.org/intro/article_detail/cicp/24316.html
KW - Direct deconvolution model, sub-filter scale model, large-eddy simulation.
AB - <p style="text-align: justify;">The discrete direct deconvolution model (D3M) is developed for the large-eddy simulation (LES) of turbulence. The D3M is a discrete approximation of previous
direct deconvolution model studied by Chang et al. [”The effect of sub-filter scale dynamics in large eddy simulation of turbulence,” Phys. Fluids 34, 095104 (2022)]. For the
first type model D3M-1, the original Gaussian and Helmholtz filters are approximated
by local discrete formulation of different orders, and direct inverse of the discrete filter is applied to reconstruct the unfiltered flow field. The inverse of original Gaussian
and Helmholtz filters can be also approximated by local discrete formulation, leading
to a fully local model D3M-2. Compared to traditional models including the dynamic
Smagorinsky model (DSM) and the dynamic mixed model (DMM), the D3M-1 and
D3M-2 exhibit much larger correlation coefficients and smaller relative errors in the<em>a priori</em> studies. In the<em> a posterior</em>i validations, both D3M-1 and D3M-2 can accurately
predict turbulence statistics, including velocity spectra, probability density functions
(PDFs) of sub-filter scale (SFS) stresses and SFS energy flux, as well as time-evolving
kinetic energy spectra, momentum thickness, and Reynolds stresses in turbulent mixing layer. D3M-1 and D3M-2 have more advantages in predicting the SFS statistics
compared to scale-similarity model (SSM), DSM, and DMM. Thus, the D3M holds potential as an effective SFS modeling approach in turbulence simulations.</p>