The effect of filter anisotropy on the large eddy simulation of turbulence

Chang，Ning1,2; Yuan，Zelong1,2; Wang，Yunpeng1,2; Wang，Jianchun1,2

2023-03-01

10.1063/5.0142643

Physics of Fluids   Impact Factor & Quartile

1070-6631

1089-7666

We study the effect of filter anisotropy and sub-filter scale (SFS) dynamics on the accuracy of large eddy simulation (LES) of turbulence, by using several types of SFS models including the dynamic Smagorinsky model (DSM), dynamic mixed model (DMM), and the direct deconvolution model (DDM) with the anisotropic filter. The aspect ratios (AR) of the filters for LES range from 1 to 16. We show that the DDM is capable of predicting SFS stresses accurately at highly anisotropic filter. In the a priori study, the correlation coefficients of SFS stress reconstructed by the DDM are over 90%, which are much larger than those of the DSM and DMM models. The correlation coefficients decrease as the AR increases. In the a posteriori studies, the DDM outperforms DSM and DMM models in the prediction of various turbulence statistics, including the velocity spectra, and probability density functions of the vorticity, SFS energy flux, velocity increments, strain-rate tensors and SFS stress. As the anisotropy increases, the results of DSM and DMM become worse, but DDM can give satisfactory results for all the filter-anisotropy cases. These results indicate that the DDM framework is a promising tool in developing advanced SFS models in the LES of turbulence in the presence of anisotropic filter.

SCI

English

First ; Corresponding

National Natural Science Foundation of China (NSFC)["91952104","92052301","12172161","12161141017"] ; National Numerical Windtunnel Project[NNW2019ZT1-A04] ; Shenzhen Science and Technology Program[KQTD20180411143441009] ; Key Special Project for Introduced Talents Team of Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou)[GML2019ZD0103] ; Department of Science and Technology of Guangdong Province[2019B21203001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000957323400001

AIP Publishing

PHYSICS

2-s2.0-85150869169

Scopus

1.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Guangdong-Hong Kong-Macao Jt. Lab. for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,518055,China

Chang，Ning,Yuan，Zelong,Wang，Yunpeng,et al. The effect of filter anisotropy on the large eddy simulation of turbulence[J]. Physics of Fluids,2023,35(3).

Chang，Ning,Yuan，Zelong,Wang，Yunpeng,&Wang，Jianchun.(2023).The effect of filter anisotropy on the large eddy simulation of turbulence.Physics of Fluids,35(3).

Chang，Ning,et al."The effect of filter anisotropy on the large eddy simulation of turbulence".Physics of Fluids 35.3(2023).