Density-unweighted subgrid-scale models for large-eddy simulations of compressible turbulence

Zhang, Chao1,2,3; Yuan, Zelong1,2,3; Wang, Yunpeng1,2,3; Zhang, Ruibo4; Wang, Jianchun1,2,3

2022-06-01

10.1063/5.0095726

PHYSICS OF FLUIDS   Impact Factor & Quartile

1070-6631

1089-7666

Density-unweighted methods in large-eddy simulations (LES) of turbulence have received little attention, and the modeling of unclosed terms using density-unweighted methods even less. We investigate the density-unweighted subgrid-scale (SGS) closure problem for LES of decaying compressible isotropic turbulence at initial turbulent Mach numbers 0.4 and 0.8. Compared to the LES with Favre (density-weighted) filtering, there are more unclosed SGS terms for density-unweighted LES, which can be reconstructed using different SGS models, including the gradient model (GM), approximate deconvolution model (ADM), dynamic Smagorinsky model (DSM), dynamic mixed model (DMM), and the dynamic iterative approximate deconvolution (DIAD) models proposed by Yuan et al. "Dynamic iterative approximate deconvolution models for large-eddy simulation of turbulence, " Phys. Fluids 33, 085125 (2021). We derive GM models suitable for density-unweighted methods. We also, for the first time, apply the DIAD model to investigate compressible turbulence. In the a priori tests, the correlation coefficients of the GM, ADM, and DIAD models are larger than 0.9. Particularly, the correlation coefficients of DIAD models exceed 0.98 and the relative errors are below 0.2, which is superior to that in other SGS models. In the a posteriori tests of the density-unweighted LES, the DIAD model shows great advantages over other SGS models (including GM, ADM, DSM, and DMM models) in predicting the various statistics and structures of compressible turbulence, including the velocity spectrum, probability density functions (PDFs) of SGS fluxes and the instantaneous spatial structures of SGS heat flux, SGS kinetic energy flux, and vorticity. Published under an exclusive license by AIP Publishing.

SCI ; EI

English

First ; Corresponding

National Natural Science Foundation of China (NSFC)[91952104,92052301,12172161,12161141017,91752201] ; 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[2020B1212030001] ; National Numerical Wind tunnel Project[NNW2019ZT1-A04]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000815963900004

AIP Publishing

20222712315407

Heat flux ; Iterative methods ; Kinetic energy ; Kinetics ; Probability density function ; Turbulence

Fluid Flow:631 ; Fluid Flow, General:631.1 ; Heat Transfer:641.2 ; Mathematics:921 ; Numerical Methods:921.6 ; Probability Theory:922.1 ; Classical Physics; Quantum Theory; Relativity:931

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen NCAMS, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven Fl, Shenzhen 518055, Peoples R China
4.Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

Zhang, Chao,Yuan, Zelong,Wang, Yunpeng,et al. Density-unweighted subgrid-scale models for large-eddy simulations of compressible turbulence[J]. PHYSICS OF FLUIDS,2022,34(6).

Zhang, Chao,Yuan, Zelong,Wang, Yunpeng,Zhang, Ruibo,&Wang, Jianchun.(2022).Density-unweighted subgrid-scale models for large-eddy simulations of compressible turbulence.PHYSICS OF FLUIDS,34(6).

Zhang, Chao,et al."Density-unweighted subgrid-scale models for large-eddy simulations of compressible turbulence".PHYSICS OF FLUIDS 34.6(2022).