Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence

Yuan, Zelong1,2,3; Wang, Yunpeng1,2,3; Xie, Chenyue1,2,3,4; Wang, Jianchun1,2,3

2022-04-08

10.1186/s42774-022-00107-z

ADVANCES IN AERODYNAMICS   影响因子和分区

2524-6992

A dynamic nonlinear algebraic model with scale-similarity dynamic procedure (DNAM-SSD) is proposed for subgrid-scale (SGS) stress in large-eddy simulation of turbulence. The model coefficients of the DNAM-SSD model are adaptively calculated through the scale-similarity relation, which greatly simplifies the conventional Germano-identity based dynamic procedure (GID). The a priori study shows that the DNAM-SSD model predicts the SGS stress considerably better than the conventional velocity gradient model (VGM), dynamic Smagorinsky model (DSM), dynamic mixed model (DMM) and DNAM-GID model at a variety of filter widths ranging from inertial to viscous ranges. The correlation coefficients of the SGS stress predicted by the DNAM-SSD model can be larger than 95% with the relative errors lower than 30%. In the a posteriori testings of LES, the DNAM-SSD model outperforms the implicit LES (ILES), DSM, DMM and DNAM-GID models without increasing computational costs, which only takes up half the time of the DNAM-GID model. The DNAM-SSD model accurately predicts plenty of turbulent statistics and instantaneous spatial structures in reasonable agreement with the filtered DNS data. These results indicate that the current DNAM-SSD model is attractive for the development of highly accurate SGS models for LES of turbulence.

Subgrid-scale model Nonlinear algebraic model Large-eddy simulation Incompressible turbulence

ESCI ; EI

英语

第一 ; 通讯

Engineering ; Mechanics ; Physics

Engineering, Mechanical ; Mechanics ; Physics, Fluids & Plasmas

WOS:000780920300001

SPRINGERNATURE

20221611973761

Algebra ; Turbulence

Fluid Flow:631 ; Mathematics:921 ; Algebra:921.1

2-s2.0-85128225875

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Southern Marine Sci & Engn Guangdong Lab Guangzho, Guangzhou 511458, Peoples R China
3.Southern Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven F, Shenzhen 518055, Peoples R China
4.Hong Kong Univ Sci & Technol, Dept Ocean Sci, Hong Kong 999077, Peoples R China

Yuan, Zelong,Wang, Yunpeng,Xie, Chenyue,et al. Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence[J]. ADVANCES IN AERODYNAMICS,2022,4(1).

Yuan, Zelong,Wang, Yunpeng,Xie, Chenyue,&Wang, Jianchun.(2022).Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence.ADVANCES IN AERODYNAMICS,4(1).

Yuan, Zelong,et al."Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence".ADVANCES IN AERODYNAMICS 4.1(2022).