Constant-coefficient spatial gradient models for the sub-grid scale closure in large-eddy simulation of turbulence

Wang，Yunpeng1,2,3; Yuan，Zelong1,2,3; Wang，Xiaoning1,2,3; Wang，Jianchun1,2,3

2022-09-01

10.1063/5.0101356

PHYSICS OF FLUIDS   Impact Factor & Quartile

1070-6631

1089-7666

Constant-coefficient spatial gradient models (SGMs) are proposed for the sub-grid scale (SGS) closure in large-eddy simulation (LES) of turbulence. The model coefficients are determined either by expanding the neighboring first-order gradients using the local higher-order gradient or by directly discretizing the local higher-order gradients using first-order values among spatial stencil locations. The a priori tests show that the SGM model can have a correlation coefficient larger than 0.97, which is close to the machine-learning based model. In the a posteriori tests, the LESs with different SGS models are performed for the forced incompressible homogeneous isotropic turbulence (HIT) and weakly compressible turbulent mixing layer (TML). The performance of the SGM model is comprehensively examined through the prediction of the flow statistics including the velocity spectrum, the probability density functions of the strain rate, and velocity increments. The evolution of turbulent kinetic energy, the instantaneous structures of the vorticity field, and the Q-criterion are also examined to evaluate the spatial temporal performances of the LES. The predictions of the SGM model are consistently more satisfying compared to the traditional models, including the dynamic Smagorinsky model, the dynamic mixed model, and implicit-LES (ILES) while its computational cost is similar to traditional models. For the weakly compressible TML, most LESs perform better when the length scale of the initial perturbation field is larger than the filter width, providing a useful guidance for LES of turbulent mixing layers.

SCI

English

First ; Corresponding

National Natural Science Foundation of China (NSFC)["91952104","92052301","12172161","91752201"] ; 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[2020B1212030001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000874281500003

AIP Publishing

PHYSICS

2-s2.0-85138314144

Scopus

1.National Center for Applied Mathematics Shenzhen (NCAMS),Southern University of Science and Technology,Shenzhen,518055,China
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.Guangdong-Hong Kong-Macao Jt. Lab. for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,518055,China

Wang，Yunpeng,Yuan，Zelong,Wang，Xiaoning,et al. Constant-coefficient spatial gradient models for the sub-grid scale closure in large-eddy simulation of turbulence[J]. PHYSICS OF FLUIDS,2022,34(9).

Wang，Yunpeng,Yuan，Zelong,Wang，Xiaoning,&Wang，Jianchun.(2022).Constant-coefficient spatial gradient models for the sub-grid scale closure in large-eddy simulation of turbulence.PHYSICS OF FLUIDS,34(9).

Wang，Yunpeng,et al."Constant-coefficient spatial gradient models for the sub-grid scale closure in large-eddy simulation of turbulence".PHYSICS OF FLUIDS 34.9(2022).