Fourier neural operator approach to large eddy simulation of three-dimensional turbulence

Li，Zhijie1,2,3; Peng，Wenhui1,2,3,4; Yuan，Zelong1,2,3; Wang，Jianchun1,2,3

2022

10.1016/j.taml.2022.100389

Theoretical and Applied Mechanics Letters   Impact Factor & Quartile

2095-0349

2095-0349

Fourier neural operator (FNO) model is developed for large eddy simulation (LES) of three-dimensional (3D) turbulence. Velocity fields of isotropic turbulence generated by direct numerical simulation (DNS) are used for training the FNO model to predict the filtered velocity field at a given time. The input of the FNO model is the filtered velocity fields at the previous several time-nodes with large time lag. In the a posteriori study of LES, the FNO model performs better than the dynamic Smagorinsky model (DSM) and the dynamic mixed model (DMM) in the prediction of the velocity spectrum, probability density functions (PDFs) of vorticity and velocity increments, and the instantaneous flow structures. Moreover, the proposed model can significantly reduce the computational cost, and can be well generalized to LES of turbulence at higher Taylor-Reynolds numbers.

Data-driven simulation Fourier neural operator Incompressible turbulence Large eddy simulation

ESCI

English

First ; Corresponding

National Natural Science Foundation of China[12161141017];National Natural Science Foundation of China[12172161];National Natural Science Foundation of China[91952104];National Natural Science Foundation of China[92052301];Shenzhen Science and Technology Innovation Program[KQTD20180411143441009];

Mechanics

Mechanics

WOS:000918317000001

ELSEVIER

2-s2.0-85141247886

Scopus

1.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou),511458,China
3.Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,518055,China
4.Department of Computer Engineering,Polytechnique Montreal,Montreal,H3T1J4,Canada

Li，Zhijie,Peng，Wenhui,Yuan，Zelong,et al. Fourier neural operator approach to large eddy simulation of three-dimensional turbulence[J]. Theoretical and Applied Mechanics Letters,2022,12(6).

Li，Zhijie,Peng，Wenhui,Yuan，Zelong,&Wang，Jianchun.(2022).Fourier neural operator approach to large eddy simulation of three-dimensional turbulence.Theoretical and Applied Mechanics Letters,12(6).

Li，Zhijie,et al."Fourier neural operator approach to large eddy simulation of three-dimensional turbulence".Theoretical and Applied Mechanics Letters 12.6(2022).