activity
20232025
most citedLong-term predictions of turbulence by implicit U-Net enhanced Fourier neural operator

74 citations · 83 across the 8 of their papers we have counts for

collaborators

9 papers

physics.flu-dyn2025★ 1 cited

Uncertainty quantification and stability of neural operators for prediction of three-dimensional turbulence

Xintong Zou, Zhijie Li, Yunpeng Wang +2

Turbulence poses challenges for numerical simulation due to its chaotic, multiscale nature and high computational cost. Traditional turbulence modeling often struggles with accurac…

physics.flu-dyn2025★ 3 cited

Machine-learning-based simulation of turbulent flows over periodic hills using a hybrid U-Net and Fourier neural operator framework

Yunpeng Wang, Huiyu Yang, Zelong Yuan +3

Simulating massively separated turbulent flows over bodies is one of the major applications for large-eddy simulation (LES). In the current work, we propose a machine-learning-base…

physics.flu-dyn2025★ 2 cited

An Implicit Adaptive Fourier Neural Operator for Long-term Predictions of Three-dimensional Turbulence

Yuchi Jiang, Zhijie Li, Yunpeng Wang +2

Long-term prediction of three-dimensional (3D) turbulent flows is one of the most challenging problems for machine learning approaches. Although some existing machine learning appr…

physics.flu-dyn2024

Prediction of three-dimensional chemically reacting compressible turbulence based on implicit U-Net enhanced Fourier neural operator

Zhiyao Zhang, Zhijie Li, Yunpeng Wang +4

The accurate and fast prediction of long-term dynamics of turbulence presents a significant challenge for both traditional numerical simulations and machine learning methods. In re…

physics.flu-dyn2024★ 1 cited

LESnets (Large-Eddy Simulation nets): Physics-informed neural operator for large-eddy simulation of turbulence

Sunan Zhao, Zhijie Li, Boyu Fan +3

Acquisition of large datasets for three-dimensional (3D) partial differential equations (PDE) is usually very expensive. Physics-informed neural operator (PINO) eliminates the high…

physics.flu-dyn2024

Fourier neural operator for large eddy simulation of compressible Rayleigh-Taylor turbulence

Tengfei Luo, Zhijie Li, Zelong Yuan +5

The Fourier neural operator (FNO) framework is applied to the large eddy simulation (LES) of three-dimensional compressible Rayleigh-Taylor (RT) turbulence with miscible fluids at…

physics.flu-dyn2024★ 1 cited

A transformer-based neural operator for large-eddy simulation of turbulence

Zhijie Li, Tianyuan Liu, Wenhui Peng +2

Predicting the large-scale dynamics of three-dimensional (3D) turbulence is challenging for machine learning approaches. This paper introduces a transformer-based neural operator (…

physics.flu-dyn2024★ 1 cited

Prediction of turbulent channel flow using Fourier neural operator-based machine-learning strategy

Yunpeng Wang, Zhijie Li, Zelong Yuan +3

Fast and accurate predictions of turbulent flows are of great importance in the science and engineering field. In this paper, we investigate the implicit U-Net enhanced Fourier neu…

physics.flu-dyn2023★ 74 cited

Long-term predictions of turbulence by implicit U-Net enhanced Fourier neural operator

Zhijie Li, Wenhui Peng, Zelong Yuan +1

Long-term predictions of nonlinear dynamics of three-dimensional (3D) turbulence are very challenging for machine learning approaches. In this paper, we propose an implicit U-Net e…