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20212025
most citedLong-term predictions of turbulence by implicit U-Net enhanced Fourier neural operator

74 citations · 148 across the 9 of their papers we have counts for

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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★ 4 cited

Residual U-Net for accurate and efficient prediction of hemodynamics in two-dimensional asymmetric stenosis

Xintong Zou, Suiyang Tong, Wenhui Peng +2

This study presents residual U-Net (U-ResNet), a deep learning surrogate model for predicting steady hemodynamic fields in two-dimensional asymmetric stenotic channels at Reynolds…

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

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…

physics.flu-dyn2022★ 1 cited

Linear attention coupled Fourier neural operator for simulation of three-dimensional turbulence

Wenhui Peng, Zelong Yuan, Zhijie Li +1

Modeling three-dimensional (3D) turbulence by neural networks is difficult because 3D turbulence is highly-nonlinear with high degrees of freedom and the corresponding simulation i…

physics.flu-dyn2021★ 62 cited

Attention-Enhanced Neural Network Models for Turbulence Simulation

Wenhui Peng, Zelong Yuan, Jianchun Wang

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus…