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

IF 3.2 3区工程技术 Q2 MECHANICS

Theoretical and Applied Mechanics Letters Pub Date : 2022-11-01 DOI:10.1016/j.taml.2022.100389

Zhijie Li , Wenhui Peng , Zelong Yuan , Jianchun Wang

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引用次数: 16

Abstract

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.

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三维湍流大涡模拟的傅里叶神经算子方法

建立了三维湍流大涡模拟的傅里叶神经算子(FNO)模型。利用直接数值模拟(DNS)产生的各向同性湍流的速度场来训练FNO模型，以预测给定时间的过滤速度场。FNO模型的输入是前几个时间节点上滤波后的速度场，具有较大的时滞。在LES的后验研究中，FNO模型在速度谱、涡度和速度增量的概率密度函数以及瞬时流结构的预测方面优于动态Smagorinsky模型(DSM)和动态混合模型(DMM)。此外，该模型可以显著降低计算成本，并且可以很好地推广到更高泰勒-雷诺数的湍流LES。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Mechanics Letters MECHANICS-

CiteScore

6.20

自引率

2.90%

发文量

545

审稿时长

12 weeks

期刊介绍： An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).