Flow time history deep learning for feature decomposition and disentanglement

IF 2.9 3区 数学 Q1 MATHEMATICS, APPLIED Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 Epub Date: 2024-11-29 DOI:10.1016/j.physd.2024.134470
Qingliang Zhan , Xin Liu , Chunjin Bai , Yang Chao , Dongming Bao , Zhiyong Wang , Xiannian Sun
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Abstract

Machine intelligence has recently played an increasingly important role in the study of fluids. It would be a promising way to use machine intelligence to decompose and disentangle the massive flow data to mine the underlying flow knowledge. In this study, by extracting and disentangling the temporal features hidden in the flow time history (FTH) data, the flow feature is decomposed and disentangled in a deep learning manner. To preserve the spatial information of data, observed sampling at each position is compressed into a low dimensional latent code by the encoder, and then the decoder acts as a mapping from the latent space to the high dimensional FTH space, forming an unsupervised FTH feature decomposition algorithm. The laminar and turbulent flow around circular cylinder at Re=100 and Re=3900 are analyzed using FTH deep learning. Results of laminar case show that the code parameters of each FTH sample represent the weight of basic temporal features at that particular flow position, whereas the distribution of the latent code represents the corresponding spatial feature. Additionally, the turbulence results indicate that the proposed method achieves more accurate reconstruction outcomes than conventional linear-theory-based methods while maintaining independence of decomposed feature. This work shows that the FTH deep learning models are high accuracy approaches to learn the disentangled flow knowledge directly from the raw point-based data.
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流时间历史深度学习的特征分解与解纠缠
最近,机器智能在流体研究中发挥了越来越重要的作用。利用机器智能对海量流数据进行分解和解聚,挖掘底层流知识是一种很有前景的方法。本研究通过提取和解纠缠隐藏在流量时程(FTH)数据中的时间特征,以深度学习的方式对流量特征进行分解和解纠缠。为了保留数据的空间信息,编码器将每个位置的观测采样压缩成低维潜码,然后解码器作为潜码空间到高维FTH空间的映射,形成无监督FTH特征分解算法。利用FTH深度学习分析了Re=100和Re=3900时圆柱周围的层流和湍流。层流情况的结果表明,每个FTH样本的码参数代表了特定流位置的基本时间特征的权重,而潜在码的分布代表了相应的空间特征。湍流结果表明,该方法在保持分解特征独立性的同时,获得了比传统基于线性理论的方法更精确的重构结果。这一工作表明,FTH深度学习模型是直接从原始的基于点的数据中学习解纠缠流知识的高精度方法。
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来源期刊
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena 物理-物理:数学物理
CiteScore
7.30
自引率
7.50%
发文量
213
审稿时长
65 days
期刊介绍: Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.
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