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Direct numerical simulations of turbulent flow in a channel with one rigid and one viscoelastic wall are performed. An Eulerian-Eulerian model is adopted with a level-set approach to identify the fluid-compliant material interface. Focus is…

Fluid Dynamics · Physics 2021-11-03 Amir Esteghamatian , Joseph Katz , Tamer A. Zaki

Variable selection naturally arises as a useful subject when faced with data with massive predictor space. In addition to the massive dimensionality, the data may be characterized by intra-subject correlation, and cure fraction, which are…

Methodology · Statistics 2025-12-24 Richard Tawiah , Shu Kay Ng , Geoffrey J. McLachlan

Temporal causal representation learning is a powerful tool for uncovering complex patterns in observational studies, which are often represented as low-dimensional time series. However, in many real-world applications, data are…

Machine Learning · Computer Science 2025-07-21 Jianhong Chen , Meng Zhao , Mostafa Reisi Gahrooei , Xubo Yue

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

Methodology · Statistics 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Air turbulence refers to the disordered and irregular motion state generated by drastic changes in velocity, pressure, or direction during airflow. Various complex factors lead to intricate low-altitude turbulence outcomes. Under current…

Machine Learning · Computer Science 2025-12-08 Yingang Fan , Binjie Ding , Baiyi Chen

Super-resolution of turbulence is a term used to describe the prediction of high-resolution snapshots of a flow from coarse-grained observations. This is typically accomplished with a deep neural network and training usually requires a…

Fluid Dynamics · Physics 2024-10-29 Jacob Page

This article discusses the description of wall-bounded turbulence as a deterministic high-dimensional dynamical system of interacting coherent structures, defined as eddies with enough internal dynamics to behave relatively autonomously…

Fluid Dynamics · Physics 2018-03-20 Javier Jimenez

Most causal discovery algorithms find causal structure among a set of observed variables. Learning the causal structure among latent variables remains an important open problem, particularly when using high-dimensional data. In this paper,…

Machine Learning · Computer Science 2020-09-09 Jonathan D. Young , Bryan Andrews , Gregory F. Cooper , Xinghua Lu

Traditional disaster analysis and modelling tools for assessing the severity of a disaster are predictive in nature. Based on the past observational data, these tools prescribe how the current input state (e.g., environmental conditions,…

Machine Learning · Computer Science 2025-09-16 Saketh Vishnubhatla , Alimohammad Beigi , Rui Heng Foo , Umang Goel , Ujun Jeong , Bohan Jiang , Adrienne Raglin , Huan Liu

The pressure strain correlation plays a critical role in the Reynolds stress transport modelling. Accurate modelling of the pressure strain correlation leads to proper prediction of turbulence stresses and subsequently the other terms of…

Fluid Dynamics · Physics 2021-03-02 J P Panda , H V Warrior

This paper reviews results from the study of wall-bounded turbulent flows using statistical state dynamics (SSD) that demonstrate the benefits of adopting this perspective for understanding turbulence in wall-bounded shear flows. The SSD…

Fluid Dynamics · Physics 2017-02-10 Brian F. Farrell , Dennice F. Gayme , Petros J. Ioannou

With the development of high performance computer and experimental technology, the study of turbulence has accumulated a large number of high fidelity data. However, few general turbulence knowledge has been found from the data. So we use…

Fluid Dynamics · Physics 2024-06-17 ZhongXin Yang , XiangLin Shan , WeiWei Zhang

Turbulence is a complex system exhibiting both universal statistical features and prominent coherent structures. We model turbulence using coherent vortices distributed within a multi-scale statistical framework, termed `woven turbulence'.…

Fluid Dynamics · Physics 2025-12-04 Zishuo Han , Weiyu Shen , Yue Yang

While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

Neurons and Cognition · Quantitative Biology 2021-04-12 Sebastian Weichwald , Jonas Peters

We propose a dimensionality reduction and unsupervised clustering method for the automatic classification and reduced-order modeling of density-stratified turbulence in laboratory experiments. We apply this method to 113 long shadowgraph…

Fluid Dynamics · Physics 2023-05-09 Adrien Lefauve , Miles M. P. Couchman

This paper introduces a novel framework for optimizing observer-based soft sensors through dynamic causality analysis. Traditional approaches to sensor selection often rely on linearized observability indices or statistical correlations…

Artificial Intelligence · Computer Science 2025-09-16 William Farlessyost , Sebastian Oberst , Shweta Singh

Planning-oriented end-to-end driving models show great promise, yet they fundamentally learn statistical correlations instead of true causal relationships. This vulnerability leads to causal confusion, where models exploit dataset biases as…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Jiacheng Tang , Zhiyuan Zhou , Zhuolin He , Jia Zhang , Kai Zhang , Jian Pu

Physics-informed neural networks (PINNs) have emerged as a promising framework for solving inverse problems governed by partial differential equations (PDEs), including the reconstruction of turbulent flow fields from sparse data. However,…

Machine Learning · Computer Science 2026-04-21 Khemraj Shukla , Zongren Zou , Theo Kaeufer , Michael Triantafyllou , George Em Karniadakis

While modern multivariate forecasters such as Transformers and GNNs achieve strong benchmark performance, they often suffer from systematic errors at specific variables or horizons and, critically, lack guarantees against performance…

Machine Learning · Computer Science 2026-01-05 Jianxiang Xie , Yuncheng Hua , Mingyue Cheng , Flora Salim , Hao Xue

Developed turbulent motion of fluid still lacks an analytical description despite more than a century of active research. Nowadays phenomenological ideas are widely used in practical applications, such as small-scale closures for numerical…

Fluid Dynamics · Physics 2023-08-04 Julia Domingues Lemos , Alexei A. Mailybaev