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Convolutional autoencoders are used to deconstruct the changing dynamics of two-dimensional Kolmogorov flow as $Re$ is increased from weakly chaotic flow at $Re=40$ to a chaotic state dominated by a domain-filling vortex pair at $Re=400$.…

Fluid Dynamics · Physics 2024-11-20 Jacob Page , Joe Holey , Michael P. Brenner , Rich R. Kerswell

Despite a cost-effective option in practical engineering, Reynolds-averaged Navier-Stokes simulations are facing the ever-growing demand for more accurate turbulence models. Recently, emerging machine learning techniques are making…

Fluid Dynamics · Physics 2021-05-04 Chao Jiang

Neural-network models have been employed to predict the instantaneous flow close to the wall in a viscoelastic turbulent channel flow. Numerical simulation data at the wall is utilized to predict the instantaneous velocity-fluctuations and…

Fluid Dynamics · Physics 2025-07-22 Arivazhagan G. Balasubramanian , Ricardo Vinuesa , Outi Tammisola

A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

Fluid Dynamics · Physics 2023-02-22 Di Qi , Jian-Guo Liu

Data-driven emulation of nonlinear dynamics is challenging due to long-range skill decay that often produces physically unrealistic outputs. Recent advances in generative modeling aim to address these issues by providing uncertainty…

Machine Learning · Computer Science 2025-10-28 Juan Nathaniel , Pierre Gentine

Generalisability and the consistency of the a posteriori results are the most critical points of view regarding data-driven turbulence models. This study presents a progressive improvement of turbulence models using simulation-driven…

Fluid Dynamics · Physics 2025-03-26 M. J. Rincón , A. Amarloo , M. Reclari , X. I. A. Yang , M. Abkar

Extreme floods pose escalating risks in a changing climate, yet forecasting remains challenging due to peak flow underestimation and high uncertainty. We introduce DRUM, a diffusion-based probabilistic deep learning approach that advances…

Congestion and extreme events in transportation networks are emergent phenomena with significant socio-economic implications. In this work, we study congestion and extreme event properties on real urban street (planar) networks drawn from…

Physics and Society · Physics 2025-05-22 Ajay Agarwal , M. S. Santhanam

Because of the impact of extreme heat waves and heat domes on society and biodiversity, their study is a key challenge. We specifically study long-lasting extreme heat waves, which are among the most important for climate impacts. Physics…

Machine Learning · Computer Science 2022-01-14 Valérian Jacques-Dumas , Francesco Ragone , Pierre Borgnat , Patrice Abry , Freddy Bouchet

Extreme events are occurrences whose magnitude and potential cause extensive damage on people, infrastructure, and the environment. Motivated by the extreme nature of the current global health landscape, which is plagued by the coronavirus…

Machine Learning · Computer Science 2021-06-14 Nhuong V. Nguyen , Sybille Legitime

In this study, we propose a novel approach, namely the combined Convolutional Deep Autoencoder Echo State Network (CDAE ESN) model, for the analysis and forecasting of dynamics and low order statistics in coupled turbulent channel porous…

Fluid Dynamics · Physics 2023-12-06 Xu Chu , Sandeep Pandey , Yanchao Liu , Bernhard Weigand

Accurately predicting turbulent flows remains a central challenge in fluid dynamics due to their high dimensionality and intrinsic nonlinearity. Recent developments in quantum algorithms and machine learning offer new opportunities for…

Fluid Dynamics · Physics 2025-11-25 Han Li , Yutong Lou , Dunhui Xiao

To predict a critical transition due to parameter drift without relying on model is an outstanding problem in nonlinear dynamics and applied fields. A closely related problem is to predict whether the system is already in or if the system…

Machine Learning · Computer Science 2020-12-04 Ling-Wei Kong , Hua-Wei Fan , Celso Grebogi , Ying-Cheng Lai

The Reynolds-averaged Navier-Stokes (RANS) equations are widely used in turbulence applications. They require accurately modeling the anisotropic Reynolds stress tensor, for which traditional Reynolds stress closure models only yield…

Fluid Dynamics · Physics 2022-03-23 Haitz Sáez de Ocáriz Borde , David Sondak , Pavlos Protopapas

To advance automated detection of extreme weather events, which are increasing in frequency and intensity with climate change, we explore modifications to a novel light-weight Context Guided convolutional neural network architecture trained…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Romain Lacombe , Hannah Grossman , Lucas Hendren , David Lüdeke

Extreme events that arise spontaneously in chaotic dynamical systems often have an adverse impact on the system or the surrounding environment. As such, their mitigation is highly desirable. Here, we introduce a novel control strategy for…

Fluid Dynamics · Physics 2019-09-25 Mohammad Farazmand , Themistoklis P. Sapsis

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

We present a tensor network model (TNM) for forecasting nonlinear and chaotic dynamics, bridging quantum many-body methods with classical complex systems. The TNM leverages hierarchical tensor contractions to encode non-Markovian temporal…

Quantum Physics · Physics 2025-11-13 Jia-Bin You , Jian Feng Kong , Jun Ye

Spatiotemporal chaotic systems are difficult to characterize in a model-free manner because of their high dimensionality, strong nonlinearity, and sensitivity to initial conditions. Coupled map lattices, as a representative class of…

Chaotic Dynamics · Physics 2026-04-15 Xiaoqi Lei , Zixiang Yan , Jian Gao , Yueheng Lan , Jinghua Xiao

Generative models have demonstrated remarkable success in domains such as text, image, and video synthesis. In this work, we explore the application of generative models to fluid dynamics, specifically for turbulence simulation, where…

Computational Engineering, Finance, and Science · Computer Science 2025-04-09 Nikolaj T. Mücke , Benjamin Sanderse
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