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In recent years, deep reinforcement learning has emerged as a technique to solve closed-loop flow control problems. Employing simulation-based environments in reinforcement learning enables a priori end-to-end optimization of the control…

Fluid Dynamics · Physics 2024-04-11 Andre Weiner , Janis Geise

In Koopman operator theory, a finite-dimensional nonlinear system is transformed into an infinite but linear system using a set of observable functions. However, manually selecting observable functions that span the invariant subspace of…

Numerical Analysis · Mathematics 2024-02-02 Yuhuang Meng , Jianguo Huang , Yue Qiu

Unsteady laminar vortex shedding over a circular cylinder is predicted using a deep learning technique, a generative adversarial network (GAN), with a particular emphasis on elucidating the potential of learning the solution of the…

Fluid Dynamics · Physics 2017-12-22 Sangseung Lee , Donghyun You

Machine learning has recently become a promising technique in fluid mechanics, especially for active flow control (AFC) applications. A recent work [J. Fluid Mech. (2019), vol. 865, pp. 281-302] has demonstrated the feasibility and…

Fluid Dynamics · Physics 2021-03-22 Feng Ren , Jean Rabault , Hui Tang

The field of scientific machine learning and its applications to numerical analyses such as CFD has recently experienced a surge in interest. While its viability has been demonstrated in different domains, it has not yet reached a level of…

Fluid Dynamics · Physics 2025-03-19 Giuseppe Bruni , Sepehr Maleki , Senthil K Krishnababu

Computational Fluid Dynamics (CFD) is the main approach to analyzing flow field. However, the convergence and accuracy depend largely on mathematical models of flow, numerical methods, and time consumption. Deep learning-based analysis of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Chang Liu

Fluid dynamics induced by periodically forced flow around a cylinder is analyzed computationally for the case when the forcing frequency is much lower than the von K{\'a}rm{\'a}n vortex shedding frequency corresponding to the constant flow…

Fluid Dynamics · Physics 2017-10-11 Bryan Glaz , Igor Mezic , Maria Fonoberova , Sophie Loire

Modeling and simulation of complex fluid flows with dynamics that span multiple spatio-temporal scales is a fundamental challenge in many scientific and engineering domains. Full-scale resolving simulations for systems such as highly…

Machine Learning · Computer Science 2025-02-13 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

Optimization and Control · Mathematics 2023-03-23 Daisuke Uchida , Karthik Duraisamy

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

Fluid Dynamics · Physics 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

A nonlinear model relating the imposed motion of a circular cylinder, submerged in a fluid flow, to the transverse force coefficient is presented. The nonlinear fluid system, featuring vortex shedding patterns, limit cycle oscillations and…

Fluid Dynamics · Physics 2020-06-11 Jan Decuyper , Tim De Troyer , Koen Tiels , Johan Schoukens , Mark C. Runacres

In this paper, an end-to-end nonlinear model reduction methodology is presented based on the convolutional recurrent autoencoder networks. The methodology is developed in the context of the overall data-driven reduced-order model framework…

Fluid Dynamics · Physics 2020-03-30 Sandeep Reddy Bukka , Allan Ross Magee , Rajeev Kumar Jaiman

Deep reinforcement learning (DRL) algorithms are rapidly making inroads into fluid mechanics, following the remarkable achievements of these techniques in a wide range of science and engineering applications. In this paper, a deep…

Fluid Dynamics · Physics 2020-12-21 M. A. Elhawary

We propose a new data-driven method to learn the dynamics of an unknown hyperbolic system of conservation laws using deep neural networks. Inspired by classical methods in numerical conservation laws, we develop a new conservative form…

Numerical Analysis · Mathematics 2022-11-29 Zhen Chen , Anne Gelb , Yoonsang Lee

Computational fluid dynamics (CFD) is a powerful tool for modeling turbulent flow and is commonly used for urban microclimate simulations. However, traditional CFD methods are computationally intensive, requiring substantial hardware…

Is a deep learning model capable of understanding systems governed by certain first principle laws by only observing the system's output? Can deep learning learn the underlying physics and honor the physics when making predictions? The…

Computational Physics · Physics 2020-06-11 Rohan Thavarajah , Xiang Zhai , Zheren Ma , David Castineira

System representations inspired by the infinite-dimensional Koopman operator (generator) are increasingly considered for predictive modeling. Due to the operator's linearity, a range of nonlinear systems admit linear predictor…

Machine Learning · Computer Science 2022-05-31 Petar Bevanda , Max Beier , Sebastian Kerz , Armin Lederer , Stefan Sosnowski , Sandra Hirche

Computational fluid dynamics (CFD) has become a cornerstone of modern water engineering, providing quantitative tools for the analysis, prediction, and management of complex hydraulic systems across a wide range of spatial and temporal…

Fluid Dynamics · Physics 2025-12-19 Anshu Kumar , Kemi Olimba , Vyacheslav Kungurtsev , Fabio V. Difonzo

We demonstrate experimentally the feasibility of applying reinforcement learning (RL) in flow control problems by automatically discovering active control strategies without any prior knowledge of the flow physics. We consider the turbulent…

Fluid Dynamics · Physics 2020-03-10 Dixia Fan , Liu Yang , Michael S Triantafyllou , George Em Karniadakis

Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising candidate for realizing quantum speedups. Here, we extend…