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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

This study presents novel drag reduction active-flow-control (AFC) strategies} for a three-dimensional cylinder immersed in a flow at a Reynolds number based on freestream velocity and cylinder diameter of $Re_D=3900$. The cylinder in this…

Fluid Dynamics · Physics 2025-02-20 P. Suárez , F. Álcantara-Ávila , A. Miró , J. Rabault , B. Font , O. Lehmkuhl , R. Vinuesa

The hypersonic unstart phenomenon poses a major challenge to reliable air-breathing propulsion at Mach 5 and above, where strong shock-boundary-layer interactions and rapid pressure fluctuations can destabilize inlet operation. Here, we…

Machine Learning · Computer Science 2026-02-04 Trishit Mondal , Ameya D. Jagtap

Designing active-flow-control (AFC) strategies for three-dimensional (3D) bluff bodies is a challenging task with critical industrial implications. In this study we explore the potential of discovering novel control strategies for drag…

Fluid Dynamics · Physics 2025-03-04 P. Suárez , F. Alcántara-Ávila , J. Rabault , A. Miró , B. Font , O. Lehmkuhl , R. Vinuesa

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

Deep artificial neural networks (ANNs) used together with deep reinforcement learning (DRL) are receiving growing attention due to their capabilities to control complex problems. This technique has been recently used to solve problems…

This study presents a deep learning model-based reinforcement learning (DL-MBRL) approach for active control of two-dimensional (2D) wake flow past a square cylinder using antiphase jets. The DL-MBRL framework alternates between interacting…

Fluid Dynamics · Physics 2024-08-27 Meng Zhang , Mustafa Z. Yousif , Minze Xu , Haifeng Zhou , Linqi Yu , HeeChang Lim

We introduce a reinforcement learning (RL) environment to design and benchmark control strategies aimed at reducing drag in turbulent fluid flows enclosed in a channel. The environment provides a framework for computationally-efficient,…

Fluid Dynamics · Physics 2023-02-09 L. Guastoni , J. Rabault , P. Schlatter , H. Azizpour , R. Vinuesa

Flow control of bluff bodies plays a critical role in engineering applications. In this study, deep reinforcement learning (DRL) is employed to develop flow control strategies for the flow past an elliptical cylinder confined between two…

Fluid Dynamics · Physics 2025-07-22 Wang Jia , Hang Xu

We present a data-driven numerical approach for on-the-fly active flow control and demonstrate its effectiveness for drag reduction in two-dimensional incompressible flow past a cylinder. The method is based on flow map learning (FML), a…

Numerical Analysis · Mathematics 2026-03-10 Xinyu Liu , Qifan Chen , Dongbin Xiu

In this work, deep reinforcement learning (DRL) is applied to active flow control (AFC) over a threedimensional SD7003 wing at a Reynolds number of Re = 60,000 and angle of attack of AoA = 14 degrees. In the uncontrolled baseline case, the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-15 R. Montalà , B. Font , P. Suárez , J. Rabault , O. Lehmkuhl , R. Vinuesa , I. Rodriguez

This paper focuses on developing a deep reinforcement learning (DRL) control strategy to mitigate aerodynamic forces acting on a three dimensional (3D) square cylinder under high Reynolds number flow conditions. Four jets situated at the…

Fluid Dynamics · Physics 2024-01-24 Lei Yan , Gang Hu , Wenli Chen , Bernd R. Noack

Active flow control of compressible transonic shock-boundary layer interactions over a two-dimensional RAE2822 airfoil at Re = 50,000 is investigated using deep reinforcement learning (DRL). The flow field exhibits highly unsteady dynamics,…

Fluid Dynamics · Physics 2025-11-12 Trishit Mondal , Ricardo Vinuesa , Ameya D. Jagtap

Skin-friction drag induced by wall-bounded turbulent flows accounts for a substantial fraction of energy consumption across commercial aerospace, wind energy, and marine transport. Its active reduction is one of the highest-value targets in…

Fluid Dynamics · Physics 2026-05-15 Atharva Mahajan , Abhijeet Vishwasrao , Yuning Wang , Ricardo Vinuesa

This study explores the use of deep reinforcement learning (DRL) for active flow control (AFC) to reduce flow separation on wings at high angles of attack. Concretely, here the DRL agent controls the flow over the three-dimensional NACA0012…

Computational Engineering, Finance, and Science · Computer Science 2025-09-15 R. Montalà , B. Font , P. Suárez , J. Rabault , O. Lehmkuhl , R. Vinuesa , I. Rodriguez

We systematically investigated a reinforcement learning (RL)-based closed-loop active flow control strategy to enhance the lift-to-drag ratio of a wing section with an NLF(1)-0115 airfoil at an angle of attack 5 degree. The effects of key…

Fluid Dynamics · Physics 2025-05-09 Qiong Liu , Luis Javier Trujillo Corona , Fangjun Shu , Andreas Gross

Active flow control remains a significant challenge due to the high-dimensional, nonlinear nature of fluid dynamics. Quantum machine learning may prove effective in addressing these issues, given that quantum computing possesses superiority…

Fluid Dynamics · Physics 2026-01-27 Hongfu Zhang , Hui Tang

Deep reinforcement learning (DRL) for fluidic pinball, three individually rotating cylinders in the uniform flow arranged in an equilaterally triangular configuration, can learn the efficient flow control strategies due to the validity of…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Haodong Feng , Yue Wang , Hui Xiang , Zhiyang Jin , Dixia Fan

Turbulent-flow control aims to develop strategies that effectively manipulate fluid systems, such as the reduction of drag in transportation and enhancing energy efficiency, both critical steps towards reducing global CO$_2$ emissions. Deep…

Fluid Dynamics · Physics 2026-05-25 Miguel Beneitez , Andres Cremades , Luca Guastoni , Ricardo Vinuesa

We train active neural-network flow controllers using a deep learning PDE augmentation method to optimize lift-to-drag ratios in turbulent airfoil flows at Reynolds number $5\times10^4$ and Mach number 0.4. Direct numerical simulation and…

Fluid Dynamics · Physics 2025-10-09 Xuemin Liu , Tom Hickling , Jonathan F. MacArt