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Turbulent diffusion causes particles placed in proximity to separate. We investigate the required swimming efforts to maintain an active particle close to its passively advected counterpart. We explore optimally balancing these efforts by…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Christopher Koh , Laurent Pagnier , Michael Chertkov

We present theoretical and numerical results concerning the problem to find the path that minimizes the time to navigate between two given points in a complex fluid under realistic navigation constraints. We contrast deterministic Optimal…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Michele Buzzicotti , Luca Biferale , Fabio Bonaccorso , Patricio Clark di Leoni , Kristian Gustavsson

Fish in schooling formations navigate complex flow-fields replete with mechanical energy in the vortex wakes of their companions. Their schooling behaviour has been associated with evolutionary advantages including collective energy…

Fluid Dynamics · Physics 2022-06-08 Siddhartha Verma , Guido Novati , Petros Koumoutsakos

Hydrodynamic signatures at the Stokes regime, pertinent to motility of micro-swimmers, have a long-range nature. This implies that movements of an object in such a viscosity-dominated regime, can be felt tens of body-lengths away and…

Fluid Dynamics · Physics 2020-10-07 Mehdi Mirzakhanloo , Soheil Esmaeilzadeh , Mohammad-Reza Alam

Zermelo's navigation problem seeks the trajectory of minimal travel time between two points in a fluid flow. We address this problem for an agent -- such as a micro-robot or active particle -- that is advected by a two-dimensional flow,…

Fluid Dynamics · Physics 2025-12-29 Vladimir Parfenyev

The behavior of living systems is based on the experience they gained through their interactions with the environment [1]. This experience is stored in the complex biochemical networks of cells and organisms to provide a relationship…

Soft Condensed Matter · Physics 2022-02-14 Santiago Muiños-Landin , Keyan Ghazi-Zahedi , Frank Cichos

Swimming microrobots are increasingly developed with complex materials and dynamic shapes and are expected to operate in complex environments in which the system dynamics are difficult to model and positional control of the microrobot is…

Robotics · Computer Science 2022-01-17 Michael R. Behrens , Warren C. Ruder

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

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

To find the path that minimizes the time to navigate between two given points in a fluid flow is known as Zermelo's problem. Here, we investigate it by using a Reinforcement Learning (RL) approach for the case of a vessel which has a slip…

For decades, people have been seeking for fishlike flapping motions that can realize underwater propulsion with low energy cost. Complexity of the nonstationary flow field around the flapping body makes this problem very difficult. In…

Robotics · Computer Science 2023-06-28 Jin Zhang , Lei Zhou , Bochao Cao

We develop a deep reinforcement learning framework for controlling a bio-inspired jellyfish swimmer to navigate complex fluid environments with obstacles. While existing methods often rely on kinematic and geometric states, a key challenge…

Fluid Dynamics · Physics 2025-11-07 Yihao Chen , Yue Yang

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

Efficient swimming at low Reynolds numbers is a major concern of microbots. To compare the efficiencies of different swimmers we introduce the notion of ``swimming drag coefficient'' which allows for the ranking of swimmers. We find the…

Mathematical Physics · Physics 2009-11-10 J. E. Avron , O. Gat , O. Kenneth

Efficient locomotion is important for the evolution of complex life, yet the physical principles selecting specific swimming strokes often remain entangled with biological constraints. In viscous fluids, the scallop theorem constrains the…

Biological Physics · Physics 2026-03-11 Takahiro Kanazawa , Kenta Ishimoto , Kyogo Kawaguchi

We use reinforcement learning to find strategies that allow microswimmers in turbulence to avoid regions of large strain. This question is motivated by the hypothesis that swimming microorganisms tend to avoid such regions to minimise the…

Fluid Dynamics · Physics 2025-10-01 Navid Mousavi , Jingran Qiu , Lihao Zhao , Bernhard Mehlig , Kristian Gustavsson

Coordinating micro-robotic swarms in physiologically realistic, time-dependent fluid environments remains an unsolved challenge for biomedical and environmental applications. We present a hybrid Computational Fluid Dynamics -…

Robotics · Computer Science 2026-05-26 Josef Berman , Oren Gal

We consider the problem of two active particles in 2D complex flows with the multi-objective goals of minimizing both the dispersion rate and the energy consumption of the pair. We approach the problem by means of Multi Objective…

Fluid Dynamics · Physics 2023-03-06 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

Reinforcement learning is applied to the development of control strategies in order to reduce skin friction drag in a fully developed turbulent channel flow at a low Reynolds number. Motivated by the so-called opposition control (Choi et…

Fluid Dynamics · Physics 2023-04-26 Takahiro Sonoda , Zhuchen Liu , Toshitaka Itoh , Yosuke Hasegawa

Reinforcement learning (RL) algorithms have become indispensable tools in artificial intelligence, empowering agents to acquire optimal decision-making policies through interactions with their environment and feedback mechanisms. This study…

Machine Learning · Computer Science 2024-03-28 Ergon Cugler de Moraes Silva