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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

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

Computational Physics · Physics 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

We study the three-dimensional clustering of velocity stagnation points, of nulls of the vorticity and of the Lagrangian acceleration, and of inertial particles in turbulent flows at fixed Reynolds numbers, but under different large-scale…

In this work we compare different drag-reduction strategies that compute their actuation based on the fluctuations at a given wall-normal location in turbulent open channel flow. In order to perform this study, we implement and describe in…

Fluid Dynamics · Physics 2023-09-07 L. Guastoni , J. Rabault , H. Azizpour , R. Vinuesa

From the simplest models to complex deep neural networks, modeling turbulence with machine learning techniques still offers multiple challenges. In this context, the present contribution proposes a robust strategy using patch-based training…

Fluid Dynamics · Physics 2021-10-27 Aakash Patil , Jonathan Viquerat , George El Haber , Elie Hachem

We present the first application of an Artificial Neural Network trained through a Deep Reinforcement Learning agent to perform active flow control. It is shown that, in a 2D simulation of the Karman vortex street at moderate Reynolds…

Fluid Dynamics · Physics 2019-03-27 Jean Rabault , Miroslav Kuchta , Atle Jensen , Ulysse Reglade , Nicolas Cerardi

The real power of artificial intelligence appears in reinforcement learning, which is computationally and physically more sophisticated due to its dynamic nature. Rotation and injection are some of the proven ways in active flow control for…

Fluid Dynamics · Physics 2024-01-02 Kamyar Dobakhti , Jafar Ghazanfarian

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

Manipulation of small-scale particles across streamlines is the elementary task of microfluidic devices. Many such devices operate at very low Reynolds numbers and deflect particles using arrays of obstacles, but a systematic quantification…

Fluid Dynamics · Physics 2025-03-19 Xuchen Liu , Partha Kumar Das , Sascha Hilgenfeldt

The Karman Vortex Street has been investigated for over a century and offers a reference case for investigation of flow stability and control of high dimensionality, non-linear systems. Active flow control, while of considerable interest…

Fluid Dynamics · Physics 2018-09-03 Jean Rabault , Ulysse Reglade , Nicolas Cerardi , Miroslav Kuchta , Atle Jensen

Inertial microfluidics is a promising tool for many lab-on-a-chip applications. Particles in channel flows with Reynolds numbers above one undergo cross-streamline migration to a discrete set of equilibrium positions in square and…

Fluid Dynamics · Physics 2014-02-04 Christopher Prohm , Holger Stark

Two-way coupled direct numerical simulations are used to investigate the effects of inertial particles on self-sustained, turbulent coherent structures (i.e. the so-called the regeneration cycle) in plane Couette flow at low Reynolds number…

Fluid Dynamics · Physics 2019-01-30 Guiquan Wang , David Richter

We study an experimental system of hard granular squares in two dimensions, energized by vibration. The interplay of order in the orientations and positions of anisotropic particles allows for a rich set of phases. We measure the structure…

Soft Condensed Matter · Physics 2016-08-23 Lee Walsh , Narayanan Menon

The use of robotics in controlled environments has flourished over the last several decades and training robots to perform tasks using control strategies developed from dynamical models of their hardware have proven very effective. However,…

Robotics · Computer Science 2019-07-16 Zach Dwiel , Madhavun Candadai , Mariano Phielipp

Machine-learning techniques are emerging as a valuable tool in experimental physics, and among them, reinforcement learning offers the potential to control high-dimensional, multistage processes in the presence of fluctuating environments.…

Small heavy particles cannot get attracted into a region of closed streamlines in a non-accelerating frame (Sapsis & Haller 2010). In a rotating system, however, particles can get trapped (Angilella 2010) near vortices. We perform numerical…

Fluid Dynamics · Physics 2025-02-12 Saumav Kapoor , Divya Jaganathan , Rama Govindarajan

This work studies the application of a reinforcement-learning-based (RL) flow control strategy to the flow past a cylinder confined between two walls in order to suppress vortex shedding. The control action is blowing and suction of two…

Fluid Dynamics · Physics 2021-12-16 Jichao Li , Mengqi Zhang

We study the hydrodynamics of spherical spinners suspended in a Newtonian fluid at inertial regime. We observe a spontaneous condensation of the spinners into particle rich regions, at low but finite particle Reynolds numbers and volume…

Soft Condensed Matter · Physics 2020-04-01 Zaiyi Shen , Juho S. Lintuvuori

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

Many applications require recovering the geometry information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic scattering of multiple rigid particles in three…

Mathematical Physics · Physics 2022-09-21 Jun Lai , Jinrui Zhang