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Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to…

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

Chaotic Dynamics · Physics 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

The dispersion of Lagrangian particle pairs is a fundamental process in turbulence, with implications for mixing, transport, and the statistical properties of particles in geophysical and environmental flows. While classical theories…

Fluid Dynamics · Physics 2025-09-17 Christian Reartes , Pablo D. Mininni , Raffaele Marino

We investigate the predictability of extreme events in time series. The focus of this work is to understand under which circumstances large events are better predictable than smaller events. Therefore we use a simple prediction algorithm…

Data Analysis, Statistics and Probability · Physics 2008-01-30 S. Hallerberg , H. Kantz

The transition to turbulence exhibits remarkable spatio-temporal behavior that continues to defy detailed understanding. Near the onset to turbulence in pipes, transient turbulent regions decay either directly or, at higher Reynolds numbers…

Fluid Dynamics · Physics 2016-11-10 Hong-Yan Shih , Tsung-Lin Hsieh , Nigel Goldenfeld

Extreme-event predictability in turbulence is strongly state dependent, yet event-by-event predictability horizons are difficult to quantify without access to governing equations or costly perturbation ensembles. Here we train an…

Chaotic Dynamics · Physics 2026-03-17 Yuxuan Yang , Chenyu Dong , Gianmarco Mengaldo

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Direct numerical simulation is used to investigate the decay exponent of isotropic homogeneous turbulence over a range of Reynolds numbers sufficient to display both high and low Re number decay behavior. The initial turbulence is generated…

Fluid Dynamics · Physics 2010-07-29 J. Blair Perot

The occurrence of some extreme events (such as marine heatwaves or exceptional circulations) can cause other extreme events (such as heatwave, drought and flood). These concurrent extreme events have a great impact on environment and human…

Atmospheric and Oceanic Physics · Physics 2025-09-08 Siyang Yu , Yu Huang , Zuntao Fu

Turbulence, the ubiquitous and chaotic state of fluid motions, is characterized by strong and statistically non-trivial fluctuations of the velocity field, over a wide range of length- and time-scales, and it can be quantitatively described…

Fluid Dynamics · Physics 2021-03-31 Alessandro Corbetta , Vlado Menkovski , Roberto Benzi , Federico Toschi

We present a numerical study of two-particle dispersion from point-sources in 3D incompressible Homogeneous and Isotropic turbulence, at Reynolds number Re \simeq 300. Tracer particles are emitted in bunches from localized sources smaller…

Fluid Dynamics · Physics 2015-06-05 R. Scatamacchia , L. Biferale , F. Toschi

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approximate approach is offerred that effectively propagates the statistics in time. Loss of…

Fluid Dynamics · Physics 2007-05-23 Edsel A. Ammons

Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environments like financial markets. Statistical analysis and…

Chaotic Dynamics · Physics 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

We investigate precursors and predictability of extreme increments in a time series. The events we are focusing on consist in large increments within successive time steps. We are especially interested in understanding how the quality of…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Sarah Hallerberg , Eduardo G. Altmann , Detlef Holstein , Holger Kantz

Turbulence problem is often considered as "the last unsolved problem of classical physics". It is due to strong interaction between velocity and/or velocity gradient fluctuations, a high Reynolds number flow is a fascinating mixture of…

Fluid Dynamics · Physics 2017-08-25 Victor Yakhot , Diego A. Donzis

The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved simulations at the high Reynolds numbers that typically occur…

Fluid Dynamics · Physics 2025-07-01 Lukas Bentkamp , Michael Wilczek

Underwater explosions produce complex fluid phenomena relevant to diverse applications including maritime engineering, medical therapeutics, and inertial confinement fusion. These systems exhibit multiphase flows, chemical kinetics, and…

Fluid Dynamics · Physics 2025-07-02 Francis G. VanGessel , Mitul Pandya

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

The experiments by Darbyshire and Mullin (J. Fluid Mech. 289, 83 (1995)) on the transition to turbulence in pipe flow show that there is no sharp border between initial conditions that trigger turbulence and those that do not. We here…

Fluid Dynamics · Physics 2009-11-10 Holger Faisst , Bruno Eckhardt

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and numerical fully developed turbulent flows. We define it as the unique statistically stationary solution of a causal dynamics, given by a stochastic…