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Unstable shear layers in environmental and industrial flows roll up into a series of vortices, which often form complex nonlinear merging patterns like pairs and triplets. These patterns crucially determine the subsequent turbulence, mixing…

Fluid Dynamics · Physics 2019-10-23 Anirban Guha , Mona Rahmani

The identification and visualization of Lagrangian structures in flows plays a crucial role in the study of dynamic systems and fluid dynamics. The Finite Time Lyapunov Exponent (FTLE) has been widely used for this purpose; however, it only…

Dynamical Systems · Mathematics 2024-01-18 Yun Chen Tsai , Shingyu Leung

For the class of differentiable maps of the plane and, in particular, for standard-like maps (McMillan form), a simple relation is shown between the directions of the local invariant manifolds of a generic point and its contribution to the…

Mathematical Physics · Physics 2015-02-25 Matteo Sala , Roberto Artuso

From a direct numerical simulation of the MHD equations we show, for the first time, that velocity and magnetic-field structure functions exhibit multiscaling, extended self similarity (ESS), and generalized extended self similarity (GESS).…

chao-dyn · Physics 2009-10-30 Abhik Basu , Anirban Sain , Sujan K. Dhar , Rahul Pandit

We study the vertical dispersion and distribution of negatively buoyant rigid microplastics within a realistic circulation model of the Mediterranean sea. We first propose an equation describing their idealized dynamics. In that framework,…

The dynamics of inertial particles in fluid flows have been the focus of extensive research due to their relevance in a wide range of industrial and environmental processes. Earlier studies have examined the dynamics of aerosols and bubbles…

Fluid Dynamics · Physics 2024-09-05 P. Swaathi , Sanjit Das , N. Nirmal Thyagu

Topological entropy is a common measure of the rate of mixing in a flow. It can be computed by partition methods, or by estimating the growth rate of material lines or other material elements. This requires detailed knowledge of the…

Chaotic Dynamics · Physics 2015-08-07 Marko Budisic , Jean-Luc Thiffeault

Unstable equilibrium solutions in a homogeneous shear flow with sinuous symmetry are numerically found in large-eddy simulations (LES) with no kinetic viscosity. The small-scale properties are determined by the mixing length scale $l_S$…

Fluid Dynamics · Physics 2017-10-11 Atsushi Sekimoto , Javier Jiménez

The processes and instabilities occurring at the ocean surface in the northern Gulf of Mexico are investigated with a regional model at submesoscale-permitting horizontal grid resolution (i.e., HR with dx = 1.6 km) over a three-year period,…

Atmospheric and Oceanic Physics · Physics 2016-05-04 Hao Luo , Annalisa Bracco , Yuley Cardona , Jim C. McWilliams

The non-equilibrium structural and dynamical properties of flexible polymers confined in a square microchannel and exposed to a Poiseuille flow are investigated by mesoscale simulations. The chain length and the flow strength are…

Soft Condensed Matter · Physics 2009-11-13 L. Cannavacciuolo , R. G. Winkler , G. Gompper

Remarkably persistent mixing and non-mixing regions (islands) are observed to coexist in a three-dimensional dynamical system where randomness is expected. The track of an x-ray opaque particle in a spherical shell half-filled with dry…

Soft Condensed Matter · Physics 2018-09-05 Zafir Zaman , Mengqi Yu , Paul P. Park , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

The stability properties of intermediate-order climate models are investigated by computing their Lyapunov exponents (LEs). The two models considered are PUMA (Portable University Model of the Atmosphere), a primitive-equation simple…

Atmospheric and Oceanic Physics · Physics 2018-06-07 Lesley De Cruz , Sebastian Schubert , Jonathan Demaeyer , Valerio Lucarini , Stéphane Vannitsem

We develop a family of expanded mixed Multiscale Finite Element Methods (MsFEMs) and their hybridizations for second-order elliptic equations. This formulation expands the standard mixed Multiscale Finite Element formulation in the sense…

Numerical Analysis · Mathematics 2012-05-22 Lijian Jiang , Dylan Copeland , J. David Moulton

When the motion of a motile cell is observed closely, it appears erratic, and yet the combination of nonequilibrium forces and surfaces can produce striking examples of organization in microbial systems. While most of our current…

This paper compares the advantages, limitations, and computational considerations of using Finite-Time Lyapunov Exponents (FTLEs) and Lagrangian Descriptors (LDs) as tools for identifying barriers and mechanisms of fluid transport in…

Fluid Dynamics · Physics 2021-03-30 Timothy Getscher

We use $^{12}$CO (J=1-0) MWISP data to study turbulence in a segment of the Local Arm. Velocity slices at different kinematic distances show similar spatial power spectra (SPSs) and structure functions (SFs), demonstrating that the entire…

Astrophysics of Galaxies · Physics 2025-11-18 Yuehui Ma , Miaomiao Zhang , Hongchi Wang , Xuepeng Chen , Zhenyi Yue , Suziye He , Xiangyu Ou , Li Sun

The Mediterranean is strongly affected by Extreme Precipitation Events (EPEs), sometimes leading to negative impacts on society, economy, and the environment. Understanding such natural hazards and their drivers is essential to mitigate…

Atmospheric and Oceanic Physics · Physics 2021-06-16 Nikolaos Mastrantonas , Pedro Herrera-Lormendez , Linus Magnusson , Florian Pappenberger , Jörg Matschullat

In an experiment on a turbulent jet, we detect interfacial turbulent layers in a frame that moves, on average, along with the \tnti. This significantly prolongs the observation time of scalar and velocity structures and enables the…

Fluid Dynamics · Physics 2025-06-09 Ali R Khojasteh , Lyke K van Dalen , Coen Been , Jerry Westerweel , Willem van de Water

Upper-ocean turbulent flows at horizontal length scales smaller than the deformation radius depart from geostrophic equilibrium and develop important vertical velocities, which are key to marine ecology and climatic processes. Due to their…

Fluid Dynamics · Physics 2023-12-04 Michael Maalouly , Guillaume Lapeyre , Bastien Cozian , Gilmar Mompean , Stefano Berti

In this paper, by using a stochastic reaction-diffusion-taxis model, we analyze the picophytoplankton dynamics in the basin of the Mediterranean Sea, characterized by poorly mixed waters. The model includes intraspecific competition of…

Populations and Evolution · Quantitative Biology 2012-10-22 G. Denaro , D. Valenti , A. La Cognata , B. Spagnolo , A. Bonanno , G. Basilone , S. Mazzola , S. Zgozi , S. Aronica , C. Brunet