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We study the Lagrangian dynamics of passive tracers in a simple model of a driven two-dimensional vortex resembling real-world geophysical flow patterns. Using a discrete approximation of the system's transfer operator, we construct a…

混沌动力学 · 物理学 2017-04-05 Michael Lindner , Reik V. Donner

Numerical simulations of turbulent flows at realistic Reynolds numbers generally rely on filtering out small scales from the Navier Stokes equations and modeling their impact through the Reynolds stress tensor ${\tau}_{ij}$. Traditional…

流体动力学 · 物理学 2026-01-28 Flavio Tuteri , Alexandros Alexakis , Sergio Chibbaro

Geophysical flows are often turbulent and subject to rotation. This rotation modifies the structure of turbulence and is thereby expected to sensibly affect its Lagrangian properties. Here, we investigate the relative dispersion and…

流体动力学 · 物理学 2023-03-15 Juan Ignacio Polanco , S. Arun , Aurore Naso

This work evaluates the magnitude of the turbulent energy cascade in terms of forward and backward scattering by modeling the "stretch and fold" mechanism through a drift-free Hanggi-Klimontovich stochastic process. Mapping this dynamics…

流体动力学 · 物理学 2026-05-26 Nicola de Divitiis

Turbulent mixing is studied in the Lagrangian framework with an approach based on the complex network formalism. We consider the motion of passive, noninertial particles inside a turbulent channel simulated at $Re_{\tau} = 950$. The…

流体动力学 · 物理学 2020-10-28 Davide Perrone , J. G. M. Kuerten , Luca Ridolfi , Stefania Scarsoglio

The modelling of fluid particle accelerations in homogeneous, isotropic turbulence in terms of second-order stochastic models for the Lagrangian velocity is considered. The basis for the Reynolds model (A. M. Reynolds, \textit{Phys. Rev.…

软凝聚态物质 · 物理学 2007-05-23 A. G. Lamorgese , S. B. Pope , P. K. Yeung , B. L. Sawford

We propose a unified framework to study the turbulent transport problem from the perspective of nonequilibrium statistical mechanics. By combining Krarichnan's turbulence thermalization assumption and Ruelle's recent work on nonequilibrium…

统计力学 · 物理学 2021-06-15 Yuanran Zhu

This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic trajectories and high-order spectral boundary conditions. Using…

偏微分方程分析 · 数学 2024-10-31 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

We establish Lagrangian formulae for energy conservation anomalies involving the discrepancy between short-time two-particle dispersion forward and backward in time. These results are facilitated by a rigorous version of the…

偏微分方程分析 · 数学 2018-08-01 Theodore D. Drivas

The characterization of intermittency in turbulence has its roots in the K62 theory, and if no proper definition is to be found in the literature, statistical properties of intermittency were studied and models were developed in attempt to…

流体动力学 · 物理学 2021-07-14 Roxane Letournel , Ludovic Goudenège , Rémi Zamansky , Aymeric Vié , Marc Massot

We show that Lagrangian measurements in active turbulence bear imprints of turbulent and anomalous streaky hydrodynamics leading to a self-selection of persistent trajectories - Levy walks - over diffusive ones. This emergent dynamical…

流体动力学 · 物理学 2022-08-26 Rahul K. Singh , Siddhartha Mukherjee , Samriddhi Sankar Ray

The inclusion of convection in stellar evolution models lacks realism, especially near convective-radiative interfaces. Furthermore, the interaction of convection with oscillations prevent us from accurately predicting seismic frequencies,…

太阳与恒星天体物理 · 物理学 2025-10-31 J. Philidet , K. Belkacem

Lagrangian averaging plays an important role in the analysis of wave--mean-flow interactions and other multiscale fluid phenomena. The numerical computation of Lagrangian means, e.g. from simulation data, is however challenging. Typical…

流体动力学 · 物理学 2023-04-26 Hossein A. Kafiabad , Jacques Vanneste

The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a…

混沌动力学 · 物理学 2009-11-11 M. M. Bandi , J. R. Cressman , W. I. Goldburg

Lagrangian acceleration has been investigated both experimentally and numerically in the past, and it has been shown to exhibit extreme fluctuations, which have been rationalized as events in which tracer particles get trapped into vortical…

流体动力学 · 物理学 2025-07-24 Lorenzo Piro , Massimo Cencini , Roberto Benzi

We report on Lagrangian flow statistics from experimental measurements of homogeneous isotropic turbulence. The investigated flow is driven by 12 impellers inside an icosahedral volume. Seven impeller rotation rates are considered resulting…

流体动力学 · 物理学 2025-05-23 Cheng Wang , Sander G. Huisman , Thomas Basset , Romain Volk , Mickael Bourgoin

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

流体动力学 · 物理学 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

We present statistics of velocity fluctuations in both the Lagrangian and Eulerian frame for weakly driven two-dimensional turbulence. We find that simultaneous inverse energy and enstrophy ranges present in the Lagrangian and Eulerian…

软凝聚态物质 · 物理学 2007-11-01 Michael K. Rivera , Robert E. Ecke

A multiscale reduced description of turbulent free shear flows in the presence of strong stabilizing density stratification is derived via asymptotic analysis of the Boussinesq equations in the simultaneous limits of small Froude and large…

流体动力学 · 物理学 2023-06-22 Gregory P. Chini , Guillaume Michel , Keith Julien , Cesar B. Rocha , Colm-cille P. Caulfield

This dissertation discusses the intermitency phenomenon in three models of turbulence, employing analytical and numerical techniques in the analysis of stochastic processes and the probability distributions which they induce. The initial…

流体动力学 · 物理学 2020-09-04 Gabriel B. Apolinário