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A model for the pseudo-turbulent Reynolds stress tensor in compressible flows through monodisperse particle clouds is developed based on data from particle resolved numerical simulations. This model extends previous models for the…

Fluid Dynamics · Physics 2025-05-09 Andreas Nygård Osnes , Magnus Vartdal

Turbulent emulsions are ubiquitous in chemical engineering, food processing, pharmaceuticals, and other fields. However, our experimental understanding of this area remains limited due to the multi-scale nature of turbulent flow and the…

Fluid Dynamics · Physics 2025-04-08 Yaning Fan , Yi-Bao Zhang , Jinghong Su , Lei Yi , Cheng Wang , Chao Sun

An exact analytical method for determining the Lagrangian velocity correlation and the diffusion coefficient for particles moving in a stochastic velocity field is derived. It applies to divergence-free 2-dimensional Gaussian stochastic…

Plasma Physics · Physics 2007-05-23 M. Vlad , F. Spineanu , J. H. Misguich , R. Balescu

Velocity gradient tensor, $A_{ij}\equiv \partial u_i/\partial x_j$, in a turbulence flow field is modeled by separating the treatment of intermittent magnitude ($A = \sqrt{A_{ij}A_{ij}}$) from that of the more universal normalized velocity…

Fluid Dynamics · Physics 2023-05-01 Rishita Das , Sharath S. Girimaji

In probability density function (PDF) methods of turbulent flows, the joint PDF of several flow variables is computed by numerically integrating a system of stochastic differential equations for Lagrangian particles. A set of parallel…

Fluid Dynamics · Physics 2010-06-04 J. Bakosi , P. Franzese , Z. Boybeyi

We study general aspects of active motion with fluctuations in the speed and the direction of motion in two dimensions. We consider the case in which fluctuations in the speed are not correlated to fluctuations in the direction of motion,…

Biological Physics · Physics 2009-11-13 Fernando Peruani , Luis G. Morelli

Low Stokes number particles at dilute concentrations in turbulent flows can reasonably be approximated as passive scalars. The added presence of a drift velocity due to buoyancy or gravity when considering the transport of such passive…

Fluid Dynamics · Physics 2024-11-20 Omkar B. Shende , Liam Storan , Ali Mani

The advection and mixing of a scalar quantity by fluid flow is an important problem in engineering and natural sciences. If the fluid is turbulent, the statistics of the passive scalar exhibit complex behavior. This paper is concerned with…

Fluid Dynamics · Physics 2022-07-13 Mnerh Alqahtani , Leonardo Grigorio , Tobias Grafke

Scattering through natural porous formations (by far the most ubiquitous example of disordered media) represents a formidable tool to identify effective flow and transport properties. In particular, we are interested here in the scattering…

Soft Condensed Matter · Physics 2023-05-16 Gerardo Severino , Francesco Giannino

Cellular suspensions such as dense bacterial flows exhibit a turbulence-like phase under certain conditions. We study this phenomenon of "active turbulence" statistically by using numerical tools. Following Wensink et al. [Proc. Natl. Acad.…

Fluid Dynamics · Physics 2018-02-15 Martin James , Michael Wilczek

We construct sub-grid scale models of incompressible fluids by considering expectations of semi-martingale Lagrangian particle trajectories. Our construction is based on the Lagrangian decomposition of flow maps into mean and fluctuation…

Mathematical Physics · Physics 2025-04-15 Theo Diamantakis , Ruiao Hu

We investigate the statistics of orientation of small, neutrally buoyant, spherical tracers whose center of mass is displaced from the geometrical center. If appropriate-sized particles are considered, a linear relation can be derived…

Fluid Dynamics · Physics 2013-05-14 Guido Boffetta , Massimo Cencini , Filippo De Lillo , Francesco Santamaria

We introduce the velocity (Vs) of stagnation points as a means to characterise and measure statistical persistence of streamlines. Using theoretical arguments, Direct Numerical Simulations (DNS) and Kinematic Simulations (KS) of…

Chaotic Dynamics · Physics 2009-11-10 S. Goto , D. R. Osborne , J. C. Vassilicos , J. D. Haigh

We analyze numerically the time-dependent linear operators that govern the dynamics of Eulerian correlation functions of a decaying passive scalar advected by a stationary, forced 2-dimensional Navier-Stokes turbulence. We show how to…

Chaotic Dynamics · Physics 2009-11-10 Yoram Cohen , Anna Pomyalov , Itamar Procaccia

A volume-filtered Euler-Lagrange large eddy simulation methodology is used to predict the physics of turbulent liquid-solid slurry flow through a horizontal pipe. A dynamic Smagorinsky model based on Lagrangian averaging is employed to…

Fluid Dynamics · Physics 2014-12-03 Sunil K. Arolla , Olivier Desjardins

A compressible generalization of the Kraichnan model (Phys. Rev. Lett. 72, 1016 (1994)) of passive scalar advection is considered. The dynamical role of compressibility on the intermittency of the scalar statistics is investigated for the…

chao-dyn · Physics 2009-10-31 A. Celani , A. Lanotte , A. Mazzino

We study the evolution of a passive scalar subject to molecular diffusion and advected by an incompressible velocity field on a 2D bounded domain. The velocity field is $u = \nabla^\perp H$, where H is an autonomous Hamiltonian whose level…

Analysis of PDEs · Mathematics 2024-07-10 Michele Dolce , Carl Johan Peter Johansson , Massimo Sorella

The formation and development of oscillations is an important traffic flow phenomenon. Recent studies found that along a vehicle platoon described in the Lagrangian specification, traffic oscillations grow in a concave way. Since stationary…

Pattern Formation and Solitons · Physics 2018-10-22 Junfang Tian , Martin Treiber , Rui Jiang , Xiaopeng Li , Bin Jia , Ziyou Gao

Sampling synthetic turbulent fields as a computationally tractable surrogate for direct numerical simulations (DNS) is an important practical problem in various applications, and allows to test our physical understanding of the main…

Fluid Dynamics · Physics 2025-11-19 Timo Schorlepp , Katharina Kormann , Jeremiah Lübke , Tobias Schäfer , Rainer Grauer

Time scales of turbulent strain activity, denoted as the strain persistence times of first and second order, are obtained from time-dependent expectation values and correlation functions of lagrangian rate-of-strain eigenvalues taken in…

Fluid Dynamics · Physics 2014-01-06 L. Moriconi , R. M. Pereira
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