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The effect of anisotropy on the statistics of a passive tracer transported by a turbulent flow is investigated. We show that under broad conditions an arbitrarily small amount of anisotropy propagates to the large scales where it eventually…

Chaotic Dynamics · Physics 2009-11-11 Antonio Celani , Agnese Seminara

Certain aspects of the mean-field theory of turbulent passive scalar transport and of mean-field electrodynamics are considered with particular emphasis on aspects of compressible fluids. It is demonstrated that the total mean-field…

Astrophysics of Galaxies · Physics 2015-03-19 Karl-Heinz Rädler , Axel Brandenburg , Fabio Del Sordo , Matthias Rheinhardt

Drifters deployed in close proximity collectively provide a unique observational data set with which to separate mesoscale and submesoscale flows. In this paper we provide a principled approach for doing so by fitting observed velocities to…

Atmospheric and Oceanic Physics · Physics 2020-12-29 Sarah Oscroft , Adam M. Sykulski , Jeffrey J. Early

Pre-asymptotic transport of a scalar quantity passively advected by a velocity field formed by a large-scale component superimposed to a small-scale fluctuation is investigated both analytically and by means of numerical simulations.…

Chaotic Dynamics · Physics 2007-05-23 A. Mazzino , S. Musacchio , A. Vulpiani

In this article, we propose a novel scalar-transport model for the simulation of scalar quantities in two-phase flows with a phase-field method (diffuse-interface method). In a two-phase flow, the scalar quantities typically have disparate…

Fluid Dynamics · Physics 2020-11-24 Suhas S. Jain , Ali Mani

The advection of a passive scalar by a quenched (frozen) incompressible velocity field is studied by extensive high precision numerical simulation and various approximation schemes. We show that second order self consistent perturbation…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. S. Dean , I. T. Drummond , R. R. Horgan

An inviscid two-dimensional fluid model with nonlinear dispersion that arises simultaneously in coarse-grained descriptions of the dynamics of the Euler equation and in the description of non-Newtonian fluids of second grade is considered.…

Fluid Dynamics · Physics 2007-05-23 Balasubramanya T. Nadiga

Data from Direct Numerical Simulations of disperse bubbly flows in a vertical channel are used to study the effect of the bubbles on the carrier-phase turbulence. A new method is developed, based on the barycentric map approach, that allows…

Fluid Dynamics · Physics 2021-10-04 Tian Ma , Bernhard Ott , Jochen Frohlich , Andrew D. Bragg

This work extends the minimum-dissipation model of large-eddy simulation and symmetry-preserving discretization to account for active or passive scalar transport and complex physical mechanisms.This novel scalar-minimum-dissipation model…

Fluid Dynamics · Physics 2025-03-03 Jing Sun , F. Xavier Trias , Roel Verstappen

The dispersion of a passive scalar in a fluid through the combined action of advection and molecular diffusion is often described as a diffusive process, with an effective diffusivity that is enhanced compared to the molecular value.…

Fluid Dynamics · Physics 2015-06-18 P. H. Haynes , J. Vanneste

Transport of scalar fields in compressible flow is investigated. The effective equations governing the transport at scales large compared to those of the advecting flow are derived by using multi-scale techniques. Ballistic transport…

chao-dyn · Physics 2009-10-28 M. Vergassola , M. Avellaneda

A fluid, with broken time-reversal symmetry, would exhibit odd transport coefficients, such as odd viscosity, thermal conductivity and diffusion coefficient, which may fundamentally alter the fluid properties and significantly influence the…

Soft Condensed Matter · Physics 2026-05-07 Yuxing Jiao , Mingcheng Yang

We investigate the large-scale statistics of a passive scalar transported by a turbulent velocity field. At scales larger than the characteristic lengthscale of scalar injection, yet smaller than the correlation length of the velocity, the…

Chaotic Dynamics · Physics 2009-11-11 Antonio Celani , Agnese Seminara

In this study, we revisit the spectral transfer model for the turbulent intensity in the passive scalar transport (under large-scale anisotropic forcing), and a subsequent modification to the scaling of scalar variance cascade is presented.…

Fluid Dynamics · Physics 2021-11-15 Ali Akhavan-Safaei , Mohsen Zayernouri

Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on the macroscopic scale, while effective parameters are…

Analysis of PDEs · Mathematics 2022-02-01 Stephan Gärttner , Peter Knabner , Nadja Ray

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, each weighted by an independent symmetric…

Mathematical Physics · Physics 2026-02-25 Paolo Cifani , Franco Flandoli , Lorenzo Marino

Diffusiophoresis, a ubiquitous phenomenon that induces particle transport whenever solute concentration gradients are present, was recently observed in the context of microsystems and shown to strongly impact colloidal transport (patterning…

We map molecular dynamics simulations of fluid-fluid interfaces onto mesoscale continuum theories for partially miscible fluids. Unlike most previous work, we examine not only the interface order parameter and density profiles, but also the…

Soft Condensed Matter · Physics 2009-11-10 Colin Denniston , Mark O. Robbins

Recent theoretical progress using multiscale asymptotic analysis has revealed various possible regimes of stratified turbulence. Notably, buoyancy transport can either be dominated by advection or diffusion, depending on the effective…

Fluid Dynamics · Physics 2024-11-20 Pascale Garaud , Greg P. Chini , Laura Cope , Kasturi Shah , Colm-cille P. Caulfield
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