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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…

Particles with density different from that of the advecting turbulent fluid cluster due to the different response of light/heavy particles to turbulent fluctuations. This study focuses on the quantitative characterization of the segregation…

混沌动力学 · 物理学 2008-08-28 Enrico Calzavarini , Massimo Cencini , Detlef Lohse , Federico Toschi

Small heavy particles in a fluid flow respond to the flow on a time-scale proportional to their inertia, or Stokes number St. Their behaviour is thought to be gradually modified as St increases. We show, in the steady spatially-periodic…

流体动力学 · 物理学 2023-04-20 Anu V. S. Nath , Anubhab Roy , S. Ravichandran , Rama Govindarajan

We present an accurate Lagrangian method based on vortex particles, level-sets, and immersed boundary methods, for animating the interplay between two fluids and rigid solids. We show that a vortex method is a good choice for simulating…

This work presents an approach to the Navier-Stokes equations that is phrased in unbiased Eulerian coordinates, yet describes objects that have Lagrangian significance: particle paths, their dispersion and diffusion. The commutator between…

偏微分方程分析 · 数学 2009-10-31 P. Constantin

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the…

计算物理 · 物理学 2021-08-11 Dominik Wilde , Andreas Krämer , Dirk Reith , Holger Foysi

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

流体动力学 · 物理学 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

We consider numerical algorithms for the simulation of the rheology of two-dimensional vesicles suspended in a viscous Stokesian fluid. The vesicle evolution dynamics is governed by hydrodynamic and elastic forces. The elastic forces are…

数值分析 · 数学 2015-06-17 Bryan Quaife , George Biros

Based on Sirovich's two-fluid kinetic theory and a dodecagonal discrete velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated.…

统计力学 · 物理学 2009-11-10 Aiguo Xu

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

流体动力学 · 物理学 2024-06-26 Paul Meakin , Zhijie Xu

The dynamics of viscous thin-film particle-laden flows down inclined surfaces are commonly modeled with one of two approaches: a diffusive flux model or a suspension balance model. The diffusive flux model assumes that the particles migrate…

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

流体动力学 · 物理学 2016-08-08 Rastin Matin , Marek Krzysztof Misztal , Anier Hernandez-Garcia , Joachim Mathiesen

Experiments and numerical simulations of inertial particles in underexpanded jets are performed. The structure of the jet is controlled by varying the nozzle pressure ratio, while the influence of particles on emerging shocks and…

Phase separation in a complex fluid with lamellar order has been studied in the case of cold thermal fronts propagating diffusively from external walls. The velocity hydrodynamic modes are taken into account by coupling the…

软凝聚态物质 · 物理学 2011-05-18 G. Gonnella , A. Lamura , A. Tiribocchi

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

统计力学 · 物理学 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

The developments over the last five decades concerning numerical discretisations of the incompressible Navier--Stokes equations have lead to reliable tools for their approximation: those include stable methods to properly address the…

数值分析 · 数学 2025-08-12 Dominic Breit , Andreas Prohl , Jörn Wichmann

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

混沌动力学 · 物理学 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

The past two decades showed a rapid growing of physically-based modeling of fluids for computer graphics applications. In this area, a common top down approach is to model the fluid dynamics by Navier-Stokes equations and apply a numerical…

图形学 · 计算机科学 2007-05-23 Gilson A. Giraldi , Adilson V. Xavier , Antonio L. Apolinario , Paulo S. Rodrigues

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by…

软凝聚态物质 · 物理学 2009-11-11 K. Furtado , J. M. Yeomans

We present a simulation scheme for discrete-velocity gases based on {\em local thermodynamic equilibrium}. Exploiting the kinetic nature of discrete-velocity gases, in that context, results in a natural splitting of fluxes, and the…

comp-gas · 物理学 2008-02-03 Balu Nadiga , Dale Pullin
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