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This article presents a novel and practically useful link between geometric integration, low-discrepancy sampling and code coupling for Lagrangian and Eulerian Vlasov-Poisson solvers. Low-discrepancy sequences, also called quasi-random…

Numerical Analysis · Mathematics 2020-06-26 Jakob Ameres

We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter of 340 microns and Stokes number from 0.02 to 0.09 are dispersed in…

Fluid Dynamics · Physics 2012-05-30 Julian Martinez Mercado , Vivek N. Prakash , Yoshiyuki Tagawa , Chao Sun , Detlef Lohse

Non-isothermal particles suspended in a fluid lead to complex interactions -- the particles respond to changes in the fluid flow, which in turn is modified by their temperature anomaly. Here, we perform a novel proof-of-concept numerical…

Fluid Dynamics · Physics 2022-12-06 Lokahith Agasthya , Andreas Bartel , Luca Biferale , Matthias Ehrhardt , Federico Toschi

Phase-space Lagrangian dynamics in ideal fluids (i.e, continua) is usually related to the so-called {\it ideal tracer particles}. The latter, which can in principle be permitted to have arbitrary initial velocities, are understood as…

Fluid Dynamics · Physics 2015-05-13 Marco Tessarotto , Claudio Cremaschini , Massimo Tessarotto

We introduce a new Lagrangian particle tracking algorithm that tracks particles in three dimensions to separations between trajectories approaching contact. The algorithm also detects low Weber number binary collisions that result in…

Fluid Dynamics · Physics 2020-07-15 Reece Vincent Kearney , Gregory Paul Bewley

Direct estimation of Lagrangian turbulence statistics is essential for the proper modeling of dispersion and transport in highly obstructed canopy flows. However, Lagrangian flow measurements demand very high rates of data acquisition,…

Fluid Dynamics · Physics 2019-05-16 Ron Shnapp , Erez Shapira , David Peri , Yardena Bohbot-Raviv , Eyal Fattal , Alex Liberzon

We study the thermal Markovian diffusion of tracer particles in a 2D medium with spatially-varying diffusivity $D(r)$, mimicking recently measured, heterogeneous maps of the apparent diffusion coefficient in biological cells. For this…

Statistical Mechanics · Physics 2014-12-24 Andrey G. Cherstvy , Aleksei V. Chechkin , Ralf Metzler

This text describes a method to simultaneously reconstruct flow states and determine particle properties from Lagrangian particle tracking (LPT) data. LPT is a popular measurement strategy for fluids in which particles in a flow are…

Fluid Dynamics · Physics 2023-11-16 Ke Zhou , Samuel J. Grauer

Spatial regions that do not mix effectively with their surroundings and thus contribute less to the heat transport in fully turbulent three-dimensional Rayleigh-B\'{e}nard flows are identified by Lagrangian trajectories that stay together…

This paper contains the foundation for a new Particle-In-Cell model for gas discharges, based on Ito diffusion and Kinetic Monte Carlo (KMC). In the new model the electrons are described with a microscopic drift-diffusion model rather than…

Plasma Physics · Physics 2023-07-06 Robert Marskar

A key issue in fluid dynamics is the definition of the phase-space Lagrangian dynamics characterizing prescribed ideal fluids (i.e., continua), which is related to the dynamics of so-called \textit{ideal tracer particles} moving in the same…

Fluid Dynamics · Physics 2009-06-08 Massimo Tessarotto , Claudio Cremaschini , Marco Tessarotto

We consider the dynamics of small tracer particles in turbulent quantum liquids. The complicated interaction processes of vortex filaments, the quantum constraints on vorticity and the varying influence of both the superfluid and the normal…

Statistical Mechanics · Physics 2013-03-27 Christian Beck , Shihan Miah

The Lagrangian statistics of heavy particles and of fluid tracers transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. The Lagrangian velocity structure functions are…

Chaotic Dynamics · Physics 2007-05-23 Jeremie Bec , Luca Biferale , Massimo Cencini , Alessandra S. Lanotte , Federico Toschi

The distribution of particle accelerations in turbulence is intermittent, with non-Gaussian tails that are quite different for light and heavy particles. In this article we analyse a closure scheme for the acceleration fluctuations of light…

Fluid Dynamics · Physics 2016-07-08 S. Vajedi , K. Gustavsson , B. Mehlig , L. Biferale

In order to understand how the chemical and isotopic compositions of dust grains in a gaseous turbulent protoplanetary disk are altered during their journey in the disk, it is important to determine their individual trajectories. We study…

Earth and Planetary Astrophysics · Physics 2015-05-28 Sebastien Charnoz , Laure Fouchet , Jérôme Aleon , Manuel Moreira

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,…

Solar and Stellar Astrophysics · Physics 2025-10-31 J. Philidet , K. Belkacem

The evolution of a Taylor-Green forced magnetohydrodynamic (MHD) system showing dynamo activity is analyzed via direct numerical simulations. The statistical properties of the velocity and magnetic field in Eulerian coordinates and along…

Fluid Dynamics · Physics 2015-06-17 Holger Homann , Yannick Ponty , Giorgio Krstulovic , Rainer Grauer

Lagrangian particle-tracking methods are particularly suitable to study solute transport in velocity fields displaying chaotic advection. They can accurately resolve stretching and folding processes, the increase in the solute-solvent…

Fluid Dynamics · Physics 2026-01-29 Carla Feistner , Mónica Basilio Hazas , Barbara Wohlmuth , Gabriele Chiogna

We describe a new hybrid framework to model non-thermal spectral signatures from highly energetic particles embedded in a large-scale classical or relativistic MHD flow. Our method makes use of \textit{Lagrangian} particles moving through…

High Energy Astrophysical Phenomena · Physics 2018-10-17 Bhargav Vaidya , Andrea Mignone , Gianluigi Bodo , Paola Rossi , Silvano Massaglia

We investigate the statistical properties of Lagrangian tracers transported by a time-correlated compressible renewing flow. We show that the preferential sampling of the phase space performed by tracers yields significant differences…

Fluid Dynamics · Physics 2015-06-23 Ajinkya Dhanagare , Stefano Musacchio , Dario Vincenzi