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We introduce two new methods to obtain reliable velocity field statistics from N-body simulations, or indeed from any general density and velocity fluctuation field sampled by discrete points. These methods, the {\it Voronoi tessellation…

Astrophysics · Physics 2017-03-08 Francis Bernardeau , Rien van de Weygaert

As a typical multiphase fluid flow process, drainage in porous media is of fundamental interest in nature and industrial applications. During drainage processes in unsaturated soils and porous media in general, saturated clusters, in which…

Soft Condensed Matter · Physics 2018-02-22 Shuoqi Li , Mingchao Liu , Dorian Hanaor , Yixiang Gan

Fundamental diagrams describing the relation between pedestrians speed and density are key points in understanding pedestrian dynamics. Experimental data evidence the onset of complex behaviors in which the velocity decreases with the…

Statistical Mechanics · Physics 2017-03-03 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

A neutral boundary layer was generated in the laboratory to analyze the mean velocity field and the turbulence field within and above an array of two-dimensional obstacles simulating an urban canopy. Different geometrical configurations…

Fluid Dynamics · Physics 2020-01-28 Annalisa Di Bernardino , Paolo Monti , Giovanni Leuzzi , Giorgio Querzoli

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

We consider a multi-group microscopic model for pedestrian flow describing the behaviour of large groups. It is based on an interacting particle system coupled to an eikonal equation. Hydrodynamic multi-group models are derived from the…

Physics and Society · Physics 2017-05-18 Naveen K. Mahato , Axel Klar , Sudarshan Tiwari

In this paper we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initial vortices of the fluid flow in question then follow vortex…

Fluid Dynamics · Physics 2021-10-27 Zhongmin Qian , Youchun Qiu , Yihuang Zhang

We present a model appropriate to the initial motion (2-3 chords of travel) of a flat-plate airfoil accelerating in an inviscid fluid. The separated flow structures are represented as vortex sheets in the conventional manner and similarity…

Fluid Dynamics · Physics 2021-05-19 A. C. DeVoria , K. Mohseni

In this paper a rigorous proof of the mean field limit for a pedestrian flow model in two dimensions is given by using a probabilistic method. The model under investigation is an interacting particle system coupled to the eikonal equation…

Analysis of PDEs · Mathematics 2016-11-28 Li Chen , Simone Göttlich , Qitao Yin

The accurate quantification of left ventricular (LV) deformation/strain shows significant promise for quantitatively assessing cardiac function for use in diagnosis and therapy planning (Jasaityte et al., 2013). However, accurate estimation…

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

We investigate a two-dimensional network simulator that model the dynamics of two-phase immiscible bulk flow where film flow can be neglected. We present a method for simulating the detailed dynamical process where the two phases are…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Eyvind Aker , Alex Hansen

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

Convective mixing in porous media is crucial in both geophysical and industrial fields, spanning applications ranging from carbon dioxide sequestration to contaminant transport in groundwater. Key processes are affected by convective heat…

Fluid Dynamics · Physics 2025-12-29 Marco De Paoli , Sergio Pirozzoli , Lou Kondic

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

We present results of direct numerical simulation of incompressible fluid flow over a thick bed of mobile, spherically-shaped particles. The algorithm is based upon the immersed boundary technique for fluid-solid coupling and uses a…

Fluid Dynamics · Physics 2014-06-03 Aman G. Kidanemariam , Markus Uhlmann

The paper presents a preliminary analysis of traffic flow data collected in the Lefortovo tunnel located on the 3-rd circular highway of Moscow. It is shown that the observed tunnel congested traffic in fact exhibits cooperative phenomena…

Physics and Society · Physics 2007-05-23 Ihor Lubashevsky , Cyril Garnisov , Reinhard Mahnke , Boris Lifshits , Mikhail Pechersky

The motion of an assembly of rigid fibers is investigated for different classes of closed streamline flows, steady or time dependent, two dimensional or three dimensional. In our study, the dynamics of the fiber assembly is fully-coupled to…

Fluid Dynamics · Physics 2020-06-24 M. Cavaiola , S. Olivieri , A. Mazzino

We present an accurate and robust numerical method to track quantized vortex lines in a superfluid described by the Gross-Pitaevskii equation. By utilizing the pseudo-vorticity field of the associated complex scalar order parameter of the…

Fluid Dynamics · Physics 2016-10-12 Alberto Villois , Giorgio Krstulovic , Davide Proment , Hayder Salman

This paper examines the mechanisms of coherent structure interactions in spatially evolving turbulent free shear layers at different values of the velocity ratio parameter {\lambda}=$(U_1-U_2)/(U_1+U_2)$, where $U_1$ and $U_2 (\leq U_1)$…

Fluid Dynamics · Physics 2015-11-19 Saikishan Suryanarayanan , Roddam Narasimha
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