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Related papers: Discrete Element Crowd Model for Pedestrian Evacua…

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In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a density function, move on the graph choosing a route to…

Numerical Analysis · Mathematics 2016-04-19 Fabio Camilli , Adriano Festa , Silvia Tozza

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

Fluid Dynamics · Physics 2008-09-25 S. L. Arsenjev

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

Physics and Society · Physics 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

Pedestrian dynamics models the walking movement of individuals in a crowd. It has recently been used in the analysis of procedures to reduce the risk of disease spread in airplanes, relying on the SPED model. This is a social force model…

Physics and Society · Physics 2020-07-01 Mehran Sadeghi Lahijani , Tasvirul Islam , Ashok Srinivasan , Sirish Namilae

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · Physics 2009-10-28 Kai Nagel , Maya Paczuski

Droplet microfluidics, in which micro-droplets serve as individual reactors, has enabled a wide range of high-throughput biochemical processes. Unlike solid wells typically used in current biochemical assays, droplets are subject to…

Soft Condensed Matter · Physics 2022-06-03 Ya Gai , Andrea Montessori , Sauro Succi , Sindy K. Y. Tang

We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Julien Pettré , Guy Theraulaz

In fluid mechanics, dimensionless numbers like the Reynolds number help classify flows. We argue that such a classification is also relevant for crowd flows by putting forward the dimensionless Intrusion and Avoidance numbers.Using an…

Statistical Mechanics · Physics 2024-03-12 Jakob Cordes , Andreas Schadschneider , Alexandre Nicolas

In this paper we present a numerical scheme to simulate a moving rigid body with arbitrary shape suspended in a rarefied gas. The rarefied gas is simulated by solving the Boltzmann equation using a DSMC particle method. The motion of the…

Computational Physics · Physics 2015-06-22 Samir Shrestha , Sudarshan Tiwari , Axel Klar , Steffen Hardt

When streets are designed according to the shared space principle, road user are encouraged to interact spontaneously with each other for negotiating the space. These interaction mechanisms do not follow clearly defined traffic rules but…

Applications · Statistics 2017-09-28 F. Pascucci , N. Rinke , C. Schiermeyer , V. Berkhahn , B. Friedrich

In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs , B. D. Reddy

In high-density crowds, local motion can propagate, amplify, and lead to macroscopic phenomena, including 'density waves'. These density waves only occur when individuals interact, and impulses are transferred to neighbours. How this…

Physics and Society · Physics 2024-03-01 Sina Feldmann , Thomas Chatagnon , Juliane Adrian , Julien Pettré , Armin Seyfried

In an emergency situation, imitation of strategies of neighbours can lead to an order-disorder phase transition, where spatial clusters of pedestrians adopt the same strategy. We assume that there are two strategies, cooperating and…

Physics and Society · Physics 2013-03-12 P. Gawronski , K. Malarz , M. J. Krawczyk , J. Malinowski , A. Kupczak , W. Sikora , K. Kulakowski , J. Was , J. Kantelhardt

We propose and analyze extended floor field cellular automaton models for evacuation dynamics of inhomogeneous pedestrian pairs which are coupled by asymmetric group interactions. Such pairs consist of a leader, who mainly determines the…

Physics and Society · Physics 2016-08-22 Frank Müller , Andreas Schadschneider

The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including size exclusion and their effect on the behaviour of…

Analysis of PDEs · Mathematics 2016-11-03 Martin Burger , Jan-Frederik Pietschmann

Macroscopic models of crowd flow incorporating individual pedestrian choices present many analytic and computational challenges. Anisotropic interactions are particularly subtle, both in terms of describing the correct "optimal" direction…

Optimization and Control · Mathematics 2018-04-06 Elliot Cartee , Alexander Vladimirsky

Understanding the complex behavior of pedestrians walking in crowds is a challenge for both science and technology. In particular, obtaining reliable models for crowd dynamics, capable of exhibiting qualitatively and quantitatively the…

Physics and Society · Physics 2018-04-12 Alessandro Corbetta , Luca Bruno , Adrian Muntean , Federico Toschi

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

The simulation of evacuation of pedestrians from skyscraper is a situation where the symmetry analysis method and equations of fluid dynamics finds to be very useful. When applied, they strongly reduce the number of free parameters used in…

Multiagent Systems · Computer Science 2011-08-19 W. Sikora , J. Malinowski , A. Kupczak
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