Modelling of Pedestrian and Evacuation Dynamics

Chraibi, Mohcine; Tordeux, Antoine; Schadschneider, Andreas; Seyfried, Armin

doi:10.1007/978-1-4939-8763-4_705

Cited by 15 publications

(21 citation statements)

References 87 publications

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“…> 0 and k+1 if 𝑠 𝑖, 𝑗,𝑘− 1 2 < 0. Recall that 𝜂 𝑖, 𝑗,𝑘 in (15) and 𝜙 𝑖, 𝑗,𝑘 in (16) are defined in (10), while 𝜉 𝑖, 𝑗,𝑘+ 1 2 is defined in (11). Thanks to the flux limiter, scheme ( 14) is of second-order scheme in velocity.…”

Section: Discretization In Space and Timementioning

confidence: 99%

“…Kinetic models are derived from observing the system at the mesoscale (see, e.g., [1,5,6,7,10,11,12]), i.e. the intermediate scale between the macroscopic one (see, e.g., [17,26,34]) and the microscopic one (see, e.g., [3,16,18,24]). The framework for mesoscale models comes from the kinetic theory of gases, with the main difference that interactions of "active" particles are irreversible, non-conservative and, in some cases, non-local and nonlinearly additive [2].…”

Section: Introductionmentioning

confidence: 99%

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A 2D kinetic model for crowd dynamics with disease contagion

Kim¹,

Quaini²

2021

Preprint

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We focus on the modeling and simulation of an infectious disease spreading in a medium size population occupying a confined environment, such as an airport terminal, for short periods of time. Because of the size of the crowd and venue, we opt for a kinetic type model. The paper is divided into two parts. In the first part, we adopt the simplifying assumption that people's walking speed and direction are given. The resulting kinetic model features a variable that denotes the level of exposure to people spreading the disease, a parameter describing the contagion interaction strength, and a kernel function that is a decreasing function of the distance between a person and a spreading individual. Such model is tested on problems involving a small crowd in a square walkable domain. In the second part, ideas from the simplified model are used to incorporate disease spreading in a kinetic theory approach for crowd dynamics, i.e. the walking speed and direction result from interaction with other people and the venue.

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Section: Discretization In Space and Timementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A 2D kinetic model for crowd dynamics with disease contagion

Kim¹,

Quaini²

2021

Preprint

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“…Further scrutiny of individual pedestrians could provide valuable microscopic information that yields insights into the intriguing crowd dynamics [12,18,[30][31][32][33][34]. Following this idea, a social force model (SFM) has been proposed to simulate the motion of human crowds [1,12,35].…”

Section: Introductionmentioning

confidence: 99%

Ordering leads to multiple fast tracks in simulated collective escape of human crowds

Chen

Yao

2021

Soft Matter

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“…Besides, in some complex buildings, such as train stations, airports, stadiums, commercial malls, crowd density can be relatively high, in particular during rush hours. For increasing the comfort and usability of these facilities, simulations of pedestrian dynamics may help during the design of buildings and even after their construction to identify potential bottlenecks and mitigate their effects [1,2,3].…”

Section: Introductionmentioning

confidence: 99%

Generalized collision-free velocity model for pedestrian dynamics

Chraibi

Tordeux

et al. 2019

Physica A: Statistical Mechanics and its Applications

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The collision-free velocity model is a microscopic pedestrian model, which despite its simplicity, reproduces fairly well several self-organization phenomena in pedestrian dynamics. The model consists of two components: a direction sub-model that combines individual desired moving direction and neighbour's influence to imitate the process of navigating in a two-dimensional space, and an intrinsically collision-free speed sub-model which controls the speed of the agents with respect to the distance to their neighbors. This paper generalizes the collision-free velocity model by introducing the influence of walls and extending the distance calculations to velocity-based ellipses. Besides, we introduce enhancements to the direction sub-module of the model that smooth the direction changes of pedestrians in the simulation; a shortcoming that was not visible in the original model due to the symmetry of the circular shapes. Moreover, the introduced improvements mitigate backward movement, leading to a more realistic distribution of pedestrians especially in bottleneck scenarios.We study by simulation the effects of the pedestrian's shape by comparing the fundamental diagram in narrow and wide corridors. Furthermore, we validate our enhancements to the direction sub-model for bottleneck experiments with varying exit's width.

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Modelling of Pedestrian and Evacuation Dynamics

Cited by 15 publications

References 87 publications

A 2D kinetic model for crowd dynamics with disease contagion

A 2D kinetic model for crowd dynamics with disease contagion

Ordering leads to multiple fast tracks in simulated collective escape of human crowds

Generalized collision-free velocity model for pedestrian dynamics

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