Eikonal equation based cellular automaton for a pedestrian evacuation problem

Felcman, J.; Kubera, Petr

doi:10.1063/5.0027704

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2021

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“…Although macroscopic and microscopic models represent two different worlds, we show their comparison and interrelationship. We further enlarge the results from [12].…”

Section: Microscopic Modelmentioning

confidence: 87%

A cellular automaton model for a pedestrian flow problem

Felcman

Kubera

2021

Math. Model. Nat. Phenom.

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The evacuation phenomena in the two dimensional pedestrian flow model are simulated. The intended direction of the escape of pedestrians in panic situations is governed by the Eikonal equation of the pedestrian flow model. A new two-dimensional Cellular Automaton (CA) model is proposed for the simulation of the pedestrian flow. The solution of the Eikonal equation is used to define the probability matrix whose elements express the probability of a pedestrian moving in finite set of directions. The novelty of this paper lies in the construction of the density dependent probability matrix. The relevant evacuation scenarios are numerically solved. Predictions of the evacuation behavior of pedestrians, for various room geometries with multiple exists, are demonstrated. The mathematical model is numerically justified by comparison of CA approach with the Finite Volume Method for the space discretization and Discontinuous Galerkin Method for the implicit time discretization of pedestrian flow model.

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“…Although macroscopic and microscopic models represent two different worlds, we show their comparison and interrelationship. We further enlarge the results from [12].…”

Section: Microscopic Modelmentioning

confidence: 87%

A cellular automaton model for a pedestrian flow problem

Felcman

Kubera

2021

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

show abstract

Eikonal equation based cellular automaton for a pedestrian evacuation problem

Cited by 1 publication

References 6 publications

A cellular automaton model for a pedestrian flow problem

A cellular automaton model for a pedestrian flow problem

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