On the Verification of the Pedestrian Evacuation Model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F21%3A43896259" target="_blank" >RIV/44555601:13440/21:43896259 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2227-7390/9/13/1525" target="_blank" >https://www.mdpi.com/2227-7390/9/13/1525</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math9131525" target="_blank" >10.3390/math9131525</a>

Result language

angličtina

Original language name

On the Verification of the Pedestrian Evacuation Model

Original language description

In this article we deal with numerical solution of macroscopic models of pedestrian movement. From a macroscopic point of view, pedestrian movement can be described by a system of first order hyperbolic equations similar to 2D compressible inviscid flow. For the Pedestrian Flow Equations (PFEs) the density rho and the velocity nu are considered as the unknown variables. In PFEs, the social force is also taken into account, which replaces the outer volume force term used in the fluid flow formulation, e.g., the pedestrian movement is influenced by the proximity of other pedestrians. To be concrete, the desired direction mu of the pedestrian movement is density dependent and is incorporated in the source term. The system of fluid dynamics equations is thus coupled with the equation for mu. The main message of this paper is the verification of this model. Firstly, we propose two approaches for the source term discretization. Secondly, we propose two splitting schemes for the numerical solution of the coupled system. This leads us to four different numerical methods for the PFEs. The novelty of this work is the comparative study of the numerical solutions, which shows, that all proposed methods are in the good agreement.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

—

Volume of the periodical

9

Issue of the periodical within the volume

13

Country of publishing house

CH - SWITZERLAND

Number of pages

23

Pages from-to

"nestrankovano"

UT code for WoS article

000671221600001

EID of the result in the Scopus database

2-s2.0-85109382178