Computer simulation of pedestrian crowds using a macroscopic model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10332263" target="_blank" >RIV/00216208:11320/15:10332263 - isvavai.cz</a>

Výsledek na webu

<a href="https://docs.google.com/uc?id=0B3t14Ql_Xo2tRmUxYlk0b0tnU2M&export=download" target="_blank" >https://docs.google.com/uc?id=0B3t14Ql_Xo2tRmUxYlk0b0tnU2M&export=download</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Computer simulation of pedestrian crowds using a macroscopic model

Popis výsledku v původním jazyce

A macroscopic model describing the pedestrian flow consists of the continuity equation and momentum equation of fluid dynamics. Specifying the social and pressure forces in the momentum equation, we get the first order hyperbolic system of partial differential equations with a source term. We use the mathematical similarity with the shallow water equations (SWE) in the numerical solution by the finite volume method. The splitting technique is applied which leads to a combination of the finite volume method for the hyperbolic problem with the numerical solution of the system of ordinary differential equations. Additionally, the solution of the so-called eikonal equation plays an important role here. Such a solution determines the density dependent direction of pedestrian motion. The algorithm giving the time evolution of the density and velocity of pedestrians in the two-dimensional domain is described. The practical application of the algorithm for the evacuation of the 2D hall for various configurations of obstacles near to the exit is presented.

Název v anglickém jazyce

Computer simulation of pedestrian crowds using a macroscopic model

Popis výsledku anglicky

A macroscopic model describing the pedestrian flow consists of the continuity equation and momentum equation of fluid dynamics. Specifying the social and pressure forces in the momentum equation, we get the first order hyperbolic system of partial differential equations with a source term. We use the mathematical similarity with the shallow water equations (SWE) in the numerical solution by the finite volume method. The splitting technique is applied which leads to a combination of the finite volume method for the hyperbolic problem with the numerical solution of the system of ordinary differential equations. Additionally, the solution of the so-called eikonal equation plays an important role here. Such a solution determines the density dependent direction of pedestrian motion. The algorithm giving the time evolution of the density and velocity of pedestrians in the two-dimensional domain is described. The practical application of the algorithm for the evacuation of the 2D hall for various configurations of obstacles near to the exit is presented.

Druh

D - Stať ve sborníku

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/GA13-00522S" target="_blank" >GA13-00522S: Kvalitativní analýza a numerické řešení problémů proudění v obecně časově závislých oblastech s různými okrajovými podmínkami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

Applied Natural Sciences 2015

ISBN

978-80-8105-729-8

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

125-130

Název nakladatele

University of SS. Cyril and Methodius in Trnava

Místo vydání

Trnava

Místo konání akce

Jasná, Low Tatras, Slovak Republic

Datum konání akce

30. 9. 2015

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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