On a numerical flux for the pedestrian flow equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00241445" target="_blank" >RIV/68407700:21340/15:00241445 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/15:10319280 RIV/68407700:21340/15:00237600 RIV/44555601:13440/15:43893490

Výsledek na webu

<a href="https://doi.org/10.1515/jamsi-2015-0014" target="_blank" >https://doi.org/10.1515/jamsi-2015-0014</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/jamsi-2015-0014" target="_blank" >10.1515/jamsi-2015-0014</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On a numerical flux for the pedestrian flow equations

Popis výsledku v původním jazyce

The pedestrian flow equations are formulated as the hyperbolic problem with a source term, completed by the eikonal equation yielding the desired direction of the pedestrian velocity. The operator splitting consisting of successive discretization of the eikonal equation, ordinary differential equation with the right hand side being the source term and the homogeneous hyperbolic system is proposed. The numerical flux of the Vijayasundaram type is proposed for the finite volume solution of the hyperbolic problem. The Vijayasundaram numerical flux, originally proposed for the hyperbolic problems possessing the homogeneity property is extended for pedestrian flow, where the homogeneity property is lost. The application of the proposed numerical flux is demonstrated n the physically relevant problem.

Název v anglickém jazyce

On a numerical flux for the pedestrian flow equations

Popis výsledku anglicky

The pedestrian flow equations are formulated as the hyperbolic problem with a source term, completed by the eikonal equation yielding the desired direction of the pedestrian velocity. The operator splitting consisting of successive discretization of the eikonal equation, ordinary differential equation with the right hand side being the source term and the homogeneous hyperbolic system is proposed. The numerical flux of the Vijayasundaram type is proposed for the finite volume solution of the hyperbolic problem. The Vijayasundaram numerical flux, originally proposed for the hyperbolic problems possessing the homogeneity property is extended for pedestrian flow, where the homogeneity property is lost. The application of the proposed numerical flux is demonstrated n the physically relevant problem.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Applied Mathematics, Statistics and Informatics (JAMSI)

ISSN

1336-9180

e-ISSN

—

Svazek periodika

11

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

18

Strana od-do

79-96

Kód UT WoS článku

000216716500007

EID výsledku v databázi Scopus

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