FV-DG method for the pedestrian flow problem

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00333845" target="_blank" >RIV/68407700:21340/19:00333845 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/19:10399594 RIV/44555601:13440/19:43894564

Výsledek na webu

<a href="https://doi.org/10.1016/j.compfluid.2019.03.006" target="_blank" >https://doi.org/10.1016/j.compfluid.2019.03.006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compfluid.2019.03.006" target="_blank" >10.1016/j.compfluid.2019.03.006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

FV-DG method for the pedestrian flow problem

Popis výsledku v původním jazyce

We consider the Pedestrian Flow Equations (PFEs) to model evacuation scenarios as a coupled system formed by a functional minimization problem for the desired direction of movement and a first order hyperbolic system with source term. The operator splitting is proposed for the numerical solution of the coupled system. The functional minimization is based on the modified Dijkstra's algorithm for the fastest path in a graph. The hyperbolic system is discretized by the combination of the Finite Volume Method (FVM) for the space discretization and the Discontinuous Galerkin Method (DGM) for the implicit time discretization. The original numerical flux of the Vijayasundaram type is used in the FVM. The standard approach for the desired direction of motion of pedestrians based on the solution of the Eikonal Equation is replaced by the functional minimization, which, together with the implicit time discontinuous Galerkin method, is the novelty of this paper. The relation between the proposed functional minimization and the Eikonal Equation is mentioned. The numerical examples of the solution of the PFEs are presented.

Název v anglickém jazyce

FV-DG method for the pedestrian flow problem

Popis výsledku anglicky

We consider the Pedestrian Flow Equations (PFEs) to model evacuation scenarios as a coupled system formed by a functional minimization problem for the desired direction of movement and a first order hyperbolic system with source term. The operator splitting is proposed for the numerical solution of the coupled system. The functional minimization is based on the modified Dijkstra's algorithm for the fastest path in a graph. The hyperbolic system is discretized by the combination of the Finite Volume Method (FVM) for the space discretization and the Discontinuous Galerkin Method (DGM) for the implicit time discretization. The original numerical flux of the Vijayasundaram type is used in the FVM. The standard approach for the desired direction of motion of pedestrians based on the solution of the Eikonal Equation is replaced by the functional minimization, which, together with the implicit time discontinuous Galerkin method, is the novelty of this paper. The relation between the proposed functional minimization and the Eikonal Equation is mentioned. The numerical examples of the solution of the PFEs are presented.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Computers & Fluids

ISSN

0045-7930

e-ISSN

1879-0747

Svazek periodika

183

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

1-15

Kód UT WoS článku

000466823500001

EID výsledku v databázi Scopus

2-s2.0-85062868745