FV-DG method for the pedestrian flow problem

Result code in 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>

Alternative codes found

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

Result on the web

<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>

Result language

angličtina

Original language name

FV-DG method for the pedestrian flow problem

Original language description

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.

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

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

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

Name of the periodical

Computers & Fluids

ISSN

0045-7930

e-ISSN

1879-0747

Volume of the periodical

183

Issue of the periodical within the volume

April

Country of publishing house

GB - UNITED KINGDOM

Number of pages

15

Pages from-to

1-15

UT code for WoS article

000466823500001

EID of the result in the Scopus database

2-s2.0-85062868745