Discontinuous Galerkin Method for the Pedestrian Flow Problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F18%3A43894101" target="_blank" >RIV/44555601:13440/18:43894101 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00327595
Result on the web
<a href="http://dx.doi.org/10.1063/1.5043669" target="_blank" >http://dx.doi.org/10.1063/1.5043669</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5043669" target="_blank" >10.1063/1.5043669</a>

Result language
angličtina
Original language name
Discontinuous Galerkin Method for the Pedestrian Flow Problem
Original language description
We consider the Pedestrian Flow Equations (PFEs) as the coupled system formed by a functional minimization problem for the fastest path in a graph and the first order hyperbolic system with the 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 Discontinuous Galerkin Method (DGM) for the implicit time discretization and the Finite Volume Method (FVM) for the space discretization. The numerical examples of the solution of the PFEs arc presented.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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