Construction of fluxes at junctions for the numerical solution of traffic flow models on networks

Vacek, Lukáš, and Kučera, Václav. "Construction of fluxes at junctions for the numerical solution of traffic flow models on networks." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2021. 149-158. <http://eudml.org/doc/296859>.

@inProceedings{Vacek2021,
abstract = {We deal with the simulation of traffic flow on networks. On individual roads we use standard macroscopic traffic models. The discontinuous Galerkin method in space and explicit Euler method in time is used for the numerical solution. We apply limiters to keep the density in an admissible interval as well as prevent spurious oscillations in the numerical solution. To solve traffic networks, we construct suitable numerical fluxes at junctions. Numerical experiments are presented.},
author = {Vacek, Lukáš, Kučera, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {traffic flow; discontinuous Galerkin method; junctions; numerical flux},
location = {Prague},
pages = {149-158},
publisher = {Institute of Mathematics CAS},
title = {Construction of fluxes at junctions for the numerical solution of traffic flow models on networks},
url = {http://eudml.org/doc/296859},
year = {2021},
}

TY - CLSWK
AU - Vacek, Lukáš
AU - Kučera, Václav
TI - Construction of fluxes at junctions for the numerical solution of traffic flow models on networks
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2021
CY - Prague
PB - Institute of Mathematics CAS
SP - 149
EP - 158
AB - We deal with the simulation of traffic flow on networks. On individual roads we use standard macroscopic traffic models. The discontinuous Galerkin method in space and explicit Euler method in time is used for the numerical solution. We apply limiters to keep the density in an admissible interval as well as prevent spurious oscillations in the numerical solution. To solve traffic networks, we construct suitable numerical fluxes at junctions. Numerical experiments are presented.
KW - traffic flow; discontinuous Galerkin method; junctions; numerical flux
UR - http://eudml.org/doc/296859
ER -