Godunov-like numerical fluxes for conservation laws on networks

Vacek, Lukáš, and Kučera, Václav. "Godunov-like numerical fluxes for conservation laws on networks." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 249-258. <http://eudml.org/doc/299027>.

@inProceedings{Vacek2023,
abstract = {We describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-Whitham-Richards model which is discretized using the discontinuous Galerkin method along with suitable limiters. In order to solve traffic flows on networks, we construct suitable numerical fluxes at junctions based on preferences of the drivers. Numerical experiment comparing different approaches is 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 = {249-258},
publisher = {Institute of Mathematics CAS},
title = {Godunov-like numerical fluxes for conservation laws on networks},
url = {http://eudml.org/doc/299027},
year = {2023},
}

TY - CLSWK
AU - Vacek, Lukáš
AU - Kučera, Václav
TI - Godunov-like numerical fluxes for conservation laws on networks
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 249
EP - 258
AB - We describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-Whitham-Richards model which is discretized using the discontinuous Galerkin method along with suitable limiters. In order to solve traffic flows on networks, we construct suitable numerical fluxes at junctions based on preferences of the drivers. Numerical experiment comparing different approaches is presented.
KW - traffic flow; discontinuous Galerkin method; junctions; numerical flux
UR - http://eudml.org/doc/299027
ER -