Godunov-like numerical fluxes for conservation laws on networks
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10467415" target="_blank" >RIV/00216208:11320/23:10467415 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/panm.2022.23" target="_blank" >https://doi.org/10.21136/panm.2022.23</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2022.23" target="_blank" >10.21136/panm.2022.23</a>
Alternative languages
Result language
angličtina
Original language name
Godunov-like numerical fluxes for conservation laws on networks
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA20-01074S" target="_blank" >GA20-01074S: Adaptive methods for the numerical solution of partial differential equations: analysis, error estimates and iterative solvers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and Algorithms of Numerical Mathematics 21
ISBN
978-80-85823-73-8
ISSN
—
e-ISSN
—
Number of pages
10
Pages from-to
249-258
Publisher name
ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
Place of publication
PRAHA 1
Event location
Jablonec nad Nisou
Event date
Jun 19, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—