Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10447565" target="_blank" >RIV/00216208:11320/22:10447565 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zLFZWnJQEV" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zLFZWnJQEV</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s42967-021-00169-8" target="_blank" >10.1007/s42967-021-00169-8</a>
Alternative languages
Result language
angličtina
Original language name
Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks
Original language description
In this paper, 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. To solve traffic flows on networks, we construct suitable numerical fluxes at junctions based on preferences of the drivers. We prove basic properties of the constructed numerical flux and the resulting scheme and present numerical experiments, including a junction with complicated traffic light patterns with multiple phases. Differences with the approach to numerical fluxes at junctions from Čanić et al. (J Sci Comput 63: 233-255, 2015) are discussed and demonstrated numerically on a simple network.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications on Applied Mathematics and Computation
ISSN
2096-6385
e-ISSN
2661-8893
Volume of the periodical
4
Issue of the periodical within the volume
3
Country of publishing house
CN - CHINA
Number of pages
25
Pages from-to
986-1010
UT code for WoS article
000749060700001
EID of the result in the Scopus database
2-s2.0-85132166742