A PDE-ODE model for a junction with ramp buffer
| Autor: | Walid Krichene, Alexandre M. Bayen, Samitha Samaranayake, Paola Goatin, M. L. Delle Monache, Jack Reilly |
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| Přispěvatelé: | Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE (OPALE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Department of Civil and Environmental Engineering [Berkeley] (CEE), University of California [Berkeley], University of California-University of California, Associated team ORESTE, European Project: 257661,EC:FP7:ERC,ERC-2010-StG_20091028,TRAM3(2010), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), University of California [Berkeley] (UC Berkeley), University of California (UC)-University of California (UC) |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
0209 industrial biotechnology
Optimization problem Applied Mathematics Mathematical analysis Ode Godunov's scheme 02 engineering and technology 01 natural sciences 010101 applied mathematics symbols.namesake 020901 industrial engineering & automation Riemann problem Ordinary differential equation Convergence (routing) symbols [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Node (circuits) 0101 mathematics Queue Mathematics |
| Zdroj: | SIAM Journal on Applied Mathematics SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2014, 74 (1), pp.22-39 SIAM Journal on Applied Mathematics, 2014, 74 (1), pp.22-39 |
| ISSN: | 0036-1399 |
| Popis: | International audience; We consider the Lighthill-Witham-Richards traffic flow model on a junction com- posed by one mainline, an onramp and an offramp, which are connected by a node. The onramp dynamics is modeled using an ordinary differential equation describing the evolution of the queue length. The definition of the solution of the Riemann problem at the junction is based on an optimization problem and the use of a right-of-way parameter. The numerical approximation is carried out using Godunov scheme, modified to take into account the effects of the onramp buffer. We present the result of some simulations and check numerically the convergence of the method. |
| Databáze: | OpenAIRE |
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