Simulation of Traffic Flow Model with Traffic Controller Boundary
This paper considers a fluid dynamic traffic flow model appended with a closure linear velocity-density relationship which provides a first order hyperbolic partial differential equation (PDE) and is treated as an initial boundary value problem (IBVP). We consider the boundary value in such a way th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Diponegoro University
2013-07-01
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| Series: | International Journal of Science and Engineering |
| Subjects: | |
| Online Access: | https://ejournal.undip.ac.id/index.php/ijse/article/view/5115 |
| _version_ | 1818960307453689856 |
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| author | Nahid Sultana Masuma Parvin Ronobir Sarker Laek Sazzad Andallah |
| author_facet | Nahid Sultana Masuma Parvin Ronobir Sarker Laek Sazzad Andallah |
| author_sort | Nahid Sultana |
| collection | DOAJ |
| description | This paper considers a fluid dynamic traffic flow model appended with a closure linear velocity-density relationship which provides a first order hyperbolic partial differential equation (PDE) and is treated as an initial boundary value problem (IBVP). We consider the boundary value in such a way that one side of highway treat like there is a traffic controller at that point. We present the analytic solution of the traffic flow model as a Cauchy problem. A numerical simulation of the traffic flow model (IBVP) is performed based on a finite difference scheme for the model with two sided boundary conditions and a suitable numerical scheme for this is the Lax-Friedrichs scheme. Solution figure from our scheme indicates a desired result that amplitude and frequency of cars density and velocity reduces as time grows. Also at traffic controller point, velocity and density values change as desired manner. In further, we also want to introduce anisotropic behavior of cars(to get more realistic picture) which has not been considered here.
Doi: 10.12777/ijse.5.1.25-30
[How to cite this article: Sultana, N., Parvin, M. , Sarker, R., Andallah, L.S. (2013). Simulation of Traffic Flow Model with Traffic Controller Boundary. International Journal of Science and Engineering, 5(1),25-30. Doi: 10.12777/ijse.5.1.25-30] |
| first_indexed | 2024-12-20T11:55:27Z |
| format | Article |
| id | doaj.art-6713566529ad4a528e500c01fc74b9de |
| institution | Directory Open Access Journal |
| issn | 2086-5023 2302-5743 |
| language | English |
| last_indexed | 2024-12-20T11:55:27Z |
| publishDate | 2013-07-01 |
| publisher | Diponegoro University |
| record_format | Article |
| series | International Journal of Science and Engineering |
| spelling | doaj.art-6713566529ad4a528e500c01fc74b9de2022-12-21T19:41:40ZengDiponegoro UniversityInternational Journal of Science and Engineering2086-50232302-57432013-07-0151253010.12777/ijse.5.1.25-304577Simulation of Traffic Flow Model with Traffic Controller BoundaryNahid Sultana0Masuma ParvinRonobir SarkerLaek Sazzad AndallahBangladesh University, DhakaThis paper considers a fluid dynamic traffic flow model appended with a closure linear velocity-density relationship which provides a first order hyperbolic partial differential equation (PDE) and is treated as an initial boundary value problem (IBVP). We consider the boundary value in such a way that one side of highway treat like there is a traffic controller at that point. We present the analytic solution of the traffic flow model as a Cauchy problem. A numerical simulation of the traffic flow model (IBVP) is performed based on a finite difference scheme for the model with two sided boundary conditions and a suitable numerical scheme for this is the Lax-Friedrichs scheme. Solution figure from our scheme indicates a desired result that amplitude and frequency of cars density and velocity reduces as time grows. Also at traffic controller point, velocity and density values change as desired manner. In further, we also want to introduce anisotropic behavior of cars(to get more realistic picture) which has not been considered here. Doi: 10.12777/ijse.5.1.25-30 [How to cite this article: Sultana, N., Parvin, M. , Sarker, R., Andallah, L.S. (2013). Simulation of Traffic Flow Model with Traffic Controller Boundary. International Journal of Science and Engineering, 5(1),25-30. Doi: 10.12777/ijse.5.1.25-30]https://ejournal.undip.ac.id/index.php/ijse/article/view/5115tensity functiontinite difference schememacroscopic traffic flow modelnonlinear velocitytumerical simulation |
| spellingShingle | Nahid Sultana Masuma Parvin Ronobir Sarker Laek Sazzad Andallah Simulation of Traffic Flow Model with Traffic Controller Boundary International Journal of Science and Engineering tensity function tinite difference scheme macroscopic traffic flow model nonlinear velocity tumerical simulation |
| title | Simulation of Traffic Flow Model with Traffic Controller Boundary |
| title_full | Simulation of Traffic Flow Model with Traffic Controller Boundary |
| title_fullStr | Simulation of Traffic Flow Model with Traffic Controller Boundary |
| title_full_unstemmed | Simulation of Traffic Flow Model with Traffic Controller Boundary |
| title_short | Simulation of Traffic Flow Model with Traffic Controller Boundary |
| title_sort | simulation of traffic flow model with traffic controller boundary |
| topic | tensity function tinite difference scheme macroscopic traffic flow model nonlinear velocity tumerical simulation |
| url | https://ejournal.undip.ac.id/index.php/ijse/article/view/5115 |
| work_keys_str_mv | AT nahidsultana simulationoftrafficflowmodelwithtrafficcontrollerboundary AT masumaparvin simulationoftrafficflowmodelwithtrafficcontrollerboundary AT ronobirsarker simulationoftrafficflowmodelwithtrafficcontrollerboundary AT laeksazzadandallah simulationoftrafficflowmodelwithtrafficcontrollerboundary |