In this article, we propose a new grid-free and exact solution method for computing
solutions associated with an hybrid traffic
flow model based on the Lighthill-
Whitham-Richards (LWR) partial differential equation. In this hybrid
flow model,
the vehicles satisfy the LWR equation whenever possible, and have a fixed acceleration
otherwise. We first present a grid-free solution method for the LWR equation
based on the minimization of component functions. We then show that this solution
method can be extended to compute the solutions to the hybrid model by proper
modification of the component functions, for any concave fundamental diagram. We
derive these functions analytically for the specific case of a triangular fundamental
diagram. We also show that the proposed computational method can handle fixed or
moving bottlenecks.
| Identifer | oai:union.ndltd.org:kaust.edu.sa/oai:repository.kaust.edu.sa:10754/245871 |
| Date | 07 1900 |
| Creators | Qiu, Shanwen |
| Contributors | Claudel, Christian G., Physical Science and Engineering (PSE) Division, Laleg-Kirati, Taous-Meriem, Thoroddsen, Sigurdur T |
| Source Sets | King Abdullah University of Science and Technology |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Rights | 2013-07-30, At the time of archiving, the student author of this thesis opted to temporarily restrict access to it. The full text of this thesis became available to the public after the expiration of the embargo on 2013-07-30. |
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