An Exact and Grid-free Numerical Scheme for the Hybrid Two Phase Traffic Flow Model Based on the Lighthill-Whitham-Richards Model with Bounded Acceleration
Type
ThesisAuthors
Qiu, ShanwenAdvisors
Claudel, Christian G.
Committee members
Laleg-Kirati, Taous-Meriem
Thoroddsen, Sigurdur T

Program
Mechanical EngineeringKAUST Department
Physical Science and Engineering (PSE) DivisionDate
2012-07Embargo End Date
2013-07-30Permanent link to this record
http://hdl.handle.net/10754/245871
Metadata
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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.Abstract
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.Citation
Qiu, S. (2012). An Exact and Grid-free Numerical Scheme for the Hybrid Two Phase Traffic Flow Model Based on the Lighthill-Whitham-Richards Model with Bounded Acceleration. KAUST Research Repository. https://doi.org/10.25781/KAUST-42W99ae974a485f413a2113503eed53cd6c53
10.25781/KAUST-42W99