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    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

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    Shanwen Qiu Thesis.pdf
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    Type
    Thesis
    Authors
    Qiu, Shanwen
    Advisors
    Claudel, Christian G. cc
    Committee members
    Laleg-Kirati, Taous-Meriem cc
    Thoroddsen, Sigurdur T cc
    Program
    Mechanical Engineering
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2012-07
    Embargo End Date
    2013-07-30
    Permanent link to this record
    http://hdl.handle.net/10754/245871
    
    Metadata
    Show full item record
    Access Restrictions
    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-42W99
    DOI
    10.25781/KAUST-42W99
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-42W99
    Scopus Count
    Collections
    MS Theses; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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