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    A characteristic particle method for traffic flow simulations on highway networks

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    1201.0057v2.pdf
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    Genre
    Conference Proceeding
    Date
    2013-01-21
    Author
    Farjoun, Y
    Seibold, B
    Subject
    math.NA
    math.NA
    physics.comp-ph
    physics.soc-ph
    65M25, 35L65
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5990
    
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    DOI
    10.1007/978-3-642-32979-1_13
    Abstract
    A characteristic particle method for the simulation of first order macroscopic traffic models on road networks is presented. The approach is based on the method particleclaw, which solves scalar one dimensional hyperbolic conservation laws exactly, except for a small error right around shocks. The method is generalized to nonlinear network flows, where particle approximations on the edges are suitably coupled together at the network nodes. It is demonstrated in numerical examples that the resulting particle method can approximate traffic jams accurately, while only devoting a few degrees of freedom to each edge of the network. © 2013 Springer-Verlag.
    Citation to related work
    Springer Berlin Heidelberg
    Has part
    Lecture Notes in Computational Science and Engineering
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    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5972
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