Computers and Mathematics with Applications, ( ISI ), Volume (66), No (3), Year (2013-7) , Pages (227-237)

Title : ( Adaptive numerical simulation of traffic flow density )

Authors: Ali Reza Soheili , Asghar Kerayechian , Hamed Reza Tareghian , nooshin davoodi ,

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In this paper, we describe a one-dimensional adaptive moving mesh method and apply it to two traffic flow models introduced in 2009 by Kurganov and Polizzi. These models can be written as a scalar conservation law with a global flux. The proposed schemes are extension of the moving non-oscillatory central schemes, which belong to a class of moving finite volume methods. We also modify the model by Kurganov and Polizzi to account for the driver’s reaction, i.e. delayed response. Finally the moving finite volume method is extended accordingly.


, Traffic flow models, Finite volume method, Moving mesh method.
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author = {Soheili, Ali Reza and Kerayechian, Asghar and Tareghian, Hamed Reza and Davoodi, Nooshin},
title = {Adaptive numerical simulation of traffic flow density},
journal = {Computers and Mathematics with Applications},
year = {2013},
volume = {66},
number = {3},
month = {July},
issn = {0898-1221},
pages = {227--237},
numpages = {10},
keywords = {Traffic flow models; Finite volume method; Moving mesh method.},


%0 Journal Article
%T Adaptive numerical simulation of traffic flow density
%A Soheili, Ali Reza
%A Kerayechian, Asghar
%A Tareghian, Hamed Reza
%A Davoodi, Nooshin
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2013