Multilane analysis of a viscous second-order macroscopic traffic flow model

Gabriel Obed Fosu (), Francis Tabi Oduro () and Carlo Caligaris ()
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Gabriel Obed Fosu: Presbyterian University College
Francis Tabi Oduro: African Institute for Mathematical Sciences
Carlo Caligaris: ACT Operations Research

Partial Differential Equations and Applications, 2021, vol. 2, issue 1, 1-17

Abstract: Abstract Vehicular flow modeling has received much attention in the past decade due to the consequential effect of the increasing number of vehicles. A notable effect is the congestion on urban and semi-urban roads. Traffic flow models are often the first point of reference in addressing these congestion problems. In that regard, a new viscous second-order macroscopic model is presented to explore some dynamics of multilane traffic. The new model accounts for viscosity and the velocity differentials across infinitely many countable lanes. It is realized that the wave properties of the proposed model are analogous to the driving setting on a Ghanaian highway. This is followed by a mathematical condition to achieving a stable traffic flow. Moreover, the viscous model is recast into its discrete form to address interdependency among unique multiple lanes. A simulation result of an eight-lane infrastructure is presented to explain this conceptualization.

Keywords: Viscosity; Multilane traffic; Macroscopic model; Speed–density profiles; 35L65; 65M06; 76L05 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-020-00054-8

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