Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method - Archive ouverte HAL Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2020

Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method

Said Agoujil
  • Function : Author
Sofiya Chergui
  • Function : Author
Youssef Qaraai
  • Function : Author

Abstract

The complexity and non-linearity of flow phenomena are explained by numerous criteria, including the interactions of the large number of vehicles occupying the road, which influence the road density. This density under certain conditions, leads to traffic congestion which has dangerous effects on the environment such as; resources consumption; noise and the effect caused by greenhouse gas emissions of the and other pollutants. In this paper we consider working in an uniform, homogeneous road where the traffic is described by the Lighthill Whitham-Richard (LWR) model resolved using a cubic B-spline collocation scheme in space and an implicit Runge Kutta scheme in time. We also shed light on the relation between vehicle occupancy and vehicle emissions.

Dates and versions

hal-04359213 , version 1 (21-12-2023)

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Cite

Said Agoujil, Sofiya Chergui, Youssef Qaraai, Abderrahman Bouhamidi. Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method. Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (3), pp.389-406. ⟨10.3934/dcdss.2020022⟩. ⟨hal-04359213⟩
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