The Lagrangian coordinates and what it means for first order traffic flowmodels.

Author(s)
Leclerq, L. Laval, J. & Chevallier, E.
Year
Abstract

Traditionally, first order traffic flow models have been formulated in Eulerian coordinates as a scalar conservation law, namely the LWR model of Lighthill and Whitham (1955). The aim of this study is to go further into the use of the N-function by formulating the LWR model in the transformed coordinate system. These Lagrangian coordinates are fixed to a given fluid particle and move with it in space-time. An analysis of the model is presented and discussed. For the covering abstract see ITRD E144727.

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Publication

Library number
C 48431 (In: C 48400) /71 / ITRD E144882
Source

In: Transportation and traffic theory 2007 : papers selected for presentation at the 17th International Symposium on Transportation and Traffic Theory (ISTTT17), held at the Institution of Mechanical Engineers, London, UK from July 23 - 25, 2007, p. 735-753, 25 ref.

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