Latest revision as of 14:43, 12 February 2021

Abstract

International audience; Introduction The main differences between the deterministic macroscopic models are to be found in pressure expressions and representation of various phases observed experimentally. Methods In this paper, using the laws of fluid dynamics and thermodynamics to describe the traffic flow reality, a new expression of pressure is made and a second order model is proposed. Results It represents different traffic flow phases and, thus, conditions for transition between phases become clear. In addition, our approach suggests solutions to a number of problems yet to be resolved. Afterwards, simulations are presented which show some agreement with experimental data. Conclusion Finally, the proposed model highlights different types of possible actions for traffic flow control.

Document type: Article

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The different versions of the original document can be found in:

• http://dx.doi.org/10.1007/s12544-012-0070-0 under the license https://creativecommons.org/licenses/by

• http://hdl.handle.net/20.500.12210/26903 under the license http://www.springer.com/tdm

• https://hal.archives-ouvertes.fr/hal-00801087

• https://hal.archives-ouvertes.fr/hal-00801143

• https://link.springer.com/content/pdf/10.1007%2Fs12544-012-0070-0.pdf

• http://link.springer.com/article/10.1007/s12544-012-0070-0/fulltext.html,

http://link.springer.com/content/pdf/10.1007/s12544-012-0070-0.pdf,

http://link.springer.com/content/pdf/10.1007/s12544-012-0070-0,

http://dx.doi.org/10.1007/s12544-012-0070-0 under the license cc-by

• https://link.springer.com/article/10.1007%2Fs12544-012-0070-0,

https://trid.trb.org/view/1212149,

https://etrr.springeropen.com/track/pdf/10.1007/s12544-012-0070-0,

https://etrr.springeropen.com/articles/10.1007/s12544-012-0070-0,

https://hal.archives-ouvertes.fr/hal-00801087,

https://paperity.org/p/4004878/an-energy-concept-for-macroscopic-traffic-flow-modelling,

https://academic.microsoft.com/#/detail/2089908617 under the license http://creativecommons.org/licenses/by/2.0