An energy concept for macroscopic traffic flow modeling


== 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

== Full document ==
<pdf>Media:Draft_Content_340550019-beopen398-6395-document.pdf</pdf>


== Original document ==

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

* [http://dx.doi.org/10.1007/s12544-012-0070-0 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 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-00801087]

* [https://hal.archives-ouvertes.fr/hal-00801143 https://hal.archives-ouvertes.fr/hal-00801143]

* [https://link.springer.com/content/pdf/10.1007%2Fs12544-012-0070-0.pdf 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/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.pdf],
: [http://link.springer.com/content/pdf/10.1007/s12544-012-0070-0 http://link.springer.com/content/pdf/10.1007/s12544-012-0070-0],
: [http://dx.doi.org/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://link.springer.com/article/10.1007%2Fs12544-012-0070-0],
: [https://trid.trb.org/view/1212149 https://trid.trb.org/view/1212149],
: [https://etrr.springeropen.com/track/pdf/10.1007/s12544-012-0070-0 https://etrr.springeropen.com/track/pdf/10.1007/s12544-012-0070-0],
: [https://etrr.springeropen.com/articles/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://hal.archives-ouvertes.fr/hal-00801087],
: [https://paperity.org/p/4004878/an-energy-concept-for-macroscopic-traffic-flow-modelling https://paperity.org/p/4004878/an-energy-concept-for-macroscopic-traffic-flow-modelling],
: [https://academic.microsoft.com/#/detail/2089908617 https://academic.microsoft.com/#/detail/2089908617] under the license http://creativecommons.org/licenses/by/2.0