Skip to Main content Skip to Navigation
Journal articles

General constrained conservation laws. Application to pedestrian flow modeling.

Abstract : We generalize the results on conservation laws with local flux constraint obtained in [1, 9] to general flux functions and nonclassical solutions arising for example in pedestrian flow modeling. We first define the constrained Riemann solver and the entropy condition, which singles out the unique admissible solution. We provide a well posedness result based on wave-front tracking approximations and Kruzhkov doubling of variable technique. We then provide the framework to deal with nonclassical solutions and we propose a "front-tracking" finite volume scheme allowing to sharply capture classical and nonclassical discontinuities. Numerical simulations illustrating the Braess paradox are presented as validation of the method.
Document type :
Journal articles
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/hal-00713609
Contributor : Paola Goatin <>
Submitted on : Monday, July 2, 2012 - 11:36:26 AM
Last modification on : Wednesday, December 9, 2020 - 3:07:55 PM
Long-term archiving on: : Wednesday, October 3, 2012 - 2:45:15 AM

File

ChalonsGoatinSeguin.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00713609, version 1

Citation

Christophe Chalons, Paola Goatin, Nicolas Seguin. General constrained conservation laws. Application to pedestrian flow modeling.. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2013, 8 (2), pp.433-463. ⟨hal-00713609⟩

Share

Metrics

Record views

1040

Files downloads

807