A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. (English) Zbl 1470.90018
Summary: This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo et al., Math. Models Methods Appl. Sci. 22, No. 4, 1150023, 34 p. (2012; Zbl 1248.35213)] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and we apply high-resolution numerical schemes to illustrate the model characteristics. In particular, numerical simulations highlight the role of different model parameters in the observed pattern formation.
MSC:
| 90B20 | Traffic problems in operations research |
| 35Q91 | PDEs in connection with game theory, economics, social and behavioral sciences |
Keywords:
non-local conservation laws; macroscopic pedestrian flow models; bounded domains; anisotropic interactions; high-resolution WENO schemesCitations:
Zbl 1248.35213References:
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