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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.07042 |
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| _version_ | 1866909127499841536 |
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| author | Chiarello, Felisia Angela Göttlich, Simone Schilliger, Thomas Tosin, Andrea |
| author_facet | Chiarello, Felisia Angela Göttlich, Simone Schilliger, Thomas Tosin, Andrea |
| contents | We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux function, in which the traffic density and the headway are the averaged quantities. A numerical study illustrates the performance of the second order model compared to the particle approach. We also analyse numerically uncertain traffic accidents by considering statistical measures of the solution to the PDEs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07042 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic traffic flow models including random accidents: A kinetic derivation Chiarello, Felisia Angela Göttlich, Simone Schilliger, Thomas Tosin, Andrea Mathematical Physics Statistical Mechanics Analysis of PDEs Physics and Society 35Q20, 35Q70, 90B20 We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux function, in which the traffic density and the headway are the averaged quantities. A numerical study illustrates the performance of the second order model compared to the particle approach. We also analyse numerically uncertain traffic accidents by considering statistical measures of the solution to the PDEs. |
| title | Hydrodynamic traffic flow models including random accidents: A kinetic derivation |
| topic | Mathematical Physics Statistical Mechanics Analysis of PDEs Physics and Society 35Q20, 35Q70, 90B20 |
| url | https://arxiv.org/abs/2305.07042 |