A combined first and second order model for a junction with ramp buffer

@article{Weien2019ACF,
  title={A combined first and second order model for a junction with ramp buffer},
  author={Jennifer Wei{\ss}en and Oliver Kolb and Simone Gottlich},
  journal={The SMAI Journal of computational mathematics},
  year={2019}
}
Second order macroscopic traffic flow models are able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially lower than the maximum achievable flow. Within this work, we propose a first order model for a junction with ramp buffer that is solely modified at the intersection so that the capacity drop is captured. Theoretical investigations motivate the new choice of coupling conditions and illustrate the difference to purely… 

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