611 RWTH Publication No: 963347        2023       
TITLE A non-local traffic flow model for 1-to-1 junctions with buffer
AUTHORS F. A. Chiarello, J. Friedrich, S. Göttlich
ABSTRACT In this paper, we introduce a non-local PDE-ODE traffic model devoted to the description of a 1-to-1 junction with buffer. We present a numerical method to approximate solutions and show a maximum principle which is uniform in the non-local interaction range. Further, we exploit the limit models as the support of the kernel tends to zero and to infinity. We compare them with other already existing models for traffic and production flow and present numerical examples.
KEYWORDS scalar conservation laws, anisotropic non-local flux, coupled PDE-ODE model, traffic flow