In this paper, we investigate boundary coupling of microscopic-macroscopic models in the study of traffic flows. We propose a definition of solution through coupling of initial boundary value problems for the discrete Follow the Leader model and the fluidodynamic second-order Aw-Rascle-Zhang model in the two quadrants t>0; x<0 and x>0. Moreover, new connections between these two models are pointed out, showing another fluidodynamical interpretation of the microscopic Follow the Leader model.
Coupling of microscopic and macroscopic traffic models at boundaries
LATTANZIO, CORRADO;
2010-01-01
Abstract
In this paper, we investigate boundary coupling of microscopic-macroscopic models in the study of traffic flows. We propose a definition of solution through coupling of initial boundary value problems for the discrete Follow the Leader model and the fluidodynamic second-order Aw-Rascle-Zhang model in the two quadrants t>0; x<0 and x>0. Moreover, new connections between these two models are pointed out, showing another fluidodynamical interpretation of the microscopic Follow the Leader model.File in questo prodotto:
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