An interface-free multi-scale multi-order model for traffic flow

TL;DR

This paper introduces a novel multi-scale traffic flow model that seamlessly integrates macroscopic and microscopic approaches without interfaces, accurately capturing phenomena like stop-and-go waves.

Contribution

The model uniquely couples first-order and second-order traffic models without interface conditions, enhancing realism and computational efficiency.

Findings

Reproduces stop-and-go traffic waves accurately

Conservative Euler-Godunov scheme used for numerical stability

Seamless coupling of different scales without boundary issues

Abstract

In this paper we present a new kind of model for traffic flow which couples a first-order macroscopic approach with a second-order microscopic approach, avoiding any interface or boundary conditions between them. The Euler-Godunov scheme associated to the model is conservative and it is able to reproduce typical traffic phenomena like stop & go waves.