A new time-stepping strategy and boundary treatment to improve recent 2d traffic model

TL;DR

This paper introduces an improved 2D traffic flow model with a new time-stepping strategy and boundary treatment, significantly reducing computational costs for large-scale simulations.

Contribution

It presents a novel method for computing time step restrictions and implements subcycling for inflow and outflow, enhancing efficiency over existing models.

Findings

Reduced computational cost on large domains

Effective subcycling for inflow and outflow

Simplified and improved traffic flow simulation

Abstract

We show how a recently published 2d model for traffic flow can be further improved. Besides other improvements and simplifications, we present not only a method to compute the necessary time step restrictions, but also a subcycling for the inflow and outflow. This drastically reduces computational cost on large domains with coarse grids, i.\,e.\ for simulations of a whole region instead of a small part of a city or town.