Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams
Provides numerical methods for traffic flow models with congestion constraints, relevant for applied mathematics and traffic engineering.
The paper develops numerical schemes for traffic flow PDEs with a density threshold to model congestion, using asymptotic arguments to handle stiff terms and large propagation speeds, achieving relaxed stability conditions.
We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic arguments. Hence, we are interested in the simulation of approached models that contain stiff terms and large speeds of propagation. We design schemes intended to apply with relaxed stability conditions.