@article{ref1,
title="Staggered conservative scheme for simulating the emergence of a jamiton in a phantom traffic jam",
journal="International journal of intelligent transportation systems research",
year="2021",
author="Malvin, N. and Pudjaprasetya, S. R.",
volume="19",
number="1",
pages="128-140",
abstract="Traffic jams that appear without distinguishable reason is called phantom traffic jam. To study this phenomenon, macroscopic modelling using the second-order Payne-Whitham equation was adopted. In this article, the staggered conservative scheme applied on a staggered grid was implemented to solve the equation. Using this scheme, different behavior of a perturbed equilibrium solution was simulated; it might either decay or grow, depending on the critical threshold parameter. When unstable, a small perturbation was amplified into a local peak of high traffic density. This type of traveling wave is called a jamiton. On a circular road of a certain length and with a fixed number of vehicles, the growing process of these traveling jamiton waves was simulated. The shape and propagation speed of these numerical jamitons are shown to confirm the analytical formulas. A good understanding of this phenomenon may support decision-makers and engineers to determine the judicious selection of speed limits of a certain road section.<p /> <p>Language: en</p>",
language="en",
issn="1348-8503",
doi="10.1007/s13177-020-00229-y",
url="http://dx.doi.org/10.1007/s13177-020-00229-y"
}