TY  - JOUR
PY  - 2021//
TI  - Staggered conservative scheme for simulating the emergence of a jamiton in a phantom traffic jam
JO  - International journal of intelligent transportation systems research
A1  - Malvin, N.
A1  - Pudjaprasetya, S. R.
SP  - 128
EP  - 140
VL  - 19
IS  - 1
N2  - 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>
LA  - en
SN  - 1348-8503
UR  - http://dx.doi.org/10.1007/s13177-020-00229-y
ID  - ref1
ER  -