Piston problem for the pressureless hydrodynamic traffic flow model

• Published in: Physics of fluids (1994) Vol. 36; no. 5
• Main Authors: Wang, Zhengqi, Guo, Lihui, Wei, Zhijian
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01.05.2024
• Subjects: Evacuation; Rarefaction; Shock wave propagation; Traffic congestion; Traffic flow; Traffic jams; Traffic models; Traffic volume

The hydrodynamic model can be used to describe traffic problems in transport. When the speed of the first car is less than the speed behind it, it leads to traffic jams. When the first car's speed is faster than the cars behind it, it leads to traffic evacuation. If we consider the first car to...