Lecture 06 Part I: Lighthill-Whitham-Richards (LWR) Models

In this lecture, I introduce the most important class of macroscopic traffic flow models, the LWR models, where there is only a single dynamic equation for the density while the speed is statically coupled to the density via the fundamental diagram. That's why this class is also called first-order models. Particularly useful is the LWR model with a triangular fundamental diagram, and we can a lot on traffic flow dynamics by analyzing it. 0:00 General 1:48 6.1 Motivation and Equations 9:56 6.2 Wave Velocity 22:19 6.3 Shock-Wave Fronts 36:13 6.4 Triangular Fundamental Diagram (FD) 41:45 6.5 Unique Properties of the Triangular FD