3 ms·
It's really cool how a Mach number emerges from traffic flow, with speed of cars vs speed of information, completely with shock waves and everything!
by bernulli 5y ago
It's really cool how a Mach number emerges from traffic flow, with speed of cars vs speed of information, completely with shock waves and everything!
- pfdietz 5y agoThe equation you want for this is the Burgers Equation. https://en.wikipedia.org/wiki/Burgers%27_equation https://en.wikipedia.org/wiki/Burgers%27_equation This equation was initially thought of as the appropriate continuous version of the discrete problem investigated by Fermi-Pasta-Ulam-Tsingou (on a very early digital computer shortly before Fermi's death), but then it was realized the KdV equation was better for that. https://en.wikipedia.org/wiki/Fermi%E2%80%93Pasta%E2%80%93Ulam%E2%80%93Tsingou_problem https://en.wikipedia.org/wiki/Fermi%E2%80%93Pasta%E2%80%93Ul... https://en.wikipedia.org/wiki/Korteweg%E2%80%93De_Vries_equation https://en.wikipedia.org/wiki/Korteweg%E2%80%93De_Vries_equa...
- FabHK 5y agoNice short course on edX, if you want to see it in action: Intro to Traffic Flow Modeling and Intelligent Transport Systems (Note that thanks to aggressive monetisation of MOOCs they shut off access to the course a few weeks after you enrol in it.) https://www.edx.org/course/intro-to-traffic-flow-modeling-and-intelligent-tra https://www.edx.org/course/intro-to-traffic-flow-modeling-an...