Traveling Wave Profiles for a Follow-the-Leader Model for Traffic Flow with Rough Road Condition

Numerical simulation codes and results

Wen Shen

The simulations were carried out in Scilab. One can download the open source software from www.scilab.org.


The code for the profiles Q(x), for various cases:
The stationary viscous profiles for various cases are generated with this code . It generated the following plots:


For the solutions of the Follow-the-Leader model, I use this code . Here are the plots it generates: One can easily modify the plotting command, to view an animation of the solution.
For the simulation of FtL model with Riemann data, I use this code. It generates the following plots:

One can easily test with any Riemann data with this code.


For the simulation of the viscous conservation law with Reiamnn data, I use this code. It generates the following plot:

Again, one can easily test with any Riemann data with this code.


Wen Shen
Last modified: Tue Oct 31 13:02:41 EDT 2017