In this example we use CentPack's two-dimensional, third order semi-discrete formulation, centpack_2d_SD3, to evolve the solution of the nonlinear scalar conservation law
The solution is evolved over the computational domain , from to , using a 144 x 144 mesh and cfl number 0.9. The initial conditions are
and the solution is periodic over the solution domain,
The image below display the initial conditions, click on it to see an animation up to .
Click on the image to see an animation
The files implementing this example are included in the current CentPack distribution, CP-1.0. Read here how to run and compile this example.