[WIP] Setting the PPM advection problem
This PR, implements:
- The PPM mesh reconstruction in the interface of the centered state.
- The advection PPM numerical scheme.
- An example on which the PPM numerical scheme operates on.
- A Test that provides the validity of the numerical scheme.
Two more things remain:
- To clean
simulation.pyand inherit as much as possible, and make soft links to the originaladvectionproblem folder.
Check out this pull request on ![]()
See visual diffs & provide feedback on Jupyter Notebooks.
Powered by ReviewNB
I decided to clean the previous PR, since it contained many forced pushes. (I don't like the idea of pushing something that probably I shouldn't had). The advection PPM method now converges at second order as follows:

Comparing the PPM vs PLM method, I have decided to compare the smooth problem using both methods, giving the following convergence result:

This PR is ready for review. One changed proposed by @simonguichandut was to include the PPM as an option in the advection problem, leaving different folders for different time integration schemes. I want to follow this approach in a separate PR.