PyCLAW Tutorial: 1D Advection

To solve this PDE we will use a Finite Volume Mesh with 100 cells and attach a 1D advection Riemann solver to it.

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Timestamp:
00:00 Introduction
00:44 About PyCLAW
00:56 About 1D Advection as a hyperbolic conservation law
01:12 Scenario: Profile moving to the right
01:41 Strategy in PyCLAW
02:51 Imports
03:21 Boilerplate
03:40 (1) Define Finite Volume Solver with Riemann Solver attached
04:14 (1) Attach Periodic Boundary Conditions
04:50 (2) Define Finite Volume Mesh
05:30 (3) Instantiate a solution field on the Mesh
06:09 (4) Prescribe Initial Condition
08:45 (5) Problem-Specific Parameters (=advection speed)
09:42 (6) Instantiate Controller for time integration
10:45 (7) Run Controller & Visualize Results
11:10 Execute Script
11:31 Saved Files
12:01 Plotting & Discussion of Results
14:11 Outro

[solounomas]

whait if the velocity is not constant and changes with the density(q)??

[kylet.mandli]

Thanks for the excellent walk-through. I am one of the PyClaw developers so it is appreciated. 

I also realized after I looked your name up that the reason you may have heard of PyClaw was that you were at TUM for a bit and we probably know many of the same people as I have visited and worked with Michael Bader in the past. I will keep a look out for any additional videos on related topics.

[lorenguaschi]

Your video is very interesting and well done. I have a problem with displaying the graphs, in particular, after answering in the terminal to " start at which frame? " the message " *** Reached EOF in file " appears and it doesn't show the graph. How can I fix?

[comment]

Anaconda does not want to load pyclaw in windows ... seems like only Linux version is available

[mickolesmana]

Before that, thanks for uploading this video. Anyway, this is so creepy or a blessing? I literally need a tutorial for FDM for simple CFD in python, and boom.