Community Project

[MaYeatCo]

Hello, PyClaw developers. We are 2 students, in the numerical PDE class led by Jed Brown. We have a project to contribute to the Numerical PDE community, and we are considering adding another notebook/tutorial/example to the gallery or https://github.com/clawpack/apps/. Right now, we focus on using PyClaw to solve the Euler system described in "On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes" by Zhang et al (specifically, example 2.2). Another equation would be Burgers' equation variant, again specifically for PyClaw.

We are slowly getting to know PyClaw better via the website. We tested some examples. Still it's our first time contributing to any package in general, We are open to suggestions/directions (e.g. which equation might be another good candidate)!

P.S. if it's not the right place for this type of communication, my apologies. Please again direct where this should be relevant

Madi Yerlanov and Christina Wang

[ketch]

@MaYeatCo That's great! There are a few things I've done recently that I meant to add to clawpack/apps but haven't had the time. If you find one of them interesting you could perhaps focus on it:

• Shallow water waves over periodic bathymetry (in 1D): https://arxiv.org/abs/2311.02603
  It should be very easy to set this up since I've provided all the code: https://github.com/ketch/shallow_water_bathymetry_effective_medium_RR
  To go a bit further you could make a notebook exploring different bathymetries, different algorithms, what happens with different kinds of initial data, etc.
• The circular hydraulic jump: https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.5070
  I also have code for this but it's not cleaned up. Let me know if you're interested and I can link you to it.

[MaYeatCo]

@ketch

Thank you for the suggestions!

We will look into those, they also seem promising!

P.S. still open to directions/general advice/etc!