Add advdiffreac.ipynb for demo

[RequieMa]

First trial for #94 Used adios4dolfinx for reading NS solutions (Personally, store solutions from each time step in a form of "./Flows/flow_function_{i}". There may be a better way to store all time sequence in one folder)

[carlosal1015]

~@BillMaZengou I guess the mesh file is missing. I tried with no luck with adios4dolfinx-0.7.3.~

$ docker run -it --rm -p 8888:8888 ghcr.io/cpp-review-dune/introductory-review/jupyter-dolfinx
$ git clone https://github.com/BillMaZengou/dolfinx-tutorial.git
$ cd dolfinx-tutorial
$ git switch Advect_diff_Eq_Demo
$ startJupyter &

Could be nice be formatted with nbQA.

Edited 6/2/2024:

Hi @RequieMa, I did some progress from your advance in this branch, mostly from here, I noticed that the mesh was taken from Solving PDEs in Python – The FEniCS Tutorial Volume I and implemented in chapter2/ns_code2.ipynb so I added gmsh.write("mesh_flow.msh") there in order to read sucessfully. The setup is python 3.12.3, dolfinx 0.8.0, petsc 3.21.2 and adios4dolfinx 0.8.1.post0. Could you try in local or in remote here over Arch Linux.

[jorgensd]

First trial for #94 Used adios4dolfinx for reading NS solutions (Personally, store solutions from each time step in a form of "./Flows/flow_function_{i}". There may be a better way to store all time sequence in one folder)

Ive made major updates to adios4dolfinx that would make checkpointing easier for multiple, tome-dependent solutions:)