| File | What | When |
|---|---|---|
W11_lecture.html
(.qmd source) |
Lecture slides — Parts A, B, C, D | in class |
W11_lab.ipynb
(Colab) |
In-class lab: the boundary layer against the mesh, the de Vahl Davis cavity at Ra=10^3 with the Nusselt number two ways, continuation up to Ra=10^6 (and a direct start failing), Picard against Newton, LLM exercise (the cavity at Ra=10^5) | in class (≈ 80 min) |
W11_HW10.ipynb
(Colab) |
HW10 — scalings, the consistent flux and the symmetry (theory), a manufactured solution, the Nusselt number on four mesh families, Nu(Ra), Picard’s contraction and relaxation, heated from below (two branches, the onset), an LLM-generated benchmark script with defects | due before Week 12 |
../dolfinx_0.11_api_reference.md |
DOLFINx 0.11 API reference sheet — §16t coupled flow and temperature in one mixed space, continuation, consistent fluxes — paste it into your LLM | always |
Open a notebook in Colab: click its link on the
course page or below — it opens in Colab; then File → Save a copy in
Drive and work on that copy. (Or upload the .ipynb to
Google Drive → right-click → Open with → Google Colaboratory.)
Run the setup cell first (≈ 3–5 min); re-run it after every runtime
restart.
Where code can run: basix,
ufl, dolfinx, petsc4py are used
only inside %%fenicsx cells. Ordinary cells have NumPy and
matplotlib only. The model is one module written by the
%%writefile /tmp/fnx/bouss.py cell — run it first. All
cells run with -np 2.
Before submitting: Runtime → Restart session and
run all, fill in the AI-usage log, download the
.ipynb. An error inside a %%fenicsx cell does
not stop Run all: the traceback is printed and
the next cell runs anyway. Scroll through every output before you
submit. (The first cell of HW10 Q7 runs an LLM-generated script that is
meant to be wrong.) The lab runs in about two minutes locally,
HW10 in about four (longer on Colab).
Week 12 starts with a 10-minute quiz on this week’s lecture (closed-AI).