I used the TikZ package in $\LaTeX$ to draw diagrams for Lattice-Boltzmann Method (LBM) algorithms.

Here is my work.

The diagrams can be regenerated by compiling the corresponding .tex files in the ./d2q9/ and ./d3q27/ directories. The resulting .pdf files can then be converted to .svg format. I recommend using pymupdf for this conversion, as demonstrated in my script here.

The main work was done with the assistance of GPT-5 in Copilot.

d2q9labelcode.py and d3q27labelcode.py are examples of how to utilize the label definitions in your own code.

Feel free to use these diagrams in your work.