# Analytical Cases

Laminar flows with closed-form or series-expansion reference solutions. These are the first quantitative checks a solver must pass: each isolates a single mechanism (pure shear, a pressure gradient, viscous decay) so that any discrepancy maps directly to the collision operator, the boundary conditions or the spatial accuracy of the scheme.

```{toctree}
---
maxdepth: 1
---
01_couette_flow/README.md
02_poiseuille_channel_flow/README.md
03_poiseuille_pipe_flow/README.md
04_taylor_green_vortex_2d/README.md
```