Appendix B — Notation and symbols
| Symbol | Meaning |
|---|---|
| \(\Omega\) | Fluid domain |
| \(\partial\Omega\) | Domain boundary |
| \(\mathbf u\) | Velocity vector |
| \(p\) | Pressure |
| \(\rho\) | Fluid density |
| \(\mu\) | Dynamic viscosity |
| \(\nu=\mu/\rho\) | Kinematic viscosity |
| \(\mathbf f\) | Body force per unit volume in the stated momentum equation |
| \(\mathbf v, q\) | Velocity and pressure test functions |
| \(V, Q\) | Continuous velocity and pressure spaces |
| \(V_h, Q_h\) | Discrete finite-element spaces |
| \(h\) | Characteristic mesh length |
| \(\Delta t\) | Time increment |
| \(\mathrm{Re}\) | Reynolds number |
Convention note: Pressure, forcing, residual signs, and divergence operators may have alternate but consistent conventions in other references. State the convention before comparing block matrices.