Fluids¶
solid pillars 1, 3, 4
Continuum mechanics through to CFD practice. The richest section of the source archive, and the section used to prove out the note template.
Pages¶
| Page | Covers |
|---|---|
| Governing equations | Conservation laws, Navier-Stokes, nondimensionalization, regime identification |
| Incompressible flow | Pressure as Lagrange multiplier, projection, SIMPLE/PISO, Rhie-Chow |
| Compressible flow | Characteristics, shocks, Riemann solvers, limiters |
| Stability and transition | Orr-Sommerfeld, inflection points, bypass transition, the \(e^N\) method |
| Turbulence | Scales, cascade, spectra, and the closure problem |
| › RANS closures | Boussinesq, k-ε, k-ω SST, wall treatment and \(y^+\) |
| › Large eddy simulation | Filtering, Smagorinsky, dynamic and WALE models, resolution cost |
| CFD | The discretization pipeline |
| › Finite volume | Face fluxes, reconstruction, limiters, gradients, non-orthogonality |
| › Time integration | CFL and diffusive limits, explicit vs implicit, stiffness |
| › Meshing and grid quality | Quality metrics, boundary-layer sizing, AMR, grid convergence |
Reading order¶
For a cold recap, follow the physics down into the numerics:
Governing equations → split by regime into incompressible or compressible → stability and transition for how laminar flow ends → turbulence for what cannot be resolved → CFD for how any of it is actually computed.
For a specific problem, go straight to the failure-modes block of the relevant page. That is where the answer usually is.
Connections¶
- Thermal Sciences — heat transfer and combustion on top of this flow physics.
- Notebooks — the Sod shock tube worked end to end.
- Foundations — the numerics these pages apply.
- Aerospace — where this physics is used.
- Meteorology — the atmosphere as a fluid.
- Scientific ML — learned closures and surrogates.
- Toolchains › CFD codes — the solvers.
Sources¶
Archive pointers are listed per page. Others/Jameson, Others/Turbulence_JCM and
Others/UMD_Turb carry most of the CFD and turbulence material; see the
course archive for the rest.