Theory
This section provides the mathematical derivations underlying the simbl solver including the governing equations and the resuling ODEs that are solved numerically.
| Section | Contents |
|---|---|
| Boundary Layer Equations | Compressible laminar BL equations in 2D, 3D, quasi-3D, and axisymmetric form |
| Axisymmetric to 2D Transform (Mangler) | Maps the axisymmetric BL to an equivalent 2D problem |
| Similarity to Physical Coordinate Transform | Inverse transform from similarity coordinate \(\eta\) to physical coordinate \(y\) |
| Falkner-Skan | Similarity reduction of the 2D compressible BL equations |
| Falkner-Skan-Cooke | Similarity reduction for swept/yawed flows (quasi-3D) |