A potential flow formulation with separation and viscous boundary layer

Potential flow solvers allow to simulate the lift of a foil with great accuracy and computational efficiency. Coupling a potential flow solver with a boundary layer model, allows to also simulate the skin friction over foils. However, since potential flow is per definition inviscid, flow separation cannot be resolved. That limits the applicability of potential flow solvers to (mostly-)attached flow configurations. This limitation becomes particularly relevant in propeller applications. Consider a shipping vessel with a controllable-pitch propeller (CPP) and let that vessel reverse its thrust. To overcome these limitations, a coupled potential flow and viscous boundary layer model is developed. Starting with simple analytical geometries to validate one-way and two-way interactions, then identifying flow separation limits and refining viscosity models to improve pressure predictions. Finally, it is desired to implement this framework in a Boundary Element Method (BEM) code.