Chatelain, PhilippeWinckelmans, GrégoireVan Kerm, OtisOtisVan Kerm2025-05-142025-05-142025-05-142024https://hdl.handle.net/2078.2/37454This thesis investigates the implementation of a flexible viscous-inviscid boundary condition within the context of a vorticity-velocity formulation of the Navier-Stokes equations. The study employs the immersed interface method to handle the discontinuities at the boundary, following the work of James Gabbard. This boundary condition allows us to choose between a slip and a no-slip condition on the surfaces of various bodies immersed in a fluid. This boundary condition is tested using impulsively started cylinders, where we look at flow qualities such as the Strouhal number of the vortex shedding of the separation point of the flow. After that, it is used to look at impulsively started airfoils and airfoils in a steady state by using a panel method to find the circulation enforcing the Kutta-Joukowski condition. These results are compared with classical results for the theory of unsteady potential flows.Immersed interface methodBoundary conditionVorticity-velocityNavier-stokestext::thesis::master thesisthesis:45782