Unbounded Immersed Interface Solver for Vortex Particle-Mesh Methods

This paper aims at presenting an alternative and more consistent way to account for bodies in the framework of computing incompressible external flows in aerodynamics using vortex particle-mesh methods (VPM). More specifically, we present a purely grid-based numerical technique using an immersed interface method and the James-Lackner algorithm to compute the 2-D potential flow in an unbounded domain, including irregular interior boundaries and also the presence of a given vorticity field. This ingredient is one of the main components that are required for the computation of general viscous flows. It is therefore the first step towards an integrated unbounded immersed interface VPM method.