Advances in the development of a High Order, Viscous-Inviscid Interaction Solver

We present a high order viscous-inviscid interaction solver for aerodynamic flows. Our approach is based on a split formulation where the viscous and inviscid effects are solved in two different domains that overlap near solid walls or the wake centerline and are coupled using the equivalent mass transpiration proposed by Lighthill. Both the viscous and inviscid solvers are based on a high order Hybridized Discontinuous Galerkin scheme (HDG). In the case of the viscous solver, the mesh is extruded on the fly from the surface mesh using a normal scaling indicator ?, based on integrated boundary layer quantities, that is computed as part of the solution. Results will be presented to validate the coupled viscous-inviscid solver in a variety of cases using the Euler equations as well as the full potential equation as inviscid models.