A stable and efficient hybrid scheme for viscous problems in complex geometries

In this paper we present a stable hybrid scheme for viscous problems. The hybrid method combines the unstructured finite volume method with high-order finite difference methods in complex geometries. The coupling procedure between the two numerical methods is based on energy estimates and stable interface conditions are constructed. Numerical calculations show that the hybrid method is efficient and accurate. keywords Viscous problems, hybrid methods, finite difference, finite volume, coupling procedure, stability, efficiency