Unstructured Viscous Layer Insertion Using Linear-Elastic Smoothing
Steve L. Karman · AIAA Journal · 2006
A robust scheme for generating unstructured viscous meshes, using elliptic partial differential smoothing, is presented. Linear-elasticity relationships, borrowed from the structural mechanics discipline, provide the governing partial differential equations for smoothly displacing the existing mesh, making room for new viscous layers. These viscous layers are allowed to advance up adjacent, nonviscous boundaries. A process of inserting layers on alternating boundary groupings enables the creation of high-quality hexahedral elements in juncture regions. Viscous layer height is allowed to vary, depending on the size of the local inviscid mesh. Three-dimensional results are included to illustrate the use of the method to produce high-quality viscous meshes.