Unstructured Viscous Layer Insertion Using Linear-Elastic Smoothing

Steve L. Karman Jr.
UT SimCenter at Chattanooga, The University of Tennessee at Chattanooga,
Chattanooga, Tennessee, 37403

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, non-viscous boundaries. A process of inserting layers on alternating boundary groupings enables the creation of high quality hexahedral elements in juncture regions. Three-dimensional results are included to illustrate the use of the method to produce high quality viscous meshes.