Comparison of Two Mesh Smoothing Techniques for Unstructured Grids

Abstract

In this paper two mesh smoothing techniques are applied to unstructured grids. These are based on the solution of elliptic equations, Laplace and Winslow. In the first case, the equations are solved by a barycentric averaging procedure, and a finite volume scheme is used for the second operator. The comparison of these two techniques are based on two quality measures, shape factor and minimum angle which both are local criteria. Also, a global quality smoothness criterion is introduced and used to assess global smoothing characteristics of these methods.