International Meshing Roundtable ( IMR 23 ) Smoothing of Unstructured Grids

Two mesh smoothing techniques applied to unstructured grids are compared. These are based on the solution of elliptic equations, Laplace and Winslow, applied to a uniform grid in computational space. In the first case, the equations are solved by a barycentric averaging procedure, and for the second case, a vertex-based finite volume scheme, with piece-wise local virtual control volumes is used. In addition, an improved treatment for cross derivatives terms in the Winslow equations has been implemented. The smoothing characteristics of these two techniques are compared using three quality measures: minimum angle, shape factor and a smoothness ratio as local criteria. Finally, a global quality smoothness criterion is introduced and used to assess global smoothing properties of these methods. c © 2014 The Authors. Published by Elsevier Ltd. Peer-review under responsibility of organizing committee of the 23rd International Meshing Roundtable (IMR23).