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Smoothing of Unstructured Grids

Falsafioon, Mehdi, Sina Arabi, Francois Guibault, Ricardo Camarero

23rd International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-15 2014

IMR
PROCEEDINGS

23rd International Meshing Roundtable
London, UK
October 12-15,2014

École Polytechnique de Montréal, 2900 boul. Édouard-Montpetit, Campus de l’Université de Montréal, 2500 chemin de Polytechnique, Montréal (Québec), Canada H3T 1J4
Email: mehdi.falsafioon@polymtl.ca, sina.arabi@polymtl.ca, francois.guibault@polymtl.ca, ricardo.camarero@polymtl.ca

Abstract
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.

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