Local volume‐conserving free surface smoothing
Fabricio Simeoni de Sousa, Antonio Castelo, Luís Gustavo Nonato, Norberto Mangiavacchi, José Alberto Cuminato · Communications in Numerical Methods in Engineering · 2006
Abstract Removing high‐frequency undulations in surfaces is a problem that appears in different fields, such as computer graphics and computational fluid mechanics. This problem is typically handled by surface smoothing techniques, such as Laplacian filters, that eliminate high‐frequency undulations but degrade the volume encompassed by the surface. The need for conserving volume (or mass) rules out the use of such techniques in several application, as for example incompressible flows. In this work we present a smoothing technique that suppresses undulations while conserving local volumes, ensuring that the global mass is conserved. The effectiveness of the proposed technique is illustrated in synthetic datasets as well as in free surface flows simulation. Comparisons between our smoothing approach and the well‐known Laplacian filter are also presented. Copyright © 2006 John Wiley & Sons, Ltd.