19th International Meshing Roundtable
Chattanooga, Tennessee, USA.
October 3-6, 2010
SimCenter: National Center for Computational Engineering
University of Tennessee at Chattanooga
Chattanooga TN, USA
A two-dimensional unstructured elliptic smoothing method is described where the Winslow
equations are discretized using a finite volume approach. Virtual control volumes for each node
are constructed with element shapes that are nearly ideal. Green-Gauss theorem is used to
formulate gradients over an element or a collection of elements for a node, which ultimately leads
to a coupled non-linear system of equations. Modifications enable the scheme to reproduce results
similar to structured mesh schemes. Results are included that demonstrate basic mesh smoothing
and boundary motion. In addition, layers of quadrilateral elements can be added to selected
boundaries and the interior point positions are determined via elliptic smoothing.
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