23rd International Meshing Roundtable
Universite catholique de Louvain, Institute of Mechanics, Belgium
Universite de Liege, Belgium
Fonds National de la Recherche Scientifique, Belgium
This paper presents a method to generate valid 2D high order meshes with optimized geometrical accuracy. The high order meshing
procedure starts with a straight sided mesh. High order points are initially snapped to the real geometry without taking care of the
validity of the high order elements. An optimization procedure that both allow to untangle invalid elements and to optimize the
geometrical accuracy of the mesh is presented. An area based distance is proposed to compute the geometrical discrepancy between
the mesh and its underlying geometry. This area based distance is shown to be strongly related to standard distance measures such
as the Hausdor distance, while being largely faster to compute.
The new distance is minimized through an unconstrained optimization procedure, allowing significant improvements of the
geometrical accuracy of high order meshes. A simple computational example shows that geometrically optimized meshes allow
smooth CFD solutions.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article