13th International Meshing Roundtable
Willimasburg, Virginia, USA
September 19-22, 2004
Ecole Polytechnique de Montreal
C.P. 6079, Succ. Centre-ville, Montreal (QC) H3C 3A7, Canada.
Riemannian metric tensors are used to control the adaptation of meshes for finite element and finite volume computations. To study
the numerous metric construction and manipulation techniques, a new method has been developed to visualize two-dimensional
metrics without interference from any adaptation algorithm. This method traces a network of orthogonal tensor lines to form a
pseudo-mesh visually close to a perfectly adapted mesh but without many of its constraints. Although the treatment of isotropic
metrics could be improved, both analytical and solution-based metrics show the effectiveness and usefulness of the present method.
Possible applications to adaptive quadrilateral and hexahedral mesh generation are also discussed.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article