PREPROCESSED CONSTRAINT GUIDED QUADRILATERAL MESH GENERATION

Resumo

Numerical methods, such as the finite element method, have been recognized as a great tool for product
design in the present market, helping engineers to increase product quality in less development time. However,

the quality of the element mesh affects the numerical results, so it is necessary to seek a method that gener-
ates good elements. Quadrilateral (two-dimensional) and hexahedral (three-dimensional) mesh is recognized to

produce good numerical results, although the automatic generation techniques are still complex and face some
restrictions in complex geometries to inhibit distorted elements. In general, methods that generate meshes with
fewer singularities require a more restricted geometric shape to generate elements, which demands a greater time
in its construction. The algorithm proposed aims to produce good quality quadrilateral meshes automatically over

arbitrary geometry, for that it preprocesses the current geometry correcting common features that difficult quadri-
lateral mesh generation. In sequence, it generates a quadrilateral mesh, first adjusting in a topological coordinate

system a mesh that considers constraints coming from geometry, like element density and boundary line angles.
Thus, the singularities are arranged in a way that reduces distorted elements. Hence, it maps the resulting mesh
to the Euclidean coordinate system using the transfinite mapping method for all regions. As a result, it is possible
to generate good quality quadrilateral mesh even on distorted geometries in comparison with methods available in
actual commercial software.