Geração de malhas de elementos finitos triangulares em domínios planos usandos métodos do avanço da fronteira

AUTOR(ES)

Marlon de Oliveira Vaz

DATA DE PUBLICAÇÃO

2003

RESUMO

The objective of this work is to build a computational tool for finite element mesh generation in polygonal domains employing triangular elements. The method adopted for mesh generation is the Advancing Front Method for being simpler to implement and for guaranteeing good quality meshes. The choice of the method was made after a comprehensive study of various mesh generation methods. The mesh generator developed generates triangular elements at the domains front. This generation takes into account the angles between the straight line segments used to define a triangle which are defined by the nodes inserted along the front. Therefore, angles are created that allow for the generation of one, or two, or three triangles inside the domain. After the generation of all elements, an algorithm is used to close the open front, thus generating a new front. This procedure is repeated until an open area is left at the center region of the domain because it is no longer possible to create triangles to fill it. To end the mesh generation, a sewing procedure is then started to close the open area. The mesh may be uniform or gradual. In the uniform mesh, the elements are of the same size while their sizes vary with the insertion of new nodes in the gradual mesh. Finally, to improve the mesh configuration, a Laplacian smoothing procedure is employed.

ASSUNTO(S)

método dos elementos finitos engenharia mecanica geração numérica de malhas (análise numérica)

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