Título: | GEOMETRIC AND NUMERICAL ADAPTATIVITY OF 2D AND 3D FINITE ELEMENT MESHES | ||||||||||||||||||||||||||||||||||||||||
Autor: |
RAFAEL ARAUJO DE SOUSA |
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Colaborador(es): |
LUIZ FERNANDO CAMPOS RAMOS MARTHA - Orientador ANTONIO CARLOS DE OLIVEIRA MIRANDA - Coorientador |
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Catalogação: | 20/AGO/2007 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||||||||||||||||||||||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=10376&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=10376&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.10376 | ||||||||||||||||||||||||||||||||||||||||
Resumo: | |||||||||||||||||||||||||||||||||||||||||
This work presents a methodology for adaptive generation
of 2D and 3D
finite-element meshes using geometric modeling with multi-
regions and
parametric surfaces. The adaptive strategy adopted in this
methodology is based
on independent refinements of curves, surfaces and solids.
Initially, the model´s
curves are refined using a binary-partition algorithm in
parametric space. The
discratizetion of these curves is used as input for the
refinement of adjacent
surfaces. Surface discretization is also performed in
parametric space and
employs a quadtree-based refinement coupled to an
advancing-front technique
for the generation of an unstructured triangulation. These
surface meshes are
used as input for the refinement adjacent volumetric
domains. Volume
discretization combines an octree refinement with an
advancing-front technique
to generate an unstructural mesh of tetrahedral elements.
In all stages of the
adaptive strategy, the refinement of curves, surface
meshes and solid meshes is
based on estimated numerical errors associated to the mesh
of the previous step
in the adaptive process. In addition, curve and surface
refinement takes into
account metric distortions between parametric and
Cartesian spaces and high
curvatures of the model´s geometric entities. The adaptive
strategies are
implemented in two different modelers: MTOOL (2D) and MG
(3D), which are
responsible for the creation of a geometric model with
multi-regions, where for
case 3D the curves and surfaces are represented by NURBS,
and for the
interactive and automatic finite-element mesh generation
associated to surfaces
and solid regions. Numerical examples of the simulation of
engineering problems
are presented in order to validate the methodology
proposed in this work.
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