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Title: Implementation in ALBERTA of an automatic tetrahedral mesh generator
Authors: Montenegro, R. 
Cascón, J. M.
Escobar, J. M. 
Rodriguez, E. 
Montero, G. 
UNESCO Clasification: 12 Matemáticas
Keywords: Adaptive finite element
Boundary surfaces
Discrete functions
Domain boundary
Local refinement
Mesh optimization
Mesh topologies
Tetrahedral meshes
Issue Date: 2006
Project: Simulacion Numerica de Campos de Viento Orientados A Procesos Atmofericos. 
Conference: 15th International Meshing Roundtable 
15th International Meshing Roundtable, IMR 2006 
Abstract: This paper introduces a new automatic tetrahedral mesh generator on the adaptive finite element ALBERTA code. The procedure can be applied to 3D domains with boundary surfaces which are projectable on faces of a cube. The generalization of the mesh generator for complex domains which can be split into cubes or hexahedra is straightforward. The domain surfaces must be given as analytical or discrete functions. Although we have worked with orthogonal and radial projections, any other one-to-one projection may be considered. The mesh generator starts from a coarse tetrahedral mesh which is automatically obtained by the subdivision of each cube into six tetrahedra. The main idea is to construct a sequence of nested meshes by refining only the tetrahedra which have a face on the cube projection faces. The virtual projection of external faces defines a triangulation on the domain boundary. The 3-D local refinement is carried out such that the approximation of domain boundary surfaces verifies a given precision. Once this objective is achieved reached, those nodes placed on the cube faces are projected on their corresponding true boundary surfaces, and inner nodes are relocated using a linear mapping. As the mesh topology is kept during node movement, poor quality or even inverted elements could appear in the resulting mesh. For this reason, a mesh optimization procedure must be applied. Finally, the efficiency of the proposed technique is shown with several applications.
ISBN: 3-540-34957-X
DOI: 10.1007/978-3-540-34958-7_19
Source: Proceedings of the 15th International Meshing Roundtable, IMR 2006, p. 325-338
Appears in Collections:Actas de congresos
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