Triangle and Tetrahedral Meshes for Geological Models

François Lepage. ( 2002 )
in: 22th gOcad Meeting, ASGA

Abstract

The process of solving the systems of equations yielded by finite element method is simpler and faster on structured meshes, because of the ease of determining each node’s neighbors. Nonetheless, there are cases in which unstructured meshes are preferable or even indispensable, as they have the capability to fill any given volume with arbitrary shape and provide much more flexibility. Triangle and tetrahedral meshing are by far the most common forms of unstructured mesh generation. In this paper, we present two advanced triangular and tetrahedral mesh generators, and ways for creating a topological model suitable for such tessellations. Despite of the fact that the resulting simplex meshes can provide conformity to complex geometries, they are very satisfying concerning the shape and the size of the elements, honoring various user-defined constraints.

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    BibTeX Reference

    @inproceedings{LepageRM2002,
     abstract = { The process of solving the systems of equations yielded by finite element method is simpler and faster on structured meshes, because of the ease of determining each node’s neighbors. Nonetheless, there are cases in which unstructured meshes are preferable or even indispensable, as they have the capability to fill any given volume with arbitrary shape and provide much more flexibility. Triangle and tetrahedral meshing are by far the most common forms of unstructured mesh generation. In this paper, we present two advanced triangular and tetrahedral mesh generators, and ways for creating a topological model suitable for such tessellations. Despite of the fact that the resulting simplex meshes can provide conformity to complex geometries, they are very satisfying concerning the shape and the size of the elements, honoring various user-defined constraints. },
     author = { Lepage, François },
     booktitle = { 22th gOcad Meeting },
     month = { "june" },
     publisher = { ASGA },
     title = { Triangle and Tetrahedral Meshes for Geological Models },
     year = { 2002 }
    }