Cutting a tetrahedral mesh by implicit surfaces

in: 2016 RING Meeting, ASGA

Abstract

Numerical simulations, such as flow simulation, need a space discretization that set equivalent media properties to be use in the computation. Geomodels individualize structures that either segregate rock types or locally impact the rock mechanical properties. Volumetric meshes must integrate these structures in order to store consistent physical properties. We propose a method to update volumetric tetrahedral mesh by cutting mesh elements. This work has been developped with an implicit modeling framework where geological objects are represented as isovalue of a 3D scalar field. The method starts with a purely tetrahedral mesh and produces a hybrid (i.e. composed of tetrahedra, prisms, pyramids and hexahedra) unstructured mesh while adding implicit surfaces. It opens new perspectives for automatic mesh simplification and for incremental structural modeling.

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BibTeX Reference

@INPROCEEDINGS{,
    author = { Raguenel, Margaux and Caumon, Guillaume and Botella, Arnaud },
     title = { Cutting a tetrahedral mesh by implicit surfaces },
 booktitle = { 2016 RING Meeting },
      year = { 2016 },
 publisher = { ASGA },
  abstract = { Numerical simulations, such as flow simulation, need a space discretization that set equivalent
media properties to be use in the computation. Geomodels individualize structures that either
segregate rock types or locally impact the rock mechanical properties. Volumetric meshes must
integrate these structures in order to store consistent physical properties. We propose a method to
update volumetric tetrahedral mesh by cutting mesh elements. This work has been developped with
an implicit modeling framework where geological objects are represented as isovalue of a 3D scalar
field. The method starts with a purely tetrahedral mesh and produces a hybrid (i.e. composed of
tetrahedra, prisms, pyramids and hexahedra) unstructured mesh while adding implicit surfaces. It
opens new perspectives for automatic mesh simplification and for incremental structural modeling. }
}