Conference paper Open Access

Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing

Papadimitrakis, Dimitrios; Armstrong, Cecil G.; Robinson, Trevor T.; Le Moigne, Alan; Shahpar, Shahrokh


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{
  "inLanguage": {
    "alternateName": "eng", 
    "@type": "Language", 
    "name": "English"
  }, 
  "description": "<p>In this work, a novel method for creating decompositions of general 3D domains, suitable for hexahedral mesh generation is presented. To accomplish this, frames and cross-fields are generated on top of the medial object of the domain. The geometrical and topological information carried by the medial object, together with the directional information of the frames/crosses help analyze the domain. By generating frames and cross fields on medial vertices, edges and faces based on touching vectors, a directional field is constructed on top of the medial object. Based on it, critical lines in the domain called, singularity lines, are identified. Starting from these, a complete line network is created on the interior of the domain. This network is extruded to the boundary in order to create the boundary of high-quality partitioning surfaces that are used to decompose the domain into regions appropriate for a high-quality hexahedral mesh. Examples are given to validate the method.</p>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Queen's University Belfast", 
      "@type": "Person", 
      "name": "Papadimitrakis, Dimitrios"
    }, 
    {
      "affiliation": "Queen's University Belfast", 
      "@type": "Person", 
      "name": "Armstrong, Cecil G."
    }, 
    {
      "affiliation": "Queen's University Belfast", 
      "@type": "Person", 
      "name": "Robinson, Trevor T."
    }, 
    {
      "affiliation": "Rolls-Royce plc", 
      "@type": "Person", 
      "name": "Le Moigne, Alan"
    }, 
    {
      "affiliation": "Rolls-Royce plc", 
      "@type": "Person", 
      "name": "Shahpar, Shahrokh"
    }
  ], 
  "headline": "Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2020-02-06", 
  "url": "https://zenodo.org/record/3653428", 
  "@type": "ScholarlyArticle", 
  "keywords": [
    "Hex mesh", 
    "Medial Object", 
    "Frame fields", 
    "Cross fields", 
    "Singularity", 
    "Decomposition"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.3653428", 
  "@id": "https://doi.org/10.5281/zenodo.3653428", 
  "workFeatured": {
    "url": "http://imr.sandia.gov", 
    "alternateName": "IMR", 
    "location": "Buffalo, New York, USA", 
    "@type": "Event", 
    "name": "28th International Meshing Roundtable"
  }, 
  "name": "Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing"
}
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