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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    "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>", 
    "language": "eng", 
    "title": "Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing", 
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    "keywords": [
      "Hex mesh", 
      "Medial Object", 
      "Frame fields", 
      "Cross fields", 
      "Singularity", 
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    "publication_date": "2020-02-06", 
    "creators": [
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        "affiliation": "Queen's University Belfast", 
        "name": "Papadimitrakis, Dimitrios"
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        "affiliation": "Queen's University Belfast", 
        "name": "Armstrong, Cecil G."
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      {
        "affiliation": "Queen's University Belfast", 
        "name": "Robinson, Trevor T."
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      {
        "affiliation": "Rolls-Royce plc", 
        "name": "Le Moigne, Alan"
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      {
        "affiliation": "Rolls-Royce plc", 
        "name": "Shahpar, Shahrokh"
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      "dates": "October 14-17, 2019", 
      "place": "Buffalo, New York, USA", 
      "title": "28th International Meshing Roundtable"
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