February 6, 2020 Conference paper Open Access

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

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  <identifier identifierType="DOI">10.5281/zenodo.3653428</identifier>
  <creators>
    <creator>
      <creatorName>Papadimitrakis, Dimitrios</creatorName>
      <givenName>Dimitrios</givenName>
      <familyName>Papadimitrakis</familyName>
      <affiliation>Queen's University Belfast</affiliation>
    </creator>
    <creator>
      <creatorName>Armstrong, Cecil G.</creatorName>
      <givenName>Cecil G.</givenName>
      <familyName>Armstrong</familyName>
      <affiliation>Queen's University Belfast</affiliation>
    </creator>
    <creator>
      <creatorName>Robinson, Trevor T.</creatorName>
      <givenName>Trevor T.</givenName>
      <familyName>Robinson</familyName>
      <affiliation>Queen's University Belfast</affiliation>
    </creator>
    <creator>
      <creatorName>Le Moigne, Alan</creatorName>
      <givenName>Alan</givenName>
      <familyName>Le Moigne</familyName>
      <affiliation>Rolls-Royce plc</affiliation>
    </creator>
    <creator>
      <creatorName>Shahpar, Shahrokh</creatorName>
      <givenName>Shahrokh</givenName>
      <familyName>Shahpar</familyName>
      <affiliation>Rolls-Royce plc</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2020</publicationYear>
  <subjects>
    <subject>Hex mesh</subject>
    <subject>Medial Object</subject>
    <subject>Frame fields</subject>
    <subject>Cross fields</subject>
    <subject>Singularity</subject>
    <subject>Decomposition</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2020-02-06</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="ConferencePaper"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3653428</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.3653427</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://zenodo.org/communities/imr28</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;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.&lt;/p&gt;</description>
  </descriptions>
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