February 6, 2020 Conference paper Open Access

Marcon, Julian; Kopriva, David A.; Sherwin, Spencer J.; Peiró, Joaquim

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  <identifier identifierType="DOI">10.5281/zenodo.3653409</identifier>
  <creators>
    <creator>
      <creatorName>Marcon, Julian</creatorName>
      <givenName>Julian</givenName>
      <familyName>Marcon</familyName>
      <affiliation>Imperial College London</affiliation>
    </creator>
    <creator>
      <creatorName>Kopriva, David A.</creatorName>
      <givenName>David A.</givenName>
      <familyName>Kopriva</familyName>
      <affiliation>The Florida State University</affiliation>
    </creator>
    <creator>
      <creatorName>Sherwin, Spencer J.</creatorName>
      <givenName>Spencer J.</givenName>
      <familyName>Sherwin</familyName>
      <affiliation>Imperial College London</affiliation>
    </creator>
    <creator>
      <creatorName>Peiró, Joaquim</creatorName>
      <givenName>Joaquim</givenName>
      <familyName>Peiró</familyName>
      <affiliation>Imperial College London</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2020</publicationYear>
  <subjects>
    <subject>cross field</subject>
    <subject>quadrilateral meshing</subject>
    <subject>high order</subject>
    <subject>spectral element method</subject>
    <subject>adaptation</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/3653409</alternateIdentifier>
  </alternateIdentifiers>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.3653408</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;We describe an adaptive version of a method for generating valid naturally curved quadrilateral meshes. The method uses a guiding field, derived from the concept of a cross field, to create block decompositions of multiply connected two dimensional domains. The a priori curved quadrilateral blocks can be further split into a finer high-order mesh as needed. The guiding field is computed by a Laplace equation solver using a continuous Galerkin or discontinuous Galerkin spectral element formulation. This operation is aided by using p-adaptation to achieve faster convergence of the solution with respect to the computational cost. From the guiding field, irregular nodes and separatrices can be accurately located. A first version of the code is implemented in the open source spectral element framework Nektar++ and its dedicated high order mesh generation platform NekMesh.&lt;/p&gt;</description>
  </descriptions>
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