February 6, 2020 Conference paper Open Access

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

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{
  "inLanguage": {
    "alternateName": "eng", 
    "@type": "Language", 
    "name": "English"
  }, 
  "description": "<p>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.</p>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Imperial College London", 
      "@type": "Person", 
      "name": "Marcon, Julian"
    }, 
    {
      "affiliation": "The Florida State University", 
      "@type": "Person", 
      "name": "Kopriva, David A."
    }, 
    {
      "affiliation": "Imperial College London", 
      "@type": "Person", 
      "name": "Sherwin, Spencer J."
    }, 
    {
      "affiliation": "Imperial College London", 
      "@type": "Person", 
      "name": "Peir\u00f3, Joaquim"
    }
  ], 
  "headline": "Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2020-02-06", 
  "url": "https://zenodo.org/record/3653409", 
  "@type": "ScholarlyArticle", 
  "keywords": [
    "cross field", 
    "quadrilateral meshing", 
    "high order", 
    "spectral element method", 
    "adaptation"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.3653409", 
  "@id": "https://doi.org/10.5281/zenodo.3653409", 
  "workFeatured": {
    "url": "http://imr.sandia.gov", 
    "alternateName": "IMR", 
    "location": "Buffalo, New York, USA", 
    "@type": "Event", 
    "name": "28th International Meshing Roundtable"
  }, 
  "name": "Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver"
}