February 6, 2020 Conference paper Open Access

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

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{
  "publisher": "Zenodo", 
  "DOI": "10.5281/zenodo.3653409", 
  "language": "eng", 
  "title": "Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver", 
  "issued": {
    "date-parts": [
      [
        2020, 
        2, 
        6
      ]
    ]
  }, 
  "abstract": "<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>", 
  "author": [
    {
      "family": "Marcon, Julian"
    }, 
    {
      "family": "Kopriva, David A."
    }, 
    {
      "family": "Sherwin, Spencer J."
    }, 
    {
      "family": "Peir\u00f3, Joaquim"
    }
  ], 
  "id": "3653409", 
  "event-place": "Buffalo, New York, USA", 
  "type": "paper-conference", 
  "event": "28th International Meshing Roundtable (IMR)"
}