Conference paper Open Access

Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver

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

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<oai_dc:dc xmlns:dc="" xmlns:oai_dc="" xmlns:xsi="" xsi:schemaLocation="">
  <dc:creator>Marcon, Julian</dc:creator>
  <dc:creator>Kopriva, David A.</dc:creator>
  <dc:creator>Sherwin, Spencer J.</dc:creator>
  <dc:creator>Peiró, Joaquim</dc:creator>
  <dc:description>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.</dc:description>
  <dc:subject>cross field</dc:subject>
  <dc:subject>quadrilateral meshing</dc:subject>
  <dc:subject>high order</dc:subject>
  <dc:subject>spectral element method</dc:subject>
  <dc:title>Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver</dc:title>
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