February 6, 2020 Conference paper Open Access

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

DCAT Export

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        <foaf:name>Kopriva, David A.</foaf:name>
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        <foaf:name>Sherwin, Spencer J.</foaf:name>
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        <foaf:name>Peiró, Joaquim</foaf:name>
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    <dct:title>Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver</dct:title>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#gYear">2020</dct:issued>
    <dcat:keyword>cross field</dcat:keyword>
    <dcat:keyword>quadrilateral meshing</dcat:keyword>
    <dcat:keyword>high order</dcat:keyword>
    <dcat:keyword>spectral element method</dcat:keyword>
    <dcat:keyword>adaptation</dcat:keyword>
    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2020-02-06</dct:issued>
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    <dct:description>&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;</dct:description>
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