February 6, 2020 Conference paper Open Access

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

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    <subfield code="d">October 14-17, 2019</subfield>
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    <subfield code="a">Naturally Curved Quadrilateral Mesh Generation Using an Adaptive Spectral Element Solver</subfield>
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    <subfield code="a">&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;</subfield>
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