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
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.
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- Publication date:
- February 6, 2020
- DOI:
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- Keyword(s):
- cross field quadrilateral meshing high order spectral element method adaptation
- Meeting:
- 28th International Meshing Roundtable (IMR), Buffalo, New York, USA, October 14-17, 2019
- Communities:
- License (for files):
- Creative Commons Attribution 4.0 International