Name
Abstract | ||
|---|---|---|
We describe a high order technique to generate quadrilateral decompositions and meshes for complex two dimensional domains using spectral elements in a field guided procedure. Inspired by cross field methods, we never actually compute crosses. Instead, we compute a high order accurate guiding field using a continuous Galerkin (CG) or discontinuous Galerkin (DG) spectral element method to solve a Laplace equation for each of the field variables using the open source code Nektar++. The spectral method provides spectral convergence and sub-element resolution of the fields. The DG approximation allows meshing of corners that are not multiples of π/2 in a discretization consistent manner, when needed. The high order field can then be exploited to accurately find irregular nodes, and can be accurately integrated using a high order separatrix integration method to avoid features like limit cycles. The result is a mesh with naturally curved quadrilateral elements that do not need to be curved a posteriori to eliminate invalid elements. The mesh generation procedure is implemented in the open source mesh generation program NekMesh. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jcp.2019.108918 | Journal of Computational Physics |
Keywords | Field | DocType |
Cross field,Quad meshing,High order,Spectral element method,Irregular node characterization | Discontinuous Galerkin method,Topology,Discretization,Polygon mesh,Mathematical analysis,Galerkin method,Spectral method,Quadrilateral,Mathematics,Mesh generation,Spectral element method | Journal |
Volume | ISSN | Citations |
399 | 0021-9991 | 0 |
PageRank | References | Authors |
0.34 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Julian Marcon | 1 | 1 | 1.11 |
| David A. Kopriva | 2 | 244 | 21.00 |
| Spencer J. Sherwin | 3 | 140 | 16.13 |
| Joaquim Peiró | 4 | 39 | 7.28 |