Curvilinear mesh generation for boundary layer problems

D. Moxey, M. Hazan, S. J. Sherwin, J. Peiró

IDIHOM: Industrialization of High-Order Methods-A Top-Down Approach, pp. 41–64 (2015)

@inbook{moxey-2015b,
  title = {Curvilinear mesh generation for boundary layer problems},
  author = {Moxey, D. and Hazan, M. and Sherwin, S. J. and Peir{\'o}, J.},
  booktitle = {IDIHOM: Industrialization of High-Order Methods-A Top-Down Approach},
  pages = {41--64},
  year = {2015},
  url = {https://davidmoxey.uk/assets/pubs/2015-idihom-meshing.pdf},
  doi = {10.1007/978-3-319-12886-3_3},
  publisher = {Springer},
  abstract = {In this article, we give an overview of a new technique for unstructured curvilinear boundary layer grid generation, which uses the isoparametric mappings that define elements in an existing coarse prismatic grid to produce a refined mesh capable of resolving arbitrarily thin boundary layers. We demonstrate that the technique always produces valid grids given an initially valid coarse mesh, and additionally show how this can be extended to convert hybrid meshes to meshes containing only simplicial elements.}
}

A short account of the isoparametric technique for unstructured curvilinear boundary-layer grids, which refines an existing coarse prismatic grid to resolve arbitrarily thin boundary layers. The technique always produces a valid grid given a valid coarse mesh, and can also convert hybrid meshes into ones containing only simplices.