A thermo-elastic analogy for high-order curvilinear meshing with control of mesh validity and quality

D. Moxey, D. Ekelschot, U. Keskin, S. J. Sherwin, J. Peiró

Procedia Engineering, vol. 82, pp. 127-135 (2014)

@inproceedings{moxey-2014a,
  title = {{A thermo-elastic analogy for high-order curvilinear meshing with control of mesh validity and quality}},
  author = {Moxey, D. and Ekelschot, D. and Keskin, U. and Sherwin, S. J. and Peir{\'o}, J.},
  booktitle = {Procedia Engineering},
  year = {2014},
  volume = {82},
  pages = {127-135},
  doi = {10.1016/j.proeng.2014.10.378},
  url = {https://davidmoxey.uk/assets/pubs/2014-elasticity.pdf},
  abstract = {In recent years, techniques for the generation of high-order curvilinear mesh have frequently adopted mesh deformation procedures to project the curvature of the surface onto the mesh, thereby introducing curvature into the interior of the domain and lessening the occurrence of self-intersecting elements. In this article, we propose an extension of this approach whereby thermal stress terms are incorporated into the state equation to provide control on the validity and quality of the mesh, thereby adding an extra degree of robustness which is lacking in current approaches.}
}

The conference version of our thermo-elastic approach to curvilinear meshing. Mesh deformation methods project the curvature of a surface into the interior of the domain so that fewer elements self-intersect; adding thermal stress terms to the state equation gives control over the validity and quality of the result.