A Thermo-elastic Analogy for High-order Curvilinear Meshing with Control of Mesh Validity and Quality
(c) 2014 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license.
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.
This is the final version of the article. Available from Elsevier via the DOI in this record.
Vol. 82, pp. 127 - 135