Paper Info
Title
High-order curvilinear meshing using a thermo-elastic analogy
Abstract
With high-order methods becoming increasingly popular in both academia and industry, generating curvilinear meshes that align with the boundaries of complex geometries continues to present a significant challenge. Whereas traditional low-order methods use planar-faced elements, high-order methods introduce curvature into elements that may, if added naively, cause the element to self-intersect. Over the last few years, several curvilinear mesh generation techniques have been designed to tackle this issue, utilizing mesh deformation to move the interior nodes of the mesh in order to accommodate curvature at the boundary. Many of these are based on elastic models, where the mesh is treated as a solid body and deformed according to a linear or non-linear stress tensor. However, such methods typically have no explicit control over the validity of the elements in the resulting mesh. In this article, we present an extension of this elastic formulation, whereby a thermal stress term is introduced to ‘heat’ or ‘cool’ elements as they deform. We outline a proof-of-concept implementation and show that the adoption of a thermo-elastic analogy leads to an additional degree of robustness, by considering examples in both two and three dimensions.
Year
DOI
Venue
2016
10.1016/j.cad.2015.09.007
Computer-Aided Design
Keywords
Field
DocType
High-order curvilinear mesh generation,Elastic mesh deformation,Pseudo-thermal stresses,Mesh validity,Mesh quality control
Mathematical optimization,Curvature,Polygon mesh,Tensor,Mathematical analysis,Curvilinear coordinates,Deformation (mechanics),Linear elasticity,Geometry,Cauchy stress tensor,Mathematics,Mesh generation
Journal
Volume
Issue
ISSN
72
C
0010-4485
Citations 
PageRank 
References 
4
0.46
6
Authors
5
Name
Order
Citations
PageRank
David Moxey1848.30
D. Ekelschot240.46
Ü. Keskin340.46
Spencer J. Sherwin414016.13
Joaquim Peiró5397.28