On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements
Recently, a new mesh generation technique based on the isoparametric representation of curvilinear elements has been developed in order to address the issue of generating high-order meshes with highly stretched elements. Given a valid coarse mesh comprising of a prismatic boundary layer, this technique uses the shape functions that define the geometries of the elements to produce a series of subdivided elements of arbitrary height. The purpose of this article is to investigate the range of conditions under which the resulting meshes are valid, and additionally to consider the application of this method to different element types. We consider the subdivision strategies that can be achieved with this technique and apply it to the generation of meshes suitable for boundary-layer fluid problems.
KeywordsSubdivision Strategy Quadrilateral Element Polynomial Space Prismatic Element Diagonal Edge
This work was partly supported by EU Grant No. 265780 as part of the EU FP7 project “IDIHOM: Industrialisation of High-Order Methods – A Top-Down Approach.” Spencer J. Sherwin additionally acknowledges Royal Academy of Engineering support under their research chair scheme and support under the EPSRC Laminar Flow Control Centre (EP/H050507/1).
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