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AQuadratic High-order Method for Triangular Mesh Generation Inspired by LBWARP

Stees, Mike, Suzanne Shontz

Research Note, 25th International Meshing Roundtable, Sandia National Laboratories, September 26-30 2016


25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Mike Stees, University of Kansas, US,
Suzanne Shontz, University of Kansas, US,

Research Note Abstract
The ability to construct high-order meshes that conform to the boundary of curved geometries is a limiting factor in the adoption of high-order computational methods for solving partial differential equations. In this work, we propose a method for generating curved meshes of second degree. The approach consists of modifying an initial linear mesh by first, inserting nodes at the midpoint of each line segment, second, displacing the midpoints that fall along the boundary to ensure that they are on the prescribed boundary, and third, solving for the final positions of the internal nodes based on the boundary deformation. We present two numerical examples which demonstrate the viability of our method. We also discuss the quality of the elements generated in the examples.

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