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A comparison of C0 and G1 continuous curved tetrahedral meshes for high-order finite element simulations

Zaide, Daniel W., Qiukai Lu, Mark S. Shephard

24th International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-14 2015

IMR
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24th International Meshing Roundtable
Austin, TX
October 12-14,2014

Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY, 12180-3590, USA
Email: dan.zaide@gmail.com

Abstract
This paper examines the effect of curved boundary continuity on finite element simulations. Quartic C0 continuous and G1 continuous meshes with curved boundaries are created from CAD geometry. These C0 continuous and G1 continuous surface triangles are constructed using Bezier triangles and triangular Gregory patches respectively. Curved tetrahedra are constructed using a shape blending with tetrahedral mapping. The curved meshes are solved on using a high-order finite element method. The effect of surface continuity on solution accuracy is quantified for a simple fluid problem in three dimensions.

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