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Mesh Improvement Methodology for 3D Volumes with non-Planar Surfaces

Kelly, Alan, Lukasz Kaczmarczyk, and Chris Pearce

21st International Meshing Roundtable, Springer-Verlag, pp.55-69, October 7-10 2012


21st International Meshing Roundtable
San Jose, CA
October 7-10, 2012

University of Glasgow, Glasgow, Scotland

A mesh improvement methodology is presented which aims to improve the quality of the worst elements in 3D mesh with non-planar surfaces which cannot be improved using traditional methods. A numerical optimisation algorithm which specifically targets the worst elements in the mesh but is a smooth functions of nodal positions is introduced. A method of moving nodes on curved surfaces whilst maintaining the domain geometry and preserving mesh volume is proposed and implemented and is shown to be very effective at improving mesh which traditional mesh improvers cannot improve.

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