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New techniques for enhanced medial axis based decompositions in 2-D

Fogg, Harold J. and Cecil G. Armstrong, Trevor T. Robinson

23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014

IMR
PROCEEDINGS

23rd International Meshing Roundtable
London, UK
October 12-15,2014

School of Mechanical and Aerospace Engineering, QueenĂ­s University Belfast, N. Ireland
Email: t.robinson@qub.ac.uk

Summary
New techniques are presented for using the medial axis to generate high quality decompositions for generating block-structured meshes with well-placed mesh singularities away from the surface boundaries. Established medial axis based meshing algorithms are highly e ective for some geometries, but in general, they do not produce the most favourable decompositions, particularly when there are geometry concavities. This new approach uses both the topological and geometric information in the medial axis to establish a valid and e ective arrangement of mesh singularities for any 2-D surface. It deals with concavities e ectively and finds solutions that are most appropriate to the geometric shapes. Methods for directly constructing the corresponding decompositions are also put forward.

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