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A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems
Author(s) -
Abgrall R.,
Dobrzynski C.,
Froehly A.
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3932
Subject(s) - polygon mesh , simplex , airfoil , elasticity (physics) , analogy , linear elasticity , volume mesh , mathematics , mesh generation , computer science , boundary (topology) , boundary layer , algorithm , mathematical optimization , geometry , finite element method , mathematical analysis , engineering , structural engineering , physics , mechanics , linguistics , philosophy , thermodynamics
SUMMARY We propose and analyze an algorithm for the robust construction of curved meshes in two and three dimensions. The meshes are made of curved simplexes. The algorithm starts from a mesh made of straight simplexes, and using a linear elasticity analogy applied on well‐chosen data, one can generate a curved mesh. Note that if the initial mesh has a boundary layer, this method allows to conserve it on the final mesh. This algorithm is used on several airfoils in two and three dimensions, including a turbulent M6 wing. Copyright © 2014 John Wiley & Sons, Ltd.