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A method for computing curved meshes via the linear elasticity analogy


Abgrall, Rémi; Dobrzynski, Cécile; Froehly, A (2014). A method for computing curved meshes via the linear elasticity analogy. International Journal for Numerical Methods in Fluids, 76(4):246-266.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:10 October 2014
Deposited On:07 Oct 2014 08:35
Last Modified:26 Jan 2017 08:56
Publisher:Wiley-Blackwell Publishing, Inc.
ISSN:0271-2091
Publisher DOI:https://doi.org/10.1002/fld.3932

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