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A method for computing curved meshes via the linear elasticity analogy,application to fluid dynamics problems
Authors:R Abgrall  C Dobrzynski  A Froehly
Institution:1. Team Bacchus, INRIA, 33405 CEDEX Talence, France;2. IMB, Université de Bordeaux, 33405 CEDEX Talence, France;3. Institut für Mathematik, Universit?t Zürich, CH‐8057 Zürich, Switzerland
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. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:curved meshes generation  triangulation  high‐order schemes
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