A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems. (12th July 2014)

• Record Type: Journal Article
• Authors: Abgrall, R.; Dobrzynski, C.; Froehly, A.
• Is Part Of: International journal for numerical methods in fluids. Volume 76:Number 4(2014:Oct.)
• Page Start: 246
• Page End: 266
• Publication Date: 2014-07-12
• Subjects: Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.3932
• Languages: English
• ISSNs: 0271-2091

Abstract

<abstract abstract-type="main" id="fld3932-abs-0001"> <title>SUMMARY</title> <p id="fld3932-para-0001">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 &amp; Sons, Ltd.</p> </abstract>