An isoparametric approach to high-order curvilinear boundary-layer meshing
File(s)Isoparametric_Moxey.pdf (2.09 MB)
Published version
Author(s)
Moxey, D
Green, MD
Sherwin, SJ
Peiro, J
Type
Journal Article
Abstract
The generation of high-order curvilinear meshes for complex three-dimensional geometries is presently a challenging topic, particularly for meshes used in simulations at high Reynolds numbers where a thin boundary layer exists near walls and elements are highly stretched in the direction normal to flow. In this paper, we present a conceptually simple but very effective and modular method to address this issue. We propose an isoparametric approach, whereby a mesh containing a valid coarse discretization comprising of high-order triangular prisms near walls is refined to obtain a finer prismatic or tetrahedral boundary-layer mesh. The validity of the prismatic mesh provides a suitable mapping that allows one to obtain very fine mesh resolutions across the thickness of the boundary layer. We describe the method in detail for a high-order approximation using modal basis functions, discuss the requirements for the splitting method to produce valid prismatic and tetrahedral meshes and provide a sufficient criterion of validity in both cases. By considering two complex aeronautical configurations, we demonstrate how highly stretched meshes with sufficient resolution within the laminar sublayer can be generated to enable the simulation of flows with Reynolds numbers of and above.
Date Issued
2015-01-01
Date Acceptance
2014-09-14
Citation
Computer Methods in Applied Mechanics and Engineering, 2015, 283, pp.636-650
ISSN
0045-7825
Publisher
Elsevier
Start Page
636
End Page
650
Journal / Book Title
Computer Methods in Applied Mechanics and Engineering
Volume
283
Copyright Statement
Copyright © 2014 The Authors. Published by Elsevier B.V. This an open access article under a CCC BY licesne http://creativecommons.org/licenses/by/3.0/
License URL
Sponsor
Commission of the European Communities
Identifier
http://ac.els-cdn.com/S004578251400334X/1-s2.0-S004578251400334X-main.pdf?_tid=f9e979c8-da00-11e4-ab36-00000aacb35f&acdnat=1428066025_ce3b890704958375c75bb05e2597ca3e
Grant Number
ACPO-GA-2010-265780
Subjects
Science & Technology
Technology
Physical Sciences
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
Engineering
Mathematics
High-order mesh generation
Boundary-layer meshes
Isoparametric elements
GENERATION
MESHES
ELEMENTS
GRIDS
Publication Status
Published
Date Publish Online
2014-09-22