Curvilinear mesh generation using a variational framework

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Title: Curvilinear mesh generation using a variational framework
Authors: Turner, M
Peiro, J
Moxey, D
Item Type: Journal Article
Abstract: We aim to tackle the challenge of generating unstructured high-order meshes of complex three-dimensional bodies, which remains a significant bottleneck in the wider adoption of high-order methods. In particular we show that by adopting a variational approach to the generation process, many of the current popular high-order generation methods can be encompassed under a single unifying framework. This allows us to compare the effectiveness of these methods and to assess the quality of the meshes they produce in a systematic fashion. We present a detailed overview of the theory and formulation of the variational framework, and we highlight how such formulation can be effectively exploited to yield a highly-efficient parallel implementation. The effectiveness of this approach is examined by considering a number of two- and three-dimensional examples, where we show how the proposed approach can be used for both mesh quality optimisation and untangling of invalid high-order meshes.
Issue Date: 1-Oct-2018
Date of Acceptance: 13-Oct-2017
ISSN: 0010-4485
Publisher: Elsevier
Start Page: 73
End Page: 91
Journal / Book Title: Computer-Aided Design
Volume: 103
Copyright Statement: © 2017 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L000407/1
Keywords: 0913 Mechanical Engineering
1203 Design Practice And Management
Design Practice & Management
Publication Status: Published
Online Publication Date: 2017-11-14
Appears in Collections:Faculty of Engineering

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