A decade of progress on anisotropic mesh adaptation for computational fluid dynamics

F Alauzet, A Loseille - Computer-Aided Design, 2016 - Elsevier
In the context of scientific computing, the mesh is used as a discrete support for the
considered numerical methods. As a consequence, the mesh greatly impacts the efficiency …

Robust untangling of curvilinear meshes

T Toulorge, C Geuzaine, JF Remacle… - Journal of Computational …, 2013 - Elsevier
This paper presents a technique that allows to untangle high-order/curvilinear meshes. The
technique makes use of unconstrained optimization where element Jacobians are …

[HTML][HTML] The generation of 3D surface meshes for NURBS-enhanced FEM

X Zou, SB Lo, R Sevilla, O Hassan, K Morgan - Computer-Aided Design, 2024 - Elsevier
This work presents the first method for generating triangular surface meshes in three
dimensions for the NURBS-enhanced finite element method. The generated meshes may …

High-order unstructured curved mesh generation using the Winslow equations

M Fortunato, PO Persson - Journal of Computational Physics, 2016 - Elsevier
We propose a method to generate high-order unstructured curved meshes using the
classical Winslow equations. We start with an initial straight-sided mesh in a reference …

Optimization of a regularized distortion measure to generate curved high‐order unstructured tetrahedral meshes

A Gargallo‐Peiró, X Roca, J Peraire… - … Journal for Numerical …, 2015 - Wiley Online Library
We present a robust method for generating high‐order nodal tetrahedral curved meshes.
The approach consists of modifying an initial linear mesh by first, introducing high‐order …

[HTML][HTML] NekMesh: An open-source high-order mesh generation framework

MD Green, KS Kirilov, M Turner, J Marcon… - Computer Physics …, 2024 - Elsevier
High-order spectral element simulations are now becoming increasingly popular within the
computational modelling community, as they offer the potential to deliver increased accuracy …

[HTML][HTML] An isoparametric approach to high-order curvilinear boundary-layer meshing

D Moxey, MD Green, SJ Sherwin, J Peiró - Computer Methods in Applied …, 2015 - Elsevier
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 …

Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods

G Mengaldo, D Moxey, M Turner, RC Moura, A Jassim… - SIAM Review, 2021 - SIAM
We present a successful deployment of high-fidelity large-eddy simulation (LES)
technologies based on spectral/hp element methods to industrial flow problems, which are …

3d Bézier guarding: boundary-conforming curved tetrahedral meshing

P Khanteimouri, M Campen - ACM Transactions on Graphics (TOG), 2023 - dl.acm.org
We present a method for the generation of higher-order tetrahedral meshes. In contrast to
previous methods, the curved tetrahedral elements are guaranteed to be free of …

[HTML][HTML] Curvilinear mesh generation using a variational framework

M Turner, J Peiró, D Moxey - Computer-Aided Design, 2018 - Elsevier
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 …