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 …

Geometrical validity of curvilinear finite elements

A Johnen, JF Remacle, C Geuzaine - Journal of Computational Physics, 2013 - Elsevier
In this paper, we describe a way to compute accurate bounds on Jacobian determinants of
curvilinear polynomial finite elements. Our condition enables to guarantee that an element is …

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 …

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 …

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 …

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 …

Studied X-FEM enrichment to handle material interfaces with higher order finite element

K Dréau, N Chevaugeon, N Moës - Computer Methods in Applied …, 2010 - Elsevier
An approach to improve the geometrical representation of surfaces with the eXtended Finite
Element Method is proposed. Surfaces are implicitly represented using the level set method …

Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing

T Coupez, E Hachem - Computer methods in applied mechanics and …, 2013 - Elsevier
The objective of this paper is to show that anisotropic meshes with highly stretched elements
can be used to compute high Reynolds number flows. In particular, it will be shown that …

TriWild: robust triangulation with curve constraints

Y Hu, T Schneider, X Gao, Q Zhou… - ACM Transactions on …, 2019 - dl.acm.org
We propose a robust 2D meshing algorithm, TriWild, to generate curved triangles
reproducing smooth feature curves, leading to coarse meshes designed to match the …

Defining quality measures for high-order planar triangles and curved mesh generation

X Roca, A Gargallo-Peiró, J Sarrate - Proceedings of the 20th international …, 2012 - Springer
We present a technique to extend any Jacobian based quality measure for linear elements
to high-order isoparametric planar triangles of any interpolation degree. The extended …