3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric

Gruau, Cyril; Coupez, Thierry

doi:10.1016/j.cma.2004.11.020

Cited by 121 publications

(94 citation statements)

References 17 publications

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“…In the first case, the mesh follows the motion of the fluid by contracting the nodes at the interfaces, regaining its original size once the interface passed. Another option is to adapt the mesh anisotropically (hadaptation) using a metric field of the form: M =m 2 A + £ 2 I, where A = Va®Va, and s the default size [4]. We can control the number of element layers through parameters m and s. Figure 3 illustrates the mesh obtained using this kind of approach, in a Water Assisted Injection molding example.…”

Section: Mesh Adaptation Techniquesmentioning

confidence: 99%

Two-Phase Model of Liquid-Liquid Interactions With Interface Capturing: Application to Water Assisted Injection Molding

Silva¹,

Lanrivain²,

Zerguine³

et al. 2007

AIP Conference Proceedings

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Abstract. In this paper, a two phase model to compute liquid-liquid flows is presented. We consider that one phase is a highly viscous thermodependent liquid (polymer phase), whereas the second one is a low viscosity low temperature fluid (water). The first part of this paper concerns capture of the interface between the water and the polymer (or determination of the phase field function). Classical VOF and Level set techniques have been implemented and were ameliorated using mesh adaptation techniques. To accurately determine the velocity field, a two-phase formulation is considered, based in the theory of mixtures, and we introduce a scalar parameter, the phase fraction quantifying the presence of each phase in each point of the computational domain. A friction type coupling between both phases is retained. Using the mixed finite element method within an eulerian framework, we calculate in a single system the whole kinematic variables for both liquids (velocity and pressure of each phase). Results are shown, for 2D and 3D parts.

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Section: Mesh Adaptation Techniquesmentioning

confidence: 99%

Two-Phase Model of Liquid-Liquid Interactions With Interface Capturing: Application to Water Assisted Injection Molding

Silva¹,

Lanrivain²,

Zerguine³

et al. 2007

AIP Conference Proceedings

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“…Mesh adaptation provides a way to control the accuracy of the numerical solution by modifying the domain discretization according to size and directional constraints. It is well known that mesh adaptation captures accurately physical phenomena in the computational domain while reducing significantly the CPU time, see [5,24,25,26,27,28,29].…”

Section: Application To Mesh Adaptationmentioning

confidence: 99%

A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes

Alauzet

2016

Computer Methods in Applied Mechanics and Engineering

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This document presents an interpolation operator on unstructured tetrahedral meshes that satisfies the properties of mass conservation, P 1 -exactness (order 2) and maximum principle. Interpolation operators are important for many applications in scientific computing. For instance, in the context of anisotropic mesh adaptation for time-dependent problems, the interpolation stage becomes crucial as the error due to solution transfer accumulates throughout the simulation. This error can eventually spoil the overall solution accuracy. When dealing with conservation laws in CFD, solution accuracy requires enforcement of mass preservation throughout the computation, in particular in long time scale computations. In the proposed approach, the conservation property is achieved by local mesh intersection and quadrature formulae. Derivatives reconstruction is used to obtain a second order method. Algorithmically, our goal is to design a method which is robust and efficient. The robustness is mandatory to obtain a reliable method on real-life applications and to apply the operator to highly anisotropic meshes. The efficiency is achieved by designing a matrix-free operator which is highly parallel. A multi-thread parallelization is given in this work. Several numerical examples are presented to illustrate the efficiency of the proposed approach.Key-words: Solution interpolation, matrix-free conservative interpolation, parallel interpolation, unstructured mesh, mesh adaptation, conservation laws * INRIA, Équipe-projet Gamma3, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. email: frederic.alauzet@inria.fr A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes Résumé : Ce document présente un opérateur d'interpolation sur des maillages tétraé-driques non-structurés qui satisfait les propriétés de conservation de la masse, P 1 -exactitude (ordre 2) et principe du maximum.Mots-clés : Interpolation de solution, interpolation conservative sans matrice, interpolation parallèle, maillage non-structuré, adaptation de maillage, adaptation de maillage, loi de conservation A parallel matrix-free conservative solution interpolation on tetrahedral meshes 3

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“…For instance, unstructured Hessian-based mesh adaptation has already proved its efficiency to improve the solution accuracy while decreasing the problem complexity (i.e. the number of degrees of freedom) [6][7][8][9].…”

Section: Numerical Modelmentioning

confidence: 99%

3D Parallel Anisotropic Unsteady Mesh Adaptation for the High-Fidelity Prediction of Bubble Motion

Menier

2015

ESAIM: Proc.

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Abstract. Anisotropic unsteady mesh adaptation is applied to the high-fidelity prediction of bubble motion, which has applications in the framework of safety evaluations for nuclear reactors. A prescribed advection of the bubble is performed, which lacks any physical sense but is representative of the reality and makes it possible to precisely measure the diffusion caused by the numerical model. The model is described, and results are presented in 2D and 3D, with comparisons in terms of mesh convergence, CPU time, and propagation of the interface.Résumé. L'adaptation de maillage instationnaire anisotropique est appliquéeà la prédiction hautefidélité de la propagation de l'interface d'une bulle, dont les applications existent notamment dans le cadre desévaluations de sureté des réacteurs nucléaires. Une advection de la bulle est prescrite, qui n'est pas physique mais représente bien la réalité tout en permettant une mesure précise de la diffusion causée par le modéle numérique. Ce dernier est décrit et des résultats sont présentés en 2D et 3D avec comparaisons des convergences en maillage, des temps CPU et de la propagation de l'interface de la bulle.

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3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric

Cited by 121 publications

References 17 publications

Two-Phase Model of Liquid-Liquid Interactions With Interface Capturing: Application to Water Assisted Injection Molding

Two-Phase Model of Liquid-Liquid Interactions With Interface Capturing: Application to Water Assisted Injection Molding

A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes

3D Parallel Anisotropic Unsteady Mesh Adaptation for the High-Fidelity Prediction of Bubble Motion

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