Anisotropic Adaptive Simulations in Aerodynamics

Loseille, Adrien; Löhner, Rainald

doi:10.2514/6.2010-169

Cited by 67 publications

(53 citation statements)

References 22 publications

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“…The node insertion is based on the extension of the Delaunay kernel to the metric-based anisotropic context. This strategy is very efficient to generate high-quality adapted meshes with a very high level of anisotropy O(1 : 10 6 ) [33].…”

Section: Algorithm 2 Mesh Adaptation Loop For Unsteady Flowsmentioning

confidence: 99%

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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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Section: Algorithm 2 Mesh Adaptation Loop For Unsteady Flowsmentioning

confidence: 99%

“…Local remesher The generation of the adapted anisotropic meshes is done using a metricbased adaptive local remeshing strategy [33] where the surface mesh is adapted conjointly with the volume mesh using local mesh modifications. One main advantage of this method is to be extremely robust.…”

Section: Algorithm 2 Mesh Adaptation Loop For Unsteady Flowsmentioning

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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“…Generating an anisotropic unit mesh H with respect to M requires to use any anisotropic mesh generator [16][17][18][19][20][21]. The results presented in this paper were achieved using our in-house remesher [22].…”

Section: Generate Meshmentioning

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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“…We give in the section some details on the algorithm and the mechanisms used in feflo [12] to refine the mesh according to the previous error estimate. The mesh generator fits the Riemannian metric framework of [4].…”

Section: Anisotropic Mesh Generationmentioning

confidence: 99%