Anisotropic Delaunay Mesh Adaptation for Unsteady Simulations

Dobrzynski, Cécile; Frey, Pascal

doi:10.1007/978-3-540-87921-3_11

Cited by 121 publications

(127 citation statements)

References 30 publications

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“…Lengths, in the anisotropic case, are measured in the Riemanian metric provided by the metric field. The efficiency of the method has been demonstrated in various contexts [20,17].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Delaunay Mesh Generation

Boissonnat¹,

Wormser²,

Yvinec³

2015

SIAM J. Comput.

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Anisotropic meshes are triangulations of a given domain in the plane or in higher dimensions, with elements elongated along prescribed directions. Anisotropic triangulations are known to be well suited for interpolation of functions or solving PDEs. Assuming that the anisotropic shape requirements for mesh elements are given through a metric field varying over the domain, we propose a new approach to anisotropic mesh generation, relying on the notion of anisotropic Delaunay meshes. An anisotropic Delaunay mesh is defined as a mesh in which the star of each vertex v consists of simplices that are Delaunay for the metric associated to vertex v. This definition works in any dimension and allows to define a simple refinement algorithm. The algorithm takes as input a domain and a metric field and provides, after completion, an anisotropic mesh whose elements are shaped according to the metric field.

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“…Lengths, in the anisotropic case, are measured in the Riemanian metric provided by the metric field. The efficiency of the method has been demonstrated in various contexts [20,17].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Delaunay Mesh Generation

Boissonnat¹,

Wormser²,

Yvinec³

2015

SIAM J. Comput.

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“…There are many tetrahedral mesh adaptation methods (Alauzet, 2014, Barral et al, 2014, Chen et al, 2015, Compère et al, 2010, Dobrzynski and Frey, 2008 for conformal mesh generation of moving objects and space. It is known that linear elasticity-based mesh adaptation methods are more robust and can produce higher quality meshes than Laplacian-based methods and spring analogy methods.…”

Section: Related Workmentioning

confidence: 99%

“…In linear elasticity mesh adaptation methods, the movement of space mesh vertices is obtained by solving an elasticity-like equation. Dobrzynski and Frey (2008) proposed a linear elasticity-based mesh adaptation method with a quality improvement. In the quality improvement, edge length is controlled by Delaunay vertex insertion and edge collapse while keeping element shape qualities by edge flip and vertex repositioning.…”

Section: Related Workmentioning

confidence: 99%

Efficient conformal tetrahedral finite element mesh generation for moving objects with contact by mesh adaptation

Maehama¹,

Date²,

Kanai³

2017

JAMDSM

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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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Anisotropic Delaunay Mesh Adaptation for Unsteady Simulations

Cited by 121 publications

References 30 publications

Anisotropic Delaunay Mesh Generation

Anisotropic Delaunay Mesh Generation

Efficient conformal tetrahedral finite element mesh generation for moving objects with contact by mesh adaptation

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

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