Tetrahedral Remeshing in the Context of Large-Scale Numerical Simulation and High Performance Computing - Archive ouverte HAL Access content directly
Journal Articles MathematicS In Action Year : 2022

Tetrahedral Remeshing in the Context of Large-Scale Numerical Simulation and High Performance Computing

Felipe Bordeu
Jean-Baptiste Chapelier
  • Function : Author
  • PersonId : 1113645
Guillaume Caumon
Charles Dapogny
Romain Laraufie
  • Function : Author
  • PersonId : 1113646
Capucine Legentil
  • Function : Author
Renaud Mercier
  • Function : Author
  • PersonId : 1110180
Chiara Nardoni
  • Function : Author
  • PersonId : 1120362
Mustapha Zakari

Abstract

The purpose of this article is to discuss several modern aspects of remeshing, which is the task of modifying an ill-shaped tetrahedral mesh with bad size elements so that it features an appropriate density of high-quality elements. After a brief sketch of classical stakes about meshes and local mesh operations, we notably expose (i) how the local size of the elements of a mesh can be adapted to a user-defined prescription (guided, e.g., by an error estimate attached to a numerical simulation), (ii) how a mesh can be deformed to efficiently track the motion of the underlying domain, (iii) how to construct a mesh of an implicitlydefined domain, and (iv) how remeshing procedures can be conducted in a parallel fashion when large-scale applications are targeted. These ideas are illustrated with several applications involving high-performance computing. In particular, we show how mesh adaptation and parallel remeshing strategies make it possible to achieve a high accuracy in large-scale simulations of complex flows, and how the aforementioned methods for meshing implicitly defined surfaces allow to represent faithfully intricate geophysical interfaces, and to account for the dramatic evolutions of shapes featured by shape optimization processes.
Fichier principal
Vignette du fichier
Tetrahedral_remeshing_for_large_scale_simulation_and_HPC_preprint.pdf (54.34 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03344779 , version 1 (15-09-2021)

Identifiers

Cite

Guillaume Balarac, Francesca Basile, Pierre Bénard, Felipe Bordeu, Jean-Baptiste Chapelier, et al.. Tetrahedral Remeshing in the Context of Large-Scale Numerical Simulation and High Performance Computing. MathematicS In Action, 2022, 11 (1), pp.129-164. ⟨10.5802/msia.22⟩. ⟨hal-03344779⟩
357 View
82 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More