Tetrahedral Remeshing in the Context of Large-Scale Numerical Simulation and High Performance Computing
CIRROTTOLA, Luca
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
FROEHLY, Algiane
Centre Inria de l'Université de Bordeaux
Direction générale déléguée à l'innovation [DGD-I]
< Leer menos
Centre Inria de l'Université de Bordeaux
Direction générale déléguée à l'innovation [DGD-I]
Idioma
en
Article de revue
Este ítem está publicado en
MathematicS In Action. 2022, vol. 11, n° 1, p. 129-164
Société de Mathématiques Appliquées et Industrielles (SMAI)
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
remeshing
implicit domain meshing
level-set discretization
topology optimization
mesh adaptation
h-adaptation
error estimator
metric
“lagrangian” mesh deformation
distributed memory parallel remeshing
hybrid RANS/LES
LES
geophysical inverse problem
Proyecto ANR
Optimisation de forme - ANR-18-CE40-0013
Orígen
Importado de HalCentros de investigación