An efficient and parallel level set reinitialization method - Application to micromechanics and microstructural evolutions

Abstract : The paper introduces a new parallel and efficient algorithm for the reinitialization of level set functions on unstructured finite element (FE) meshes in two and three dimensions. The originality of this implementation lies in the use of a direct method enhanced by a k-d tree space partitioning technique. Different test cases illustrate the potential of the method for typical metallurgical and micromechanical problems with isotropic and anisotropic meshes. Comparison with other classical reinitialization methods, such as Hamilton–Jacobi formulations, proves that the proposed method guarantees optimal accuracy together with importantly reduced computational costs.
Type de document :
Article dans une revue
Liste complète des métadonnées

Littérature citée [20 références]  Voir  Masquer  Télécharger

https://hal-mines-paristech.archives-ouvertes.fr/hal-01139858
Contributeur : Magalie Prudon <>
Soumis le : lundi 29 avril 2019 - 14:50:14
Dernière modification le : vendredi 10 mai 2019 - 16:10:47

Fichier

Manuscript.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Modesar Shakoor, Benjamin Scholtes, Pierre-Olivier Bouchard, Marc Bernacki. An efficient and parallel level set reinitialization method - Application to micromechanics and microstructural evolutions. Applied Mathematical Modelling, Elsevier, 2015, 39 (23-24), pp.7291-7302. ⟨10.1016/j.apm.2015.03.014⟩. ⟨hal-01139858⟩

Partager

Métriques

Consultations de la notice

333

Téléchargements de fichiers

57