Isogeometric FEM-BEM simulations of drop, capsule and vesicle dynamics in Stokes flow

Abstract : We develop an algorithm for the three dimensional simulation of the dynamics of soft objects (drops, capsules, vesicles) under creeping flow conditions. Loop elements are used to describe the shape of the soft objects. This surface representation is used both for membrane solver based on finite element method (FEM) and for the fluid solver based on the boundary element method (BEM). This isogeometric analysis of the low Reynolds fluid-structure interaction problem is then coupled to high-order explicit time stepping or second-order implicit time stepping algorithm. For vesicles simulation, a preconditioner is designed for the resolution of the surface velocity incompressibility constraint, which is treated by the use of a local Lagrange multiplier. A mesh quality preserving algorithm is introduced to improve the control mesh quality over long simulation times. We test the proposed algorithm on capsule and vesicle dynamics in various flows, and study its convergence properties, showing a second-order convergence O(N-2) with mesh number of elements.
Type de document :
Article dans une revue
Journal of Computational Physics, Elsevier, 2017, 342, pp.117 - 138. 〈10.1016/j.jcp.2017.04.024〉
Liste complète des métadonnées

Littérature citée [58 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01590257
Contributeur : Elena Rosu <>
Soumis le : jeudi 3 mai 2018 - 14:43:33
Dernière modification le : mardi 22 mai 2018 - 13:59:57
Document(s) archivé(s) le : mardi 25 septembre 2018 - 12:57:43

Fichier

BoedecLeonettiJaegerJCPRevised...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Gwenn Boedec, Marc Leonetti, Marc Jaeger. Isogeometric FEM-BEM simulations of drop, capsule and vesicle dynamics in Stokes flow. Journal of Computational Physics, Elsevier, 2017, 342, pp.117 - 138. 〈10.1016/j.jcp.2017.04.024〉. 〈hal-01590257〉

Partager

Métriques

Consultations de la notice

111

Téléchargements de fichiers

80