An all-Mach method for the simulation of bubble dynamics problems in the presence of surface tension

Abstract : This paper presents a generalization of an all-Mach formulation for multi-phase flows accounting for surface tension and viscous forces. The proposed numerical method is based on the consistent advection of conservative quantities and the advection of the color function used in the Volume of Fluid method avoiding any numerical diffusion of mass, momentum and energy across the interface during the advection step. The influence of surface tension and liquid compressibility on the dynamic response of the bubbles is discussed by comparing the full 3D solution with the predictions provided by the Rayleigh–Plesset equation for two relevant problems related to the dynamic response of bubbles to pressure disturbances: The linear oscillation of a single bubble in an acoustic field and the Rayleigh collapse problem. Finally, the problem of the collapse of a bubble close to a wall is compared with experimental results showing the robustness of the method to simulate the collapse of air bubbles in liquids in problems where bubbles generate a high velocity liquid jet.
Type de document :
Article dans une revue
Journal of Computational Physics, Elsevier, In press
Liste complète des métadonnées

Littérature citée [20 références]  Voir  Masquer  Télécharger

https://hal.sorbonne-universite.fr/hal-01845218
Contributeur : Daniel Fuster <>
Soumis le : vendredi 20 juillet 2018 - 11:19:06
Dernière modification le : vendredi 31 août 2018 - 09:25:44
Document(s) archivé(s) le : dimanche 21 octobre 2018 - 17:30:11

Fichier

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

Identifiants

  • HAL Id : hal-01845218, version 1

Collections

Citation

Daniel Fuster, Stéphane Popinet. An all-Mach method for the simulation of bubble dynamics problems in the presence of surface tension. Journal of Computational Physics, Elsevier, In press. 〈hal-01845218〉

Partager

Métriques

Consultations de la notice

132

Téléchargements de fichiers

81