A compressible two-fluid model for the finite volume simulation of violent aerated flows. Analytical properties and numerical results

Abstract : In the study of ocean wave impact on structures, one often uses Froude scaling since the dominant force is gravity. However the presence of trapped or entrained air in the water can significantly modify wave impacts. When air is entrained in water in the form of small bubbles, the acoustic properties in the water change dramatically and for example the speed of sound in the mixture is much smaller than in pure water, and even smaller than in pure air. While some work has been done to study small-amplitude disturbances in such mixtures, little work has been done on large disturbances in air-water mixtures. We propose a basic two-fluid model in which both fluids share the same velocities. It is shown that this model can successfully mimic water wave impacts on coastal structures. Even though this is a model without interface, waves can occur. Their dispersion relation is discussed and the formal limit of pure phases (interfacial waves) is considered. The governing equations are discretized by a second-order finite volume method. Numerical results are presented. It is shown that this basic model can be used to study violent aerated flows, especially by providing fast qualitative estimates.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00279671
Contributeur : Denys Dutykh <>
Soumis le : jeudi 22 octobre 2009 - 20:15:23
Dernière modification le : jeudi 9 février 2017 - 15:29:05
Document(s) archivé(s) le : jeudi 23 septembre 2010 - 17:32:05

Fichiers

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

Identifiants

  • HAL Id : hal-00279671, version 3
  • ARXIV : 0805.2457

Collections

Citation

Frédéric Dias, Denys Dutykh, Jean-Michel Ghidaglia. A compressible two-fluid model for the finite volume simulation of violent aerated flows. Analytical properties and numerical results. 38 pages, 22 figures; CMLA research report; Other authors papers and animations related to this w.. 2009. <hal-00279671v3>

Partager

Métriques

Consultations de
la notice

246

Téléchargements du document

134