Show simple item record

dc.contributor.authorKamran, Kamran
dc.contributor.authorRossi, Riccardo
dc.contributor.authorOñate Ibáñez de Navarra, Eugenio
dc.contributor.authorIdelsohn Barg, Sergio Rodolfo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationKamran, K., Rossi, R., Oñate, E., Idelsohn, S. R. A compressible Lagrangian framework for the simulation of the underwater implosion of large air bubbles. "Computer methods in applied mechanics and engineering", Març 2013, vol. 255, p. 210-225.
dc.description.abstractA fully Lagrangian compressible numerical framework for the simulation of underwater implosion of a large air bubble is presented. Both air and water are considered compressible and the equations for the Lagrangian shock hydrodynamics are stabilized via a variationally consistent multiscale method. A nodally perfect matched definition of the interface is used and then the kinetic variables, pressure and density, are duplicated at the interface level. An adaptive mesh generation procedure, which respects the interface connectivities, is applied to provide enough refinement at the interface level. This framework is verified by several benchmarks which evaluate the behavior of the numerical scheme for severe compression and expansion cases. This model is then used to simulate the underwater implosion of a large cylindrical bubble, with a size in the order of cm. We observe that the conditions within the bubble are nearly uniform until the converging pressure wave is strong enough to create very large pressures near the center of the bubble. These bubble dynamics occur on very small spatial (0.3 mm), and time (0.1 ms) scales. During the final stage of the collapse Rayleigh–Taylor instabilities appear at the interface and then disappear when the rebounce starts. At the end of the rebounce phase the bubble radius reaches 50% of its initial value and the bubble recover its circular shape. It is when the second collapse starts, with higher mode shape instabilities excited at the bubble interface, that leads to the rupture of the bubble. Several graphs are presented and the pressure pulse detected in the water is compared by experiment.
dc.format.extent16 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshLagrangian functions
dc.subject.otherBubble implosion
dc.subject.otherLagrangian shock hydrodynamics
dc.subject.otherTwo phase flow
dc.subject.otherVariational multiscale stabilization
dc.titleA compressible Lagrangian framework for the simulation of the underwater implosion of large air bubbles
dc.subject.lemacEquacions de Lagrange
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.contributor.groupUniversitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/246643/EU/Real Time Computational Mechanics Techniques for Multi-Fluid Problems/REALTIME
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/267521/EU/New Computational Methods for Predicting the Safety of Constructions to Water Hazards accounting for Fluid-Soil-Structure Interactions/SAFECON
upcommons.citation.authorKamran, K., Rossi, R., Oñate, E., Idelsohn, Sergio R.
upcommons.citation.publicationNameComputer methods in applied mechanics and engineering

Files in this item


This item appears in the following Collection(s)

Show simple item record

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder