Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach

We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw equations in the sharp-interface limit, and compute th...

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Detalles Bibliográficos
Autores: Folch Manzanares, Roger, Casademunt i Viader, Jaume, Hernández Machado, Aurora, Ramírez Piscina, Laureano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1999
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18762
Acceso en línea:https://hdl.handle.net/2445/18762
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
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spelling Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approachFolch Manzanares, RogerCasademunt i Viader, JaumeHernández Machado, AuroraRamírez Piscina, LaureanoFísica estadísticaTermodinàmicaSistemes dinàmics diferenciablesDinàmica de fluidsStatistical physicsThermodynamicsDifferentiable dynamical systemsFluid dynamicsWe present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw equations in the sharp-interface limit, and compute the corrections to these equations to first order in the interface thickness. We also compute the effect of such corrections on the linear dispersion relation of the planar interface. We discuss in detail the conditions on the interface thickness to control the accuracy and convergence of the phase-field model to the limiting Hele-Shaw dynamics. In particular, the convergence appears to be slower for high viscosity contrasts.The American Physical Society1999info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/18762Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.60.1724Physical Review E, 1999, vol. E60, p. 1734-1740http://dx.doi.org/10.1103/PhysRevE.60.1724(c) The American Physical Society, 1999info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/187622026-05-27T06:46:51Z
dc.title.none.fl_str_mv Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
title Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
spellingShingle Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
Folch Manzanares, Roger
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
title_short Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
title_full Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
title_fullStr Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
title_full_unstemmed Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
title_sort Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
dc.creator.none.fl_str_mv Folch Manzanares, Roger
Casademunt i Viader, Jaume
Hernández Machado, Aurora
Ramírez Piscina, Laureano
author Folch Manzanares, Roger
author_facet Folch Manzanares, Roger
Casademunt i Viader, Jaume
Hernández Machado, Aurora
Ramírez Piscina, Laureano
author_role author
author2 Casademunt i Viader, Jaume
Hernández Machado, Aurora
Ramírez Piscina, Laureano
author2_role author
author
author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
topic Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
description We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw equations in the sharp-interface limit, and compute the corrections to these equations to first order in the interface thickness. We also compute the effect of such corrections on the linear dispersion relation of the planar interface. We discuss in detail the conditions on the interface thickness to control the accuracy and convergence of the phase-field model to the limiting Hele-Shaw dynamics. In particular, the convergence appears to be slower for high viscosity contrasts.
publishDate 1999
dc.date.none.fl_str_mv 1999
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18762
url https://hdl.handle.net/2445/18762
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.60.1724
Physical Review E, 1999, vol. E60, p. 1734-1740
http://dx.doi.org/10.1103/PhysRevE.60.1724
dc.rights.none.fl_str_mv (c) The American Physical Society, 1999
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 1999
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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