Numerical solution of phase field models for two-phase flows

Phase-field models describe the motion of multiphase flows using smooth interfaces across which the composition changes continuously. The phase-field variable represents a measure of phase as it quantifies relative differences or fractions of the fluid s components. The Cahn-Hilliard equation was or...

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Detalhes bibliográficos
Autor: Petchamé Guerrero, Jordi
Formato: tesis de maestría
Fecha de publicación:2022
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/371995
Acesso em linha:https://hdl.handle.net/2117/371995
Access Level:acceso abierto
Palavra-chave:Differential equations, Partial
Phase-field models
Cahn-Hilliard equation
Two-phase flows
Equacions en derivades parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
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spelling Numerical solution of phase field models for two-phase flowsPetchamé Guerrero, JordiDifferential equations, PartialPhase-field modelsCahn-Hilliard equationTwo-phase flowsEquacions en derivades parcialsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of applicationÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcialsPhase-field models describe the motion of multiphase flows using smooth interfaces across which the composition changes continuously. The phase-field variable represents a measure of phase as it quantifies relative differences or fractions of the fluid s components. The Cahn-Hilliard equation was originally proposed to model spinodal decomposition and coarsening in binary alloys. To this day, it has become broad ranged in its applicability. This thesis focuses on solving the Cahn-Hilliard equation numerically. A review of the mathematical modelling is made in order to develop numerical methods. Different numerical simulations in two dimensions are implemented to study the numerical and physical properties. Two realistic physical examples are also numerically solved.Universitat Politècnica de CatalunyaSala Lardies, EstherFernández Méndez, Sonia20222022-07-0120222022-08-30master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2117/371995reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3719952026-05-27T15:37:01Z
dc.title.none.fl_str_mv Numerical solution of phase field models for two-phase flows
title Numerical solution of phase field models for two-phase flows
spellingShingle Numerical solution of phase field models for two-phase flows
Petchamé Guerrero, Jordi
Differential equations, Partial
Phase-field models
Cahn-Hilliard equation
Two-phase flows
Equacions en derivades parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
title_short Numerical solution of phase field models for two-phase flows
title_full Numerical solution of phase field models for two-phase flows
title_fullStr Numerical solution of phase field models for two-phase flows
title_full_unstemmed Numerical solution of phase field models for two-phase flows
title_sort Numerical solution of phase field models for two-phase flows
dc.creator.none.fl_str_mv Petchamé Guerrero, Jordi
author Petchamé Guerrero, Jordi
author_facet Petchamé Guerrero, Jordi
author_role author
dc.contributor.none.fl_str_mv Sala Lardies, Esther
Fernández Méndez, Sonia
dc.subject.none.fl_str_mv Differential equations, Partial
Phase-field models
Cahn-Hilliard equation
Two-phase flows
Equacions en derivades parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
topic Differential equations, Partial
Phase-field models
Cahn-Hilliard equation
Two-phase flows
Equacions en derivades parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
description Phase-field models describe the motion of multiphase flows using smooth interfaces across which the composition changes continuously. The phase-field variable represents a measure of phase as it quantifies relative differences or fractions of the fluid s components. The Cahn-Hilliard equation was originally proposed to model spinodal decomposition and coarsening in binary alloys. To this day, it has become broad ranged in its applicability. This thesis focuses on solving the Cahn-Hilliard equation numerically. A review of the mathematical modelling is made in order to develop numerical methods. Different numerical simulations in two dimensions are implemented to study the numerical and physical properties. Two realistic physical examples are also numerically solved.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-07-01
2022
2022-08-30
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/371995
url https://hdl.handle.net/2117/371995
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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