An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model

The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate...

Descripción completa

Detalles Bibliográficos
Autores: Acosta Soba, Daniel, Guillén González, Francisco Manuel, Rodríguez Galván, José Rafael
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144628
Acceso en línea:https://hdl.handle.net/11441/144628
https://doi.org/10.1007/s11075-022-01355-2
Access Level:acceso abierto
Palabra clave:Discontinuous Galerkin
Upwind scheme
Diffuse interface
Convection
Degenerate mobility
id ES_ba60bc6ed73dec44cfdc7ab71aa79397
oai_identifier_str oai:idus.us.es:11441/144628
network_acronym_str ES
network_name_str España
repository_id_str
spelling An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard modelAcosta Soba, DanielGuillén González, Francisco ManuelRodríguez Galván, José RafaelDiscontinuous GalerkinUpwind schemeDiffuse interfaceConvectionDegenerate mobilityThe design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the maximum principle and prevents non-physical spurious oscillations. Furthermore, we show some numerical experiments in agreement with the previous theoretical results. Finally, numerical comparisons with other schemes found in the literature are also carried out.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/144628https://doi.org/10.1007/s11075-022-01355-2reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNumerical Algorithms, 92, 1589-1619.http://doi.org/10.1007/s11075-022-01355-2info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1446282026-06-17T12:51:07Z
dc.title.none.fl_str_mv An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
title An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
spellingShingle An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
Acosta Soba, Daniel
Discontinuous Galerkin
Upwind scheme
Diffuse interface
Convection
Degenerate mobility
title_short An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
title_full An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
title_fullStr An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
title_full_unstemmed An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
title_sort An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
dc.creator.none.fl_str_mv Acosta Soba, Daniel
Guillén González, Francisco Manuel
Rodríguez Galván, José Rafael
author Acosta Soba, Daniel
author_facet Acosta Soba, Daniel
Guillén González, Francisco Manuel
Rodríguez Galván, José Rafael
author_role author
author2 Guillén González, Francisco Manuel
Rodríguez Galván, José Rafael
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software
dc.subject.none.fl_str_mv Discontinuous Galerkin
Upwind scheme
Diffuse interface
Convection
Degenerate mobility
topic Discontinuous Galerkin
Upwind scheme
Diffuse interface
Convection
Degenerate mobility
description The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the maximum principle and prevents non-physical spurious oscillations. Furthermore, we show some numerical experiments in agreement with the previous theoretical results. Finally, numerical comparisons with other schemes found in the literature are also carried out.
publishDate 2022
dc.date.none.fl_str_mv 2022
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/11441/144628
https://doi.org/10.1007/s11075-022-01355-2
url https://hdl.handle.net/11441/144628
https://doi.org/10.1007/s11075-022-01355-2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Numerical Algorithms, 92, 1589-1619.
http://doi.org/10.1007/s11075-022-01355-2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869417892974428160
score 15.300724

Similares en LA Referencia