A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem

A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an energy equation depending on the Rayleigh numb...

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Detalles Bibliográficos
Autores: Cortés Velasco, Jesús, Herrero Sanz, Henar, Pla Martos, Francisco
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Castilla-La Mancha
Repositorio:RUIdeRA. Repositorio Institucional de la UCLM
OAI Identifier:oai:ruidera.uclm.es:10578/46111
Acceso en línea:https://doi.org/10.3390/math10060905
https://hdl.handle.net/10578/46111
https://www.mdpi.com/2227-7390/10/6/905
Access Level:acceso abierto
Palabra clave:geophysical flows
proper orthogonal decomposition
Rayleigh–Bénard instability
reduced-order models
spectral methods
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spelling A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection ProblemCortés Velasco, JesúsHerrero Sanz, HenarPla Martos, Franciscogeophysical flowsproper orthogonal decompositionRayleigh–Bénard instabilityreduced-order modelsspectral methodsA Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an energy equation depending on the Rayleigh number R as a bifurcation parameter. From the numerical solution and stability analysis of the system for a single value of the bifurcation parameter, the whole bifurcation diagram in an interval of values of R is obtained. Three different bifurcation points and four types of solutions are obtained with small errors. The computing time is drastically reduced with this methodology.MDPI202520252022info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://doi.org/10.3390/math10060905https://hdl.handle.net/10578/46111https://www.mdpi.com/2227-7390/10/6/905reponame:RUIdeRA. Repositorio Institucional de la UCLMinstname:Universidad de Castilla-La ManchaInglésPID2019-109652GB-I002021-GRIN-309852020-GRIN-28738info:eu-repo/semantics/openAccessoai:ruidera.uclm.es:10578/461112026-05-27T07:36:41Z
dc.title.none.fl_str_mv A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
title A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
spellingShingle A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
Cortés Velasco, Jesús
geophysical flows
proper orthogonal decomposition
Rayleigh–Bénard instability
reduced-order models
spectral methods
title_short A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
title_full A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
title_fullStr A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
title_full_unstemmed A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
title_sort A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem
dc.creator.none.fl_str_mv Cortés Velasco, Jesús
Herrero Sanz, Henar
Pla Martos, Francisco
author Cortés Velasco, Jesús
author_facet Cortés Velasco, Jesús
Herrero Sanz, Henar
Pla Martos, Francisco
author_role author
author2 Herrero Sanz, Henar
Pla Martos, Francisco
author2_role author
author
dc.subject.none.fl_str_mv geophysical flows
proper orthogonal decomposition
Rayleigh–Bénard instability
reduced-order models
spectral methods
topic geophysical flows
proper orthogonal decomposition
Rayleigh–Bénard instability
reduced-order models
spectral methods
description A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an energy equation depending on the Rayleigh number R as a bifurcation parameter. From the numerical solution and stability analysis of the system for a single value of the bifurcation parameter, the whole bifurcation diagram in an interval of values of R is obtained. Three different bifurcation points and four types of solutions are obtained with small errors. The computing time is drastically reduced with this methodology.
publishDate 2022
dc.date.none.fl_str_mv 2022
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://doi.org/10.3390/math10060905
https://hdl.handle.net/10578/46111
https://www.mdpi.com/2227-7390/10/6/905
url https://doi.org/10.3390/math10060905
https://hdl.handle.net/10578/46111
https://www.mdpi.com/2227-7390/10/6/905
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv PID2019-109652GB-I00
2021-GRIN-30985
2020-GRIN-28738
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:RUIdeRA. Repositorio Institucional de la UCLM
instname:Universidad de Castilla-La Mancha
instname_str Universidad de Castilla-La Mancha
reponame_str RUIdeRA. Repositorio Institucional de la UCLM
collection RUIdeRA. Repositorio Institucional de la UCLM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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