A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling

Autores
Dittler, Ramiro Adrián; Demarchi, María Cecilia; Álvarez Hostos, Juan Carlos; Albanesi, Alejandro Eduardo; Tourn, Benjamin Alfredo
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Phase change materials (PCMs) represent a promising solution for thermal energy storage (TES) since they can store and release energy in the form of latent heat during solid liquid transitions. Nevertheless, accurately simulating the thermal behavior of PCMs remains challenging due to the non-linearities concerning latent heat effects and enthalpy hysteresis. This work introduces a stable and robust procedure based on the finite element method (FEM) under a mixed enthalpy–temperature formulation to address such non-linearities, which nables the numerical solutions using derivative-based algorithms such as the Newton–Raphson (NR) method. The static hysteresis model (SHM) is implemented in the FEM-based formulation via a regularization of the liquid fraction function in response to the sign of the temperature rate. This novel approach ensures a continuous and smooth heating cooling transition while retaining the SHM energy-conservative features to properly solve its non-linearities. The method is validated through a one-dimensional benchmark problem, demonstrating high performance and physical fidelity for both complete and partial phase changes. It achieves second-order convergence rates, ensures numerical stability even for large time steps, and maintains accuracy under diverse thermal boundary conditions. Finally, the method is extended to two-dimensional problems, highlighting its robustness and scalability for practical applications in TES systems.
Fil: Dittler, Ramiro Adrián. Universidad Tecnológica Nacional. Facultad Regional Paraná; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
Fil: Demarchi, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; Argentina
Fil: Albanesi, Alejandro Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Tourn, Benjamin Alfredo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; Argentina
Materia
Hysteresis
Regularization
Finite element method
Newton–Raphson, Phase change materials
Phase change materials
Enthalpy–temperature formulation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/282384
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/282384
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modelingDittler, Ramiro AdriánDemarchi, María CeciliaÁlvarez Hostos, Juan CarlosAlbanesi, Alejandro EduardoTourn, Benjamin AlfredoHysteresisRegularizationFinite element methodNewton–Raphson, Phase change materialsPhase change materialsEnthalpy–temperature formulationhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2Phase change materials (PCMs) represent a promising solution for thermal energy storage (TES) since they can store and release energy in the form of latent heat during solid liquid transitions. Nevertheless, accurately simulating the thermal behavior of PCMs remains challenging due to the non-linearities concerning latent heat effects and enthalpy hysteresis. This work introduces a stable and robust procedure based on the finite element method (FEM) under a mixed enthalpy–temperature formulation to address such non-linearities, which nables the numerical solutions using derivative-based algorithms such as the Newton–Raphson (NR) method. The static hysteresis model (SHM) is implemented in the FEM-based formulation via a regularization of the liquid fraction function in response to the sign of the temperature rate. This novel approach ensures a continuous and smooth heating cooling transition while retaining the SHM energy-conservative features to properly solve its non-linearities. The method is validated through a one-dimensional benchmark problem, demonstrating high performance and physical fidelity for both complete and partial phase changes. It achieves second-order convergence rates, ensures numerical stability even for large time steps, and maintains accuracy under diverse thermal boundary conditions. Finally, the method is extended to two-dimensional problems, highlighting its robustness and scalability for practical applications in TES systems.Fil: Dittler, Ramiro Adrián. Universidad Tecnológica Nacional. Facultad Regional Paraná; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; ArgentinaFil: Demarchi, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; ArgentinaFil: Albanesi, Alejandro Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Tourn, Benjamin Alfredo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; ArgentinaPergamon-Elsevier Science Ltd2025-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/282384Dittler, Ramiro Adrián; Demarchi, María Cecilia; Álvarez Hostos, Juan Carlos; Albanesi, Alejandro Eduardo; Tourn, Benjamin Alfredo; A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling; Pergamon-Elsevier Science Ltd; International Communications In Heat And Mass Transfer; 163; 4-2025; 1-170735-1933CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0735193325001162info:eu-repo/semantics/altIdentifier/doi/10.1016/j.icheatmasstransfer.2025.108691info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-04-28T12:38:08Zoai:ri.conicet.gov.ar:11336/282384instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-04-28 12:38:09.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
title A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
spellingShingle A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
Dittler, Ramiro Adrián
Hysteresis
Regularization
Finite element method
Newton–Raphson, Phase change materials
Phase change materials
Enthalpy–temperature formulation
title_short A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
title_full A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
title_fullStr A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
title_full_unstemmed A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
title_sort A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling
dc.creator.none.fl_str_mv Dittler, Ramiro Adrián
Demarchi, María Cecilia
Álvarez Hostos, Juan Carlos
Albanesi, Alejandro Eduardo
Tourn, Benjamin Alfredo
author Dittler, Ramiro Adrián
author_facet Dittler, Ramiro Adrián
Demarchi, María Cecilia
Álvarez Hostos, Juan Carlos
Albanesi, Alejandro Eduardo
Tourn, Benjamin Alfredo
author_role author
author2 Demarchi, María Cecilia
Álvarez Hostos, Juan Carlos
Albanesi, Alejandro Eduardo
Tourn, Benjamin Alfredo
author2_role author
author
author
author
dc.subject.none.fl_str_mv Hysteresis
Regularization
Finite element method
Newton–Raphson, Phase change materials
Phase change materials
Enthalpy–temperature formulation
topic Hysteresis
Regularization
Finite element method
Newton–Raphson, Phase change materials
Phase change materials
Enthalpy–temperature formulation
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Phase change materials (PCMs) represent a promising solution for thermal energy storage (TES) since they can store and release energy in the form of latent heat during solid liquid transitions. Nevertheless, accurately simulating the thermal behavior of PCMs remains challenging due to the non-linearities concerning latent heat effects and enthalpy hysteresis. This work introduces a stable and robust procedure based on the finite element method (FEM) under a mixed enthalpy–temperature formulation to address such non-linearities, which nables the numerical solutions using derivative-based algorithms such as the Newton–Raphson (NR) method. The static hysteresis model (SHM) is implemented in the FEM-based formulation via a regularization of the liquid fraction function in response to the sign of the temperature rate. This novel approach ensures a continuous and smooth heating cooling transition while retaining the SHM energy-conservative features to properly solve its non-linearities. The method is validated through a one-dimensional benchmark problem, demonstrating high performance and physical fidelity for both complete and partial phase changes. It achieves second-order convergence rates, ensures numerical stability even for large time steps, and maintains accuracy under diverse thermal boundary conditions. Finally, the method is extended to two-dimensional problems, highlighting its robustness and scalability for practical applications in TES systems.
Fil: Dittler, Ramiro Adrián. Universidad Tecnológica Nacional. Facultad Regional Paraná; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
Fil: Demarchi, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; Argentina
Fil: Albanesi, Alejandro Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Tourn, Benjamin Alfredo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro de Investigaciones y Transferencia Rafaela. - Universidad Nacional de Rafaela. Centro de Investigaciones y Transferencia Rafaela.; Argentina
description Phase change materials (PCMs) represent a promising solution for thermal energy storage (TES) since they can store and release energy in the form of latent heat during solid liquid transitions. Nevertheless, accurately simulating the thermal behavior of PCMs remains challenging due to the non-linearities concerning latent heat effects and enthalpy hysteresis. This work introduces a stable and robust procedure based on the finite element method (FEM) under a mixed enthalpy–temperature formulation to address such non-linearities, which nables the numerical solutions using derivative-based algorithms such as the Newton–Raphson (NR) method. The static hysteresis model (SHM) is implemented in the FEM-based formulation via a regularization of the liquid fraction function in response to the sign of the temperature rate. This novel approach ensures a continuous and smooth heating cooling transition while retaining the SHM energy-conservative features to properly solve its non-linearities. The method is validated through a one-dimensional benchmark problem, demonstrating high performance and physical fidelity for both complete and partial phase changes. It achieves second-order convergence rates, ensures numerical stability even for large time steps, and maintains accuracy under diverse thermal boundary conditions. Finally, the method is extended to two-dimensional problems, highlighting its robustness and scalability for practical applications in TES systems.
publishDate 2025
dc.date.none.fl_str_mv 2025-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/282384
Dittler, Ramiro Adrián; Demarchi, María Cecilia; Álvarez Hostos, Juan Carlos; Albanesi, Alejandro Eduardo; Tourn, Benjamin Alfredo; A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling; Pergamon-Elsevier Science Ltd; International Communications In Heat And Mass Transfer; 163; 4-2025; 1-17
0735-1933
CONICET Digital
CONICET
url http://hdl.handle.net/11336/282384
identifier_str_mv Dittler, Ramiro Adrián; Demarchi, María Cecilia; Álvarez Hostos, Juan Carlos; Albanesi, Alejandro Eduardo; Tourn, Benjamin Alfredo; A regularized approach for derivative-based numerical solution of non-linearities in phase change static hysteresis modeling; Pergamon-Elsevier Science Ltd; International Communications In Heat And Mass Transfer; 163; 4-2025; 1-17
0735-1933
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0735193325001162
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.icheatmasstransfer.2025.108691
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.039084

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