Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses

[EN] The dam-break wave modeling technology relies upon the so-called shallow water equations (SWE), i.e., mass and momentum vertically averaged equations by implementing the shallow water hypotheses, namely (i) horizontal velocity component independent of the vertical coordinate, (ii) vertical velo...

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Autores: Cantero-Chinchilla, Francisco N., Gamero, Pedro, Castro-Orgaz, Oscar, Cea, Luis, Hager, Willi H., Bergillos-Meca, Rafael Jesús|||0000-0001-8674-5043
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/202992
Acesso em linha:https://riunet.upv.es/handle/10251/202992
Access Level:acceso abierto
Palavra-chave:Dam break
Non-hydrostatic flow
Shallow water hypotheses
Vertically averaged model
Weighted residual method
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spelling Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water HypothesesCantero-Chinchilla, Francisco N.Gamero, PedroCastro-Orgaz, OscarCea, LuisHager, Willi H.Bergillos-Meca, Rafael Jesús|||0000-0001-8674-5043Dam breakNon-hydrostatic flowShallow water hypothesesVertically averaged modelWeighted residual method[EN] The dam-break wave modeling technology relies upon the so-called shallow water equations (SWE), i.e., mass and momentum vertically averaged equations by implementing the shallow water hypotheses, namely (i) horizontal velocity component independent of the vertical coordinate, (ii) vertical velocity component is null, (iii) pressure distribution is hydrostatic, (iv) turbulence is neglected. While this model often yields a satisfactory answer from an engineering standpoint, flows with vertical length scales not negligible cannot be modeled with accuracy, including the undular surge generated after a dam break for relatively high tailwater levels. These flows are modeled by the Serre-Green-Naghdi equations (SGNE), which fail to mimic wave breaking for low tailwater levels, however. Neither SWE nor SGNE produce a fully satisfactory answer for modeling dam break waves, therefore. A higher-order model using vertically averaged and moment equations (VAM) is used in this work to simulate dam break waves, thereby showing good results for arbitrary values of the tailwater level. The model contains four perturbation parameters implemented to overcome the shallow water hypotheses; two for the velocity components and two for fluid pressure. The role of each parameter in relaxing the limitations of the SWE is systematically investigated, depicting a complex and necessary interplay between the dynamic component of fluid pressure and the modeling of the velocity profile in producing accurate solutions for both non-hydrostatic and broken waves in dam break flows. The results highlight how the shallow water hypotheses can be relaxed in the vertically averaged modeling of dam break waves, producing an outcome of both theoretical and practical interest in the field. The results generated are tested with available experimental data, resulting in acceptable agreement.This research was funded by the Spanish State Research Agency; project number CTM2017-85171-C2-1-R. FNCC and RB were partly funded by the Spanish Ministry of Science, Innovation and Universities through the research contracts FJCI-2016-28009 and FJCI-2017-31781, respectively.MDPI AGDepartamento de Ingeniería Hidráulica y Medio AmbienteInstituto Universitario de Ingeniería del Agua y del Medio AmbienteEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosAgencia Estatal de InvestigaciónMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-11-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/202992reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 CTM2017-85171-C2-1-R DESARROLLO DE MODELOS NO HIDROSTATICOS PARA ESTUDIOS HIDROAMBIENTALESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 FJCI-2016-28009Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 FJCI-2017-31781open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2029922026-06-13T07:49:27Z
dc.title.none.fl_str_mv Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
title Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
spellingShingle Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
Cantero-Chinchilla, Francisco N.
Dam break
Non-hydrostatic flow
Shallow water hypotheses
Vertically averaged model
Weighted residual method
title_short Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
title_full Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
title_fullStr Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
title_full_unstemmed Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
title_sort Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses
dc.creator.none.fl_str_mv Cantero-Chinchilla, Francisco N.
Gamero, Pedro
Castro-Orgaz, Oscar
Cea, Luis
Hager, Willi H.
Bergillos-Meca, Rafael Jesús|||0000-0001-8674-5043
author Cantero-Chinchilla, Francisco N.
author_facet Cantero-Chinchilla, Francisco N.
Gamero, Pedro
Castro-Orgaz, Oscar
Cea, Luis
Hager, Willi H.
Bergillos-Meca, Rafael Jesús|||0000-0001-8674-5043
author_role author
author2 Gamero, Pedro
Castro-Orgaz, Oscar
Cea, Luis
Hager, Willi H.
Bergillos-Meca, Rafael Jesús|||0000-0001-8674-5043
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Departamento de Ingeniería Hidráulica y Medio Ambiente
Instituto Universitario de Ingeniería del Agua y del Medio Ambiente
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
Agencia Estatal de Investigación
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Dam break
Non-hydrostatic flow
Shallow water hypotheses
Vertically averaged model
Weighted residual method
topic Dam break
Non-hydrostatic flow
Shallow water hypotheses
Vertically averaged model
Weighted residual method
description [EN] The dam-break wave modeling technology relies upon the so-called shallow water equations (SWE), i.e., mass and momentum vertically averaged equations by implementing the shallow water hypotheses, namely (i) horizontal velocity component independent of the vertical coordinate, (ii) vertical velocity component is null, (iii) pressure distribution is hydrostatic, (iv) turbulence is neglected. While this model often yields a satisfactory answer from an engineering standpoint, flows with vertical length scales not negligible cannot be modeled with accuracy, including the undular surge generated after a dam break for relatively high tailwater levels. These flows are modeled by the Serre-Green-Naghdi equations (SGNE), which fail to mimic wave breaking for low tailwater levels, however. Neither SWE nor SGNE produce a fully satisfactory answer for modeling dam break waves, therefore. A higher-order model using vertically averaged and moment equations (VAM) is used in this work to simulate dam break waves, thereby showing good results for arbitrary values of the tailwater level. The model contains four perturbation parameters implemented to overcome the shallow water hypotheses; two for the velocity components and two for fluid pressure. The role of each parameter in relaxing the limitations of the SWE is systematically investigated, depicting a complex and necessary interplay between the dynamic component of fluid pressure and the modeling of the velocity profile in producing accurate solutions for both non-hydrostatic and broken waves in dam break flows. The results highlight how the shallow water hypotheses can be relaxed in the vertically averaged modeling of dam break waves, producing an outcome of both theoretical and practical interest in the field. The results generated are tested with available experimental data, resulting in acceptable agreement.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-11-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/202992
url https://riunet.upv.es/handle/10251/202992
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 CTM2017-85171-C2-1-R DESARROLLO DE MODELOS NO HIDROSTATICOS PARA ESTUDIOS HIDROAMBIENTALES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 FJCI-2016-28009
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 FJCI-2017-31781
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
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
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869414004857765888
score 15,301603

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