Time adaptivity in the diffusive wave approximation to the shallow water equations

Autores
Collier, Nathan; Radwan, Hany; Dalcin, Lisandro Daniel; Calo, Calo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, in the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.
Fil: Collier, Nathan. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Radwan, Hany. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Calo, Calo. King Abdullah University of Science and Technology; Arabia Saudita
Materia
Time Adaptativity
Shallow Water Flow
Overland Flow
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/8634
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/8634
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Time adaptivity in the diffusive wave approximation to the shallow water equationsCollier, NathanRadwan, HanyDalcin, Lisandro DanielCalo, CaloTime AdaptativityShallow Water FlowOverland Flowhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, in the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.Fil: Collier, Nathan. King Abdullah University of Science and Technology; Arabia SauditaFil: Radwan, Hany. King Abdullah University of Science and Technology; Arabia SauditaFil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); ArgentinaFil: Calo, Calo. King Abdullah University of Science and Technology; Arabia SauditaElsevier2013-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8634Collier, Nathan; Radwan, Hany; Dalcin, Lisandro Daniel; Calo, Calo; Time adaptivity in the diffusive wave approximation to the shallow water equations; Elsevier; Journal of Computational Science; 4; 3; 5-2013; 152-1561877-7503enginfo:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1016/j.jocs.2011.07.004info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1877750311000664info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:00:41Zoai:ri.conicet.gov.ar:11336/8634instacron: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:34982025-10-22 12:00:42.015CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Time adaptivity in the diffusive wave approximation to the shallow water equations
title Time adaptivity in the diffusive wave approximation to the shallow water equations
spellingShingle Time adaptivity in the diffusive wave approximation to the shallow water equations
Collier, Nathan
Time Adaptativity
Shallow Water Flow
Overland Flow
title_short Time adaptivity in the diffusive wave approximation to the shallow water equations
title_full Time adaptivity in the diffusive wave approximation to the shallow water equations
title_fullStr Time adaptivity in the diffusive wave approximation to the shallow water equations
title_full_unstemmed Time adaptivity in the diffusive wave approximation to the shallow water equations
title_sort Time adaptivity in the diffusive wave approximation to the shallow water equations
dc.creator.none.fl_str_mv Collier, Nathan
Radwan, Hany
Dalcin, Lisandro Daniel
Calo, Calo
author Collier, Nathan
author_facet Collier, Nathan
Radwan, Hany
Dalcin, Lisandro Daniel
Calo, Calo
author_role author
author2 Radwan, Hany
Dalcin, Lisandro Daniel
Calo, Calo
author2_role author
author
author
dc.subject.none.fl_str_mv Time Adaptativity
Shallow Water Flow
Overland Flow
topic Time Adaptativity
Shallow Water Flow
Overland Flow
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, in the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.
Fil: Collier, Nathan. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Radwan, Hany. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Calo, Calo. King Abdullah University of Science and Technology; Arabia Saudita
description We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, in the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.
publishDate 2013
dc.date.none.fl_str_mv 2013-05
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/11336/8634
Collier, Nathan; Radwan, Hany; Dalcin, Lisandro Daniel; Calo, Calo; Time adaptivity in the diffusive wave approximation to the shallow water equations; Elsevier; Journal of Computational Science; 4; 3; 5-2013; 152-156
1877-7503
url http://hdl.handle.net/11336/8634
identifier_str_mv Collier, Nathan; Radwan, Hany; Dalcin, Lisandro Daniel; Calo, Calo; Time adaptivity in the diffusive wave approximation to the shallow water equations; Elsevier; Journal of Computational Science; 4; 3; 5-2013; 152-156
1877-7503
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1016/j.jocs.2011.07.004
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1877750311000664
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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 12.982451

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