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

Handle URI:
http://hdl.handle.net/10754/562740
Title:
Time adaptivity in the diffusive wave approximation to the shallow water equations
Authors:
Collier, Nathaniel Oren; Radwan, Hany G.; Dalcín, Lisandro D.; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
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, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. © 2011 Elsevier B.V.
KAUST Department:
Applied Mathematics and Computational Science Program; Biological and Environmental Sciences and Engineering (BESE) Division; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier
Journal:
Journal of Computational Science
Issue Date:
May-2013
DOI:
10.1016/j.jocs.2011.07.004
Type:
Article
ISSN:
18777503
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Biological and Environmental Sciences and Engineering (BESE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCollier, Nathaniel Orenen
dc.contributor.authorRadwan, Hany G.en
dc.contributor.authorDalcín, Lisandro D.en
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-03T11:03:56Zen
dc.date.available2015-08-03T11:03:56Zen
dc.date.issued2013-05en
dc.identifier.issn18777503en
dc.identifier.doi10.1016/j.jocs.2011.07.004en
dc.identifier.urihttp://hdl.handle.net/10754/562740en
dc.description.abstractWe 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, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. © 2011 Elsevier B.V.en
dc.publisherElsevieren
dc.subjectOverland flowen
dc.subjectShallow water flowen
dc.subjectTime adaptivityen
dc.titleTime adaptivity in the diffusive wave approximation to the shallow water equationsen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalJournal of Computational Scienceen
dc.contributor.institutionCentro Internacional de Métodos Computacionales en Ingeniería, Santa Fe, Argentinaen
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
kaust.authorRadwan, Hany G.en
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