Diffusive Wave Approximation to the Shallow Water Equations: Computational Approach

Handle URI:
http://hdl.handle.net/10754/552549
Title:
Diffusive Wave Approximation to the Shallow Water Equations: Computational Approach
Authors:
Collier, Nathan; Radwan, Hany; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; 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, 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.
KAUST Department:
Applied Mathematics and Computational Science Program; Earth Science and Engineering Program
Citation:
Diffusive Wave Approximation to the Shallow Water Equations: Computational Approach 2011, 4:1828 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
11th International Conference on Computational Science, ICCS 2011
Issue Date:
14-May-2011
DOI:
10.1016/j.procs.2011.04.198
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050911002560
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorCollier, Nathanen
dc.contributor.authorRadwan, Hanyen
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-05-10T14:30:43Zen
dc.date.available2015-05-10T14:30:43Zen
dc.date.issued2011-05-14en
dc.identifier.citationDiffusive Wave Approximation to the Shallow Water Equations: Computational Approach 2011, 4:1828 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2011.04.198en
dc.identifier.urihttp://hdl.handle.net/10754/552549en
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, 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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050911002560en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjecttime adaptivityen
dc.subjectshallow water flowen
dc.subjectoverland flowen
dc.titleDiffusive Wave Approximation to the Shallow Water Equations: Computational Approachen
dc.typeConference Paperen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2011-06-01 to 2011-06-03en
dc.conference.name11th International Conference on Computational Science, ICCS 2011en
dc.conference.locationSingapore, SGPen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionCentro Internacional de Ḿetodos Computacionales en Ingenieŕıa Santa Fe, Argentinaen
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
kaust.authorRadwan, Hany G.en
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