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dc.contributor.author
Tassi, P. A.
dc.contributor.author
Rhebergen, S.
dc.contributor.author
Vionnet, Carlos Alberto
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dc.contributor.author
Bokhove, O.
dc.date.available
2024-08-08T13:54:08Z
dc.date.issued
2008-06
dc.identifier.citation
Tassi, P. A.; Rhebergen, S.; Vionnet, Carlos Alberto; Bokhove, O.; A discontinuous Galerkin finite element model for river bed evolution under shallow flows; Elsevier Science SA; Computer Methods in Applied Mechanics and Engineering; 197; 33-40; 6-2008; 2930-2947
dc.identifier.issn
0045-7825
dc.identifier.uri
http://hdl.handle.net/11336/242125
dc.description.abstract
The accurate representation of morphodynamic processes and the ability to propagate changes in the riverbed over a wide range of space and time scales make the design and implementation of appropriate numerical schemes challenging. In particular, requirements of accuracy and stability for medium and long term simulations are difficult to meet. In this work, the derivation, design, and implementation of a discontinuous Galerkin finite element method (DGFEM) for sediment transport and bed evolution equations are presented. Numerical morphodynamic models involve a coupling between a hydrodynamic flow solver which acts as a driving force and a bed evolution model which accounts for sediment flux and bathymetry changes. A space DGFEM is presented based on an extended approach for systems of partial differential equations with non-conservative products, in combination with two intertwined Runge–Kutta time stepping schemes for the fast hydrodynamic and slow morphodynamic components. The resulting numerical scheme is verified by comparing simulations against (semi-)analytical solutions. These include the evolution of an initially symmetric, isolated bedform; the formation and propagation of a step in a straight channel due to a sudden overload of sediment discharge; the propagation of a travelling diffusive sediment wave in a straight channel; and, the evolution of an initially flat bed in a channel with a contraction. Finally, a comparison is made between a numerical simulation and field data of a trench excavated in the main channel of the Paraná river near Paraná city, Argentina.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science SA
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Discontinuous Galerkin finite element method
dc.subject
Morphodynamic model
dc.subject
Shallow flows
dc.subject
Non-conservative products
dc.subject
Multiphase physics
dc.subject.classification
Ingeniería Civil
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dc.subject.classification
Ingeniería Civil
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
A discontinuous Galerkin finite element model for river bed evolution under shallow flows
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-08-07T15:27:35Z
dc.journal.volume
197
dc.journal.number
33-40
dc.journal.pagination
2930-2947
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Tassi, P. A.. Universidad Nacional del Litoral; Argentina. Universiteit Twente (ut);
dc.description.fil
Fil: Rhebergen, S.. Universiteit Twente (ut);
dc.description.fil
Fil: Vionnet, Carlos Alberto. Universidad Nacional del Litoral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
dc.description.fil
Fil: Bokhove, O.. Universiteit Twente (ut);
dc.journal.title
Computer Methods in Applied Mechanics and Engineering
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782508000510
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2008.01.023
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