Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes

We study the superposition of 1D and 2D shallow-water equations with non-flat topographies, in the context of river-flood modeling. Since we superpose both models in the bi-dimensional areas, we focus on the definition of the coupling term required in the 1D equations. Using explicit finite volume s...

Descripción completa

Detalles Bibliográficos
Autores: Fernández Nieto, Enrique Domingo, Marin, J., Monnier, J.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/32161
Acceso en línea:http://hdl.handle.net/11441/32161
https://doi.org/10.1016/j.compfluid.2010.01.016
Access Level:acceso abierto
Palabra clave:Shallow-water equations
Superposition
Coupling
Finite volume
Well-balanced
River
Flood plain
id ES_e190cd2df0ae514010f7ae653f030e18
oai_identifier_str oai:idus.us.es:11441/32161
network_acronym_str ES
network_name_str España
repository_id_str
spelling Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemesFernández Nieto, Enrique DomingoMarin, J.Monnier, J.Shallow-water equationsSuperpositionCouplingFinite volumeWell-balancedRiverFlood plainWe study the superposition of 1D and 2D shallow-water equations with non-flat topographies, in the context of river-flood modeling. Since we superpose both models in the bi-dimensional areas, we focus on the definition of the coupling term required in the 1D equations. Using explicit finite volume schemes, we propose a definition of the discrete coupling term leading to schemes globally well-balanced (the global scheme preserves water at rest whatever if overflowing or not). For both equations (1D and 2D), we can consider independent finite volume schemes based on well-balanced Roe, HLL, Rusanov or other scheme, then the resulting global scheme remains well-balanced. We perform a few numerical tests showing on the one hand the well-balanced property of the resulting global numerical model, on the other hand the accuracy and robustness of our superposition approach. Therefore, the definition of the coupling term we present allows to superpose a local 2D model over a 1D main channel model, with non-flat topographies and mix incoming-outgoing lateral fluxes, using independent grids and finite volume solvers.ElsevierMatemática Aplicada I2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/32161https://doi.org/10.1016/j.compfluid.2010.01.016reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésComputers & Fluids, 39(6), pp.1070–1082doi:10.1016/j.compfluid.2010.01.016http://dx.doi.org/10.1016/j.compfluid.2010.01.016info:eu-repo/semantics/openAccessoai:idus.us.es:11441/321612026-06-17T12:51:07Z
dc.title.none.fl_str_mv Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
title Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
spellingShingle Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
Fernández Nieto, Enrique Domingo
Shallow-water equations
Superposition
Coupling
Finite volume
Well-balanced
River
Flood plain
title_short Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
title_full Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
title_fullStr Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
title_full_unstemmed Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
title_sort Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes
dc.creator.none.fl_str_mv Fernández Nieto, Enrique Domingo
Marin, J.
Monnier, J.
author Fernández Nieto, Enrique Domingo
author_facet Fernández Nieto, Enrique Domingo
Marin, J.
Monnier, J.
author_role author
author2 Marin, J.
Monnier, J.
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Shallow-water equations
Superposition
Coupling
Finite volume
Well-balanced
River
Flood plain
topic Shallow-water equations
Superposition
Coupling
Finite volume
Well-balanced
River
Flood plain
description We study the superposition of 1D and 2D shallow-water equations with non-flat topographies, in the context of river-flood modeling. Since we superpose both models in the bi-dimensional areas, we focus on the definition of the coupling term required in the 1D equations. Using explicit finite volume schemes, we propose a definition of the discrete coupling term leading to schemes globally well-balanced (the global scheme preserves water at rest whatever if overflowing or not). For both equations (1D and 2D), we can consider independent finite volume schemes based on well-balanced Roe, HLL, Rusanov or other scheme, then the resulting global scheme remains well-balanced. We perform a few numerical tests showing on the one hand the well-balanced property of the resulting global numerical model, on the other hand the accuracy and robustness of our superposition approach. Therefore, the definition of the coupling term we present allows to superpose a local 2D model over a 1D main channel model, with non-flat topographies and mix incoming-outgoing lateral fluxes, using independent grids and finite volume solvers.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/32161
https://doi.org/10.1016/j.compfluid.2010.01.016
url http://hdl.handle.net/11441/32161
https://doi.org/10.1016/j.compfluid.2010.01.016
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Computers & Fluids, 39(6), pp.1070–1082
doi:10.1016/j.compfluid.2010.01.016
http://dx.doi.org/10.1016/j.compfluid.2010.01.016
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869422304602095616
score 15,301603

Similares en LA Referencia