A reduced basis for a local high definition wind model

In this paper we present an application of the reduced basis method to a local high definition adjusted wind model. The model provides a precise description of the wind in 3D and takes into account topography and thermal gradients on the surface by solving only 2D linear equations; the buoyancy forc...

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Detalles Bibliográficos
Autores: Cascón Barbero, José Manuel, Engdahl, Andrea, Ferragut Canals, Luis
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/138168
Acceso en línea:http://hdl.handle.net/10366/138168
Access Level:acceso abierto
Palabra clave:Reduced basis method
Wind field adjustment
Optimal control
A posteriori error estimates
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spelling A reduced basis for a local high definition wind modelCascón Barbero, José ManuelEngdahl, AndreaFerragut Canals, LuisReduced basis methodWind field adjustmentOptimal controlA posteriori error estimatesIn this paper we present an application of the reduced basis method to a local high definition adjusted wind model. The model provides a precise description of the wind in 3D and takes into account topography and thermal gradients on the surface by solving only 2D linear equations; the buoyancy forces, slope effects, and mass conservation are also considered. The wind field is adjusted to the point measurements through an optimal control problem in which the wind flux acts as a control on the boundary. In order to use a reduced basis method, we consider an affine decomposition in terms of the parameter related to the friction coefficient and the wind measures at some given observation points. We also design an a posteriori error estimator that is needed to conduct our reduced basis process. Finally, two numerical examples are presented: a test problem and a real-data scenario, we corroborate the correct behavior of the method in both cases.Ministerio de Economía y Competitividad del Gobierno de España; FONDECYT N1140392, CONICYT; Basal CMM U. de Chile;Elsevier201820182016info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10366/138168reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésComputer Methods in Applied Mechanics and Engineering; 311CGL2011-29396-C03-02ACT-1106Attribution-NonCommercial-NoDerivs 3.0 Unportedhttps://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1381682026-06-07T06:28:51Z
dc.title.none.fl_str_mv A reduced basis for a local high definition wind model
title A reduced basis for a local high definition wind model
spellingShingle A reduced basis for a local high definition wind model
Cascón Barbero, José Manuel
Reduced basis method
Wind field adjustment
Optimal control
A posteriori error estimates
title_short A reduced basis for a local high definition wind model
title_full A reduced basis for a local high definition wind model
title_fullStr A reduced basis for a local high definition wind model
title_full_unstemmed A reduced basis for a local high definition wind model
title_sort A reduced basis for a local high definition wind model
dc.creator.none.fl_str_mv Cascón Barbero, José Manuel
Engdahl, Andrea
Ferragut Canals, Luis
author Cascón Barbero, José Manuel
author_facet Cascón Barbero, José Manuel
Engdahl, Andrea
Ferragut Canals, Luis
author_role author
author2 Engdahl, Andrea
Ferragut Canals, Luis
author2_role author
author
dc.subject.none.fl_str_mv Reduced basis method
Wind field adjustment
Optimal control
A posteriori error estimates
topic Reduced basis method
Wind field adjustment
Optimal control
A posteriori error estimates
description In this paper we present an application of the reduced basis method to a local high definition adjusted wind model. The model provides a precise description of the wind in 3D and takes into account topography and thermal gradients on the surface by solving only 2D linear equations; the buoyancy forces, slope effects, and mass conservation are also considered. The wind field is adjusted to the point measurements through an optimal control problem in which the wind flux acts as a control on the boundary. In order to use a reduced basis method, we consider an affine decomposition in terms of the parameter related to the friction coefficient and the wind measures at some given observation points. We also design an a posteriori error estimator that is needed to conduct our reduced basis process. Finally, two numerical examples are presented: a test problem and a real-data scenario, we corroborate the correct behavior of the method in both cases.
publishDate 2016
dc.date.none.fl_str_mv 2016
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/138168
url http://hdl.handle.net/10366/138168
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Computer Methods in Applied Mechanics and Engineering; 311
CGL2011-29396-C03-02
ACT-1106
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivs 3.0 Unported
https://creativecommons.org/licenses/by-nc-nd/3.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Unported
https://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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