Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids

29 Pags.- 17 Figs.- 2 Tabls. The definitive version is available at: https://link.springer.com/journal/40314

Detalles Bibliográficos
Autores: Morales-Hernández, Mario, Zuazua, E.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/193414
Acceso en línea:http://hdl.handle.net/10261/193414
Access Level:acceso abierto
Palabra clave:Linear transport Inverse design
Sensitivity
First and second order schemes
Gradient descent method
Adjoint
Linear transport Inverse design Sensitivity First and second order schemes Gradient descent method Adjoint
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spelling Adjoint computational methods for 2D inverse design of linear transport equations on unstructured gridsMorales-Hernández, MarioZuazua, E.Linear transport Inverse designSensitivityFirst and second order schemesGradient descent methodAdjointLinear transport Inverse design Sensitivity First and second order schemes Gradient descent method Adjoint29 Pags.- 17 Figs.- 2 Tabls. The definitive version is available at: https://link.springer.com/journal/40314We address the problem of inverse design of linear hyperbolic transport equations in 2D heterogeneous media. We develop numerical algorithms based on gradient-adjoint methodologies on unstructured grids. While the flow equation is compulsorily solved by means of a second order upwind scheme so to guarantee sufficient accuracy, the necessity of using the same order of approximation when solving the sensitivity or adjoint equation is examined. Two test cases, including Doswell frontogenesis, are analysed. We show the convenience of using a low order method for the adjoint resolution, both in terms of accuracy and efficiency. An analytical explanation for this fact is also provided in the sense that, when employing higher order schemes for the adjoint problem, spurious high frequency numerical components slow down the convergence process.This work was done while the first author was a postdoctoral fellow of the team of the Advanced Grant NUMERIWAVES/FP7-246775 of the European Research Council. The second author was partially supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement NO: 694126-DyCon), the Grant MTM2017-92996-C2-1-R COSNET of MINECO (Spain), the ELKARTEK project KK-2018/00083 ROAD2DC of the Basque Government, the Air Force Office of Scientific Research under Award NO: FA9550-18-1-0242, the Marie Curie Training Action “ConFlex” SEP-210412102 and the ICON project of the French ANR.Peer reviewedSpringer NatureEuropean Research CouncilEuropean CommissionMinisterio de Economía y Competitividad (España)Eusko JaurlaritzaAir Force Office of Scientific Research (US)Marie Curie Memorial FoundationAgence Nationale de la Recherche (France)Morales-Hernández, Mario [0000-0001-6961-7250]Zuazua, E. [0000-0002-1377-0958]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201920192019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/193414reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/H2020/694126https://doi.org/10.1007/s40314-019-0935-0Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1934142026-05-22T06:33:51Z
dc.title.none.fl_str_mv Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
title Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
spellingShingle Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
Morales-Hernández, Mario
Linear transport Inverse design
Sensitivity
First and second order schemes
Gradient descent method
Adjoint
Linear transport Inverse design Sensitivity First and second order schemes Gradient descent method Adjoint
title_short Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
title_full Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
title_fullStr Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
title_full_unstemmed Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
title_sort Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
dc.creator.none.fl_str_mv Morales-Hernández, Mario
Zuazua, E.
author Morales-Hernández, Mario
author_facet Morales-Hernández, Mario
Zuazua, E.
author_role author
author2 Zuazua, E.
author2_role author
dc.contributor.none.fl_str_mv European Research Council
European Commission
Ministerio de Economía y Competitividad (España)
Eusko Jaurlaritza
Air Force Office of Scientific Research (US)
Marie Curie Memorial Foundation
Agence Nationale de la Recherche (France)
Morales-Hernández, Mario [0000-0001-6961-7250]
Zuazua, E. [0000-0002-1377-0958]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Linear transport Inverse design
Sensitivity
First and second order schemes
Gradient descent method
Adjoint
Linear transport Inverse design Sensitivity First and second order schemes Gradient descent method Adjoint
topic Linear transport Inverse design
Sensitivity
First and second order schemes
Gradient descent method
Adjoint
Linear transport Inverse design Sensitivity First and second order schemes Gradient descent method Adjoint
description 29 Pags.- 17 Figs.- 2 Tabls. The definitive version is available at: https://link.springer.com/journal/40314
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/193414
url http://hdl.handle.net/10261/193414
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/EC/H2020/694126
https://doi.org/10.1007/s40314-019-0935-0
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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