On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows

(This article belongs to the Special Issue Adjoint-Based Techniques in Computational Fluid Dynamics: Theory and Applications)

Detalles Bibliográficos
Autores: Lozano, Carlos, Ponsin Roca, Jorge
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Instituto Nacional de Técnica Aeroespacial (INTA)
Repositorio:DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial
OAI Identifier:oai:digital.inta.es:20.500.12666/1052
Acceso en línea:https://www.mdpi.com/2226-4310/12/6/494
http://hdl.handle.net/20.500.12666/1052
Access Level:acceso abierto
Palabra clave:Adjoint variables
Compressible flow
Characteristic lines
Compatibility conditions
Supersonic flow
Mach lines
Riemann invariants
Jump conditions
Shock expansion theory
Aerodynamic design
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spelling On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid FlowsLozano, CarlosPonsin Roca, JorgeAdjoint variablesCompressible flowCharacteristic linesCompatibility conditionsSupersonic flowMach linesRiemann invariantsJump conditionsShock expansion theoryAerodynamic design(This article belongs to the Special Issue Adjoint-Based Techniques in Computational Fluid Dynamics: Theory and Applications)The characteristic structure of the two-dimensional adjoint Euler equations is examined. The behavior is similar to that of the original Euler equations, but with the information traveling in the opposite direction. The compatibility conditions obeyed by the adjoint variables along characteristic lines are derived. It is also shown that adjoint variables can have discontinuities across characteristics, and the corresponding jump conditions are obtained. It is shown how this information can be used to obtain exact predictions for the adjoint variables, particularly for supersonic flows. The approach is illustrated by the analysis of supersonic flow past a double-wedge airfoil, for which an analytic adjoint solution is obtained in the near-wall region. The solution is zero downstream of the airfoil and piecewise constant around it except across the expansion fan, where the adjoint variables change smoothly while remaining constant along each Mach wave within the fan.This research was funded by INTA under the grant IDATEC (IGB21001).PeerreviewMultidisciplinary Digital Publishing Institute (MDPI)Instituto Nacional de Técnica Aeroespacial (INTA)202520252025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_2df8fbb1application/pdfhttps://www.mdpi.com/2226-4310/12/6/494http://hdl.handle.net/20.500.12666/1052reponame:DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacialinstname:Instituto Nacional de Técnica Aeroespacial (INTA)InglésAttribution-NonCommercial-NoDerivatives 4.0 International© 2025 by the authors. Licensee MDPI, Basel, Switzerland.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:digital.inta.es:20.500.12666/10522026-06-23T12:46:37Z
dc.title.none.fl_str_mv On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
title On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
spellingShingle On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
Lozano, Carlos
Adjoint variables
Compressible flow
Characteristic lines
Compatibility conditions
Supersonic flow
Mach lines
Riemann invariants
Jump conditions
Shock expansion theory
Aerodynamic design
title_short On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
title_full On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
title_fullStr On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
title_full_unstemmed On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
title_sort On the Characteristic Structure of the Adjoint Euler Equations and the Analytic Adjoint Solution of Supersonic Inviscid Flows
dc.creator.none.fl_str_mv Lozano, Carlos
Ponsin Roca, Jorge
author Lozano, Carlos
author_facet Lozano, Carlos
Ponsin Roca, Jorge
author_role author
author2 Ponsin Roca, Jorge
author2_role author
dc.contributor.none.fl_str_mv Instituto Nacional de Técnica Aeroespacial (INTA)
dc.subject.none.fl_str_mv Adjoint variables
Compressible flow
Characteristic lines
Compatibility conditions
Supersonic flow
Mach lines
Riemann invariants
Jump conditions
Shock expansion theory
Aerodynamic design
topic Adjoint variables
Compressible flow
Characteristic lines
Compatibility conditions
Supersonic flow
Mach lines
Riemann invariants
Jump conditions
Shock expansion theory
Aerodynamic design
description (This article belongs to the Special Issue Adjoint-Based Techniques in Computational Fluid Dynamics: Theory and Applications)
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_2df8fbb1
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://www.mdpi.com/2226-4310/12/6/494
http://hdl.handle.net/20.500.12666/1052
url https://www.mdpi.com/2226-4310/12/6/494
http://hdl.handle.net/20.500.12666/1052
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
© 2025 by the authors. Licensee MDPI, Basel, Switzerland.
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
© 2025 by the authors. Licensee MDPI, Basel, Switzerland.
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
dc.source.none.fl_str_mv reponame:DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial
instname:Instituto Nacional de Técnica Aeroespacial (INTA)
instname_str Instituto Nacional de Técnica Aeroespacial (INTA)
reponame_str DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial
collection DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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