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dc.rights.license© 2023 by the authors. Licensee MDPI, Basel, Switzerland.es
dc.contributor.authorLozano, Carloses
dc.contributor.authorPonsin, J.es
dc.date.accessioned2023-12-04T10:17:51Z-
dc.date.available2023-12-04T10:17:51Z-
dc.date.issued2023-03-10-
dc.identifier.citationAerospace 10(3): 267(2023)es
dc.identifier.otherhttps://www.mdpi.com/2226-4310/10/3/267es
dc.identifier.urihttp://hdl.handle.net/20.500.12666/910-
dc.description(This article belongs to the Special Issue Adjoint Method for Aerodynamic Design and Other Applications in CFD). © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).es
dc.description.abstractThis paper considers the formulation of the adjoint problem in two dimensions when there are shocks in the flow solution. For typical cost functions, the adjoint variables are continuous at shocks, wherein they have to obey an internal boundary condition, but their derivatives may be discontinuous. The derivation of the adjoint shock equations is reviewed and detailed predictions for the behavior of the gradients of the adjoint variables at shocks are obtained as jump conditions for the normal adjoint gradients in terms of the tangent gradients. Several numerical computations on a very fine mesh are used to illustrate the behavior of numerical adjoint solutions at shocks.es
dc.description.sponsorshipThe research described in this paper has been supported by INTA and the Ministry of Defence of Spain under the grants Termofluidodinámica (IGB99001) and IDATEC (IGB21001). The numerical computations reported in the paper have been carried out with the SU2 code, an open-source platform developed and maintained by the SU2 Foundation.es
dc.language.isoenges
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/es
dc.subjectAdjoint euler equationses
dc.subjectShockses
dc.subjectNormal derivativeses
dc.titleShock equations and jump conditions for the 2D adjoint euler equationses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.3390/aerospace10030267-
dc.identifier.e-issn2226-4310-
dc.contributor.funderInstituto Nacional de Técnica Aeroespacial (INTA)es
dc.description.peerreviewedPeerreviewes
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.type.coarhttp://purl.org/coar/resource_type/c_6501es
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