Finite‐difference‐based simulation and adjoint optimization of gas networks

dc.contributor.authorHossbach, Sonja
dc.contributor.authorLemke, Mathias
dc.contributor.authorReiss, Julius
dc.date.accessioned2022-06-20T10:24:02Z
dc.date.available2022-06-20T10:24:02Z
dc.date.issued2021-12-29
dc.date.updated2022-06-15T00:20:27Z
dc.description.abstractThe stable operation of gas networks is an important optimization target. While for this task commonly finite volume methods are used, we introduce a new finite difference approach. With a summation by part formulation for the spatial discretization, we get well‐defined fluxes between the pipes. This allows a simple and explicit formulation of the coupling conditions at the node. From that, we derive the adjoint equations for the network simply and transparently. The resulting direct and adjoint equations are numerically efficient and easy to implement.en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2022en
dc.description.sponsorshipDFG, 200291049, SFB 1029: TurbIn - Signifikante Wirkungsgradsteigerung durch gezielte, interagierende Verbrennungs- und Strömungsinstationaritäten in Gasturbinenen
dc.identifier.eissn1099-1476
dc.identifier.issn0170-4214
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/17130
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15909
dc.language.isoenen
dc.rightsThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
dc.rights
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc620 Ingenieurwissenschaften und zugeordnete Tätigkeitende
dc.subject.otheradjointen
dc.subject.otherfinite differencesen
dc.subject.othergas networken
dc.subject.otheroptimizationen
dc.subject.othersummation by parten
dc.titleFinite‐difference‐based simulation and adjoint optimization of gas networksen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1002/mma.8030en
dcterms.bibliographicCitation.issue7en
dcterms.bibliographicCitation.journaltitleMathematical Methods in the Applied Sciencesen
dcterms.bibliographicCitation.originalpublishernameWileyen
dcterms.bibliographicCitation.originalpublisherplaceNew York, NYen
dcterms.bibliographicCitation.pageend4055en
dcterms.bibliographicCitation.pagestart4035en
dcterms.bibliographicCitation.volume45en
tub.accessrights.dnbfreeen
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme>Inst. Strömungsmechanik und Technische Akustik (ISTA)>FG Numerische Fluiddynamikde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Numerische Fluiddynamikde
tub.affiliation.instituteInst. Strömungsmechanik und Technische Akustik (ISTA)de
tub.publisher.universityorinstitutionTechnische Universität Berlinen
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