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Main Title: Finite‐difference‐based simulation and adjoint optimization of gas networks
Author(s): Hossbach, Sonja
Lemke, Mathias
Reiss, Julius
Type: Article
Abstract: The 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.
Subject(s): adjoint
finite differences
gas network
summation by part
Issue Date: 29-Dec-2021
Date Available: 20-Jun-2022
Language Code: en
DDC Class: 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2022
DFG, 200291049, SFB 1029: TurbIn - Signifikante Wirkungsgradsteigerung durch gezielte, interagierende Verbrennungs- und Strömungsinstationaritäten in Gasturbinen
Journal Title: Mathematical Methods in the Applied Sciences
Publisher: Wiley
Volume: 45
Issue: 7
Publisher DOI: 10.1002/mma.8030
Page Start: 4035
Page End: 4055
EISSN: 1099-1476
ISSN: 0170-4214
TU Affiliation(s): Fak. 5 Verkehrs- und Maschinensysteme » Inst. Strömungsmechanik und Technische Akustik (ISTA) » FG Numerische Fluiddynamik
Appears in Collections:Technische Universität Berlin » Publications

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