GivEn—Shape Optimization for Gas Turbines in Volatile Energy Networks

Backhaus, Jan O.; Bolten, Matthias; Tanil, Doganay, Onur; Ehrhardt, Matthias; Engel, Benedikt; Frey, Christian; Gottschalk, Hanno; Günther, Michael; Hahn, Camilla; Jäschke, Jens; Jaksch, Péter; Klamroth, Kathrin; Liefke, Alexander; Luft, Daniel; Mäde, Lucas; Marciniak, Vincent; Reese, Marco; Schultes, Johanna; Schulz, Volker; Schmitz, Sebastian; Steiner, Johannes; Stiglmayr, Michael

doi:10.1007/978-3-030-62732-4_4

Cited by 3 publications

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“…While there is an almost overwhelming amount of engineering research and development, surprisingly little has been conducted on the mathematics for gas turbines. A mathematical approach to the turbine blade design is being attempted as part of the GivEn project [1], which aims to combine multiphysics simulations with multicriteria shape optimization.…”

Section: Introductionmentioning

confidence: 99%

“…1 (Ω m ) denotes the classical Sobolev space and H(div) consists of all functions f in L 2 (Ω m ), which are weakly differentiable with divf ∈ L 2 (Ω m ) and f • n| ∂Ω m ∈ L 2 (∂Ω m ).Since our model system from Section 2 has different boundary conditions on different parts of the boundary, we first split the single boundary port into two ports, one each for ∂Ω ext and ∂Ω c , giving us…”

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confidence: 99%

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A Two-Dimensional port-Hamiltonian Model for Coupled Heat Transfer

et al. 2022

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In this paper, we construct a highly simplified mathematical model for studying the problem of conjugate heat transfer in gas turbine blades and their cooling ducts. Our simple model focuses on the relevant coupling structures and aims to reduce the unrelated complexity as much as possible. Then, we apply the port-Hamiltonian formalism to this model and its subsystems and investigate the interconnections. Finally, we apply a simple spatial discretization to the system to investigate the properties of the resulting finite-dimensional Port-Hamiltonian system and to determine whether the order of coupling and discretization affect the resulting semi-discrete system.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%