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Forced response sensitivity analysis using an adjoint harmonic balance solver

Engels-Putzka, Anna and Backhaus, Jan and Frey, Christian (2018) Forced response sensitivity analysis using an adjoint harmonic balance solver. In: Proceedings of the ASME Turbo Expo. American Society of Mechanical Engineers. ASME Turbo Expo 2018, 11-15 Jun 2018, Oslo, Norway.

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Abstract

This paper describes the development and initial application of an adjoint harmonic balance solver. The harmonic balance method is a numerical method formulated in the frequency domain which is particularly suitable for the simulation of periodic unsteady flow phenomena in turbomachinery. Successful applications of this method include unsteady aerodynamics as well as aeroacoustics and aeroelasticity. Here we focus on forced response due to the interaction of neighboring blade rows. In the CFD-based design and optimization of turbomachinery components it is often helpful to be able to compute not only the objective values -- e.g. performance data of a component -- themselves, but also their sensitivities with respect to variations of the geometry. An efficient way to compute such sensitivities for a large number of geometric changes is the application of the adjoint method. While this is frequently used in the context of steady CFD, it becomes prohibitively expensive for unsteady simulations in the time domain. For unsteady methods in the frequency domain, the use of adjoint solvers is feasible, but still challenging. The present approach employs the reverse mode of algorithmic differentiation (AD) to construct a discrete adjoint of an existing harmonic balance solver in the framework of an industrially applied CFD code. The paper discusses implementational issues as well as the performance of the adjoint solver, in particular regarding memory requirements. The presented method is applied to compute the sensitivities of aeroelastic objectives with respect to geometric changes in a turbine stage.

Item URL in elib:https://elib.dlr.de/120574/
Document Type:Conference or Workshop Item (Speech)
Title:Forced response sensitivity analysis using an adjoint harmonic balance solver
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Engels-Putzka, AnnaAnna.Engels-Putzka (at) dlr.deUNSPECIFIED
Backhaus, Janjan.backhaus (at) dlr.dehttps://orcid.org/0000-0003-1951-3829
Frey, ChristianChristian.Frey (at) dlr.deUNSPECIFIED
Date:2018
Journal or Publication Title:Proceedings of the ASME Turbo Expo
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Publisher:American Society of Mechanical Engineers
Status:Published
Keywords:Adjoint Method, Algorithmic Differentiation, Harmonic Balance, Turbomachinery, Aeroelasticity, Forced Response
Event Title:ASME Turbo Expo 2018
Event Location:Oslo, Norway
Event Type:international Conference
Event Dates:11-15 Jun 2018
Organizer:ASME International Gas Turbine Institute
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods
Location: Köln-Porz
Institutes and Institutions:Institute of Propulsion Technology > Numerical Methodes
Deposited By: Engels-Putzka, Anna
Deposited On:25 Jun 2018 07:15
Last Modified:27 Jun 2018 12:27

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