Adjoint Process Chain for Forced Response Analysis Using a Harmonic Balance Method

Engels-Putzka, Anna; Frey, Christian

doi:10.29008/etc2017-161

Cited by 2 publications

References 19 publications

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Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

Engels-Putzka¹,

Backhaus

Frey

2019

Journal of Turbomachinery

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This paper describes the development and initial application of an adjoint harmonic balance (HB) solver. The HB 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 simulation-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 computational fluid dynamics (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 HB 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.

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Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

Engels-Putzka¹,

Backhaus

Frey

2019

Journal of Turbomachinery

View full text Add to dashboard Cite

show abstract

Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

Engels-Putzka

Backhaus

Frey

2018

Volume 2C: Turbomachinery

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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 implemen-tational 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.

show abstract

Adjoint Process Chain for Forced Response Analysis Using a Harmonic Balance Method

Cited by 2 publications

References 19 publications

Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

Forced Response Sensitivity Analysis Using an Adjoint Harmonic Balance Solver

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