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research-article

Adjoint-based Sensitivity Analysis for Unsteady Bladerow Interaction Using Space-Time Gradient Method

[+] Author and Article Information
Junsok Yi

CFD Methods Specialist, Physical Science - CFD Methods, Rolls-Royce plc, Derby DE24 8BJ, UK
junsok.yi@rolls-royce.com

Luigi Capone

Physical Science - CFD Methods & Civil Aerospace - Turbines Systems, Rolls-Royce plc, Derby DE24 8BJ, UK
luigi.capone@rolls-royce.com

1Corresponding author.

ASME doi:10.1115/1.4037575 History: Received January 30, 2017; Revised August 07, 2017

Abstract

The main physical mechanism driving the time dependent behaviour is the unsteady bladerow interaction as stator-rotor relative motion due to rotating frame of reference. However, unsteady effects have been ignored in design processes in common engineering practice. In fact, steady approach has been generally employed for computational fluid dynamics based turbomachinery design. Taking into account multiple time dependent phenomena, as the unsteady performance parameters variation, might be beneficial in making a further improvement on component performance. It is important to investigate the relative effect of unsteady variation, compared to the standard steady approach, and to create a capability for calculating temporal sensitivity variation, while keeping a reasonable computing cost. Present work investigates the unsteady variation of a turbomachinery performance on quasi-3D geometries: single stage turbine and single stage compressor. Then, a new computational technique to quantify temporal sensitivity variation is introduced, based on the space-time gradient method, with an extension to adjoint-based sensitivity analysis. The relation between time and space in multiplassage multirow domain is applied within the adjoint operator formulation, which gives unsteady sensitivity information on a broad range of design parameters, at the cost of a single computation. Finally, the unsteady sensitivities are compared to the ones resulting from steady solution in the two quasi-3D cases. Present work introduces a coherent and effective mathematical formulation for accounting deterministic unsteadiness on component design, while reducing computational cost compared to standard unsteady optimization techniques.

Rolls-Royce plc
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