This article describes how to extend the dsicrete adjoint method to functionals that are evaluated on arbitrary rotational control surfaces that intersect the flow domain at a position specified by the user, e.g. the pressure loss coefficient of a single blade in a multi-stage configuration. The definition and implementation of the mixed-out states on such surfaces is revisited. The calculation of the corresponding right-hand sides in the adjoint system is explained. These techniques can be used to specify functionals that quantify the deviation of the radial distribution of the flow angles, relative mass flow, etc. from a given target distribution. Sensitivity studies using the conventional approach, i.e. by means of finite differences of many steady solutions, are compared to results based on the adjoint method. The applications demonstrate that the agreement between adjoint and conventional sensitivity predictions is excellent, if the exact definition of the surface functionals is taken into account.
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ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition
June 6–10, 2011
Vancouver, British Columbia, Canada
Conference Sponsors:
- International Gas Turbine Institute
ISBN:
978-0-7918-5467-9
PROCEEDINGS PAPER
Adjoint-Based Flow Sensitivity Analyis Using Arbitrary Control Surfaces
Christian Frey,
Christian Frey
German Aerospace Center (DLR), Cologne, Germany
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Graham Ashcroft,
Graham Ashcroft
German Aerospace Center (DLR), Cologne, Germany
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Jan Backhaus,
Jan Backhaus
German Aerospace Center (DLR), Cologne, Germany
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Edmund Ku¨geler,
Edmund Ku¨geler
German Aerospace Center (DLR), Cologne, Germany
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Jens Wellner
Jens Wellner
German Aerospace Center (DLR), Cologne, Germany
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Christian Frey
German Aerospace Center (DLR), Cologne, Germany
Graham Ashcroft
German Aerospace Center (DLR), Cologne, Germany
Jan Backhaus
German Aerospace Center (DLR), Cologne, Germany
Edmund Ku¨geler
German Aerospace Center (DLR), Cologne, Germany
Jens Wellner
German Aerospace Center (DLR), Cologne, Germany
Paper No:
GT2011-45041, pp. 1067-1076; 10 pages
Published Online:
May 3, 2012
Citation
Frey, C, Ashcroft, G, Backhaus, J, Ku¨geler, E, & Wellner, J. "Adjoint-Based Flow Sensitivity Analyis Using Arbitrary Control Surfaces." Proceedings of the ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. Volume 7: Turbomachinery, Parts A, B, and C. Vancouver, British Columbia, Canada. June 6–10, 2011. pp. 1067-1076. ASME. https://doi.org/10.1115/GT2011-45041
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