Domain versus boundary computation of flow sensitivities with the continuous adjoint method for aerodynamic shape optimization problems

Authors

  • Carlos Lozano,

    Corresponding author
    • Área de Dinámica de Fluidos, Departamento de Aerodinámica y Propulsión, Instituto Nacional de Técnica Aeroespacial (INTA), Torrejón de Ardoz, Spain
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  • Esther Andrés,

    1. Área de Dinámica de Fluidos, Departamento de Aerodinámica y Propulsión, Instituto Nacional de Técnica Aeroespacial (INTA), Torrejón de Ardoz, Spain
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  • Mario Martín,

    1. Área de Dinámica de Fluidos, Departamento de Aerodinámica y Propulsión, Instituto Nacional de Técnica Aeroespacial (INTA), Torrejón de Ardoz, Spain
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  • Pablo Bitrián

    1. Área de Dinámica de Fluidos, Departamento de Aerodinámica y Propulsión, Instituto Nacional de Técnica Aeroespacial (INTA), Torrejón de Ardoz, Spain
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C. Lozano, Área de dinámica de fluidos, Instituto Nacional de Técnica Aeroespacial, Carretera de Ajalvir, Km. 4. 28850, Torrejón de Ardoz, Spain.

E-mail: lozanorc@inta.es

SUMMARY

This paper considers the computation of flow sensitivities that arise in the context of design optimization. The scheme is based on the solution of a continuous adjoint problem, for which two complementary, although analytically equivalent, approaches have been routinely used for some time now, yielding expressions for the sensitivities that contain, respectively, boundary and domain integrals. These concepts are clarified in a unified framework and their equivalence at the continuous level is demonstrated through appropriate algebraic manipulations. Equivalence at the discrete level is assessed through numerical testing for various aerodynamic shape-optimization problems. Copyright © 2011 John Wiley & Sons, Ltd.

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