Adjoint-based aerodynamic shape optimization on unstructured meshes

G. Carpentieri, B. Koren, M.J.L. Tooren, van

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    Abstract

    In this paper, the exact discrete adjoint of an unstructured finite-volume formulation of the Euler equations in two dimensions is derived and implemented. The adjoint equations are solved with the same implicit scheme as used for the flow equations. The scheme is modified to efficiently account for multiple functionals simultaneously. An optimization framework, which couples an analytical shape parameterization to the flow/adjoint solver and to algorithms for constrained optimization, is tested on airfoil design cases involving transonic as well as supersonic flows. The effect of some approximations in the discrete adjoint, which aim at reducing the complexity of the implementation, is shown in terms of optimization results rather than only in terms of gradient accuracy. The shape-optimization method appears to be very efficient and robust.
    Original languageEnglish
    Pages (from-to)267-287
    JournalJournal of Computational Physics
    Volume224
    Issue number1
    DOIs
    Publication statusPublished - 2007

    Fingerprint

    shape optimization
    Shape optimization
    aerodynamics
    mesh
    Aerodynamics
    Supersonic flow
    Euler equations
    Constrained optimization
    Parameterization
    Airfoils
    optimization
    transonic flow
    supersonic flow
    flow equations
    airfoils
    parameterization
    functionals
    formulations
    gradients
    approximation

    Cite this

    Carpentieri, G. ; Koren, B. ; Tooren, van, M.J.L. / Adjoint-based aerodynamic shape optimization on unstructured meshes. In: Journal of Computational Physics. 2007 ; Vol. 224, No. 1. pp. 267-287.
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    Adjoint-based aerodynamic shape optimization on unstructured meshes. / Carpentieri, G.; Koren, B.; Tooren, van, M.J.L.

    In: Journal of Computational Physics, Vol. 224, No. 1, 2007, p. 267-287.

    Research output: Contribution to journalArticleAcademicpeer-review

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