This paper presents the development of a robust discrete adjoint approach for accurate computation of shape sensitivities in three-dimensional inviscid compressible flows. The adjoint Euler solver is generated by applying algorithmic differentiation techniques to the underlying primal solver. The novelty of the proposed framework is that the geometry subroutine that computes cell volumes, surface areas and normals is integrated to the subroutine that performs the primal fixed point scheme so that the adjoint code directly yields the desired shape sensitivities. The applicability of the developed adjoint approach is demonstrated on ONERA-M6 wing test case. The consistency and accuracy of the adjoint solver are assessed by comparing the adjoint shape sensitivities with the values from finite differences and tangent linear code. Numerical results show that the adjoint residual inherits the asymptotic rate of convergence of the primal residual.


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    Title :

    An Adjoint Approach for Accurate Shape Sensitivities in 3D Compressible Flows


    Additional title:

    Lect.Notes Mechanical Engineering




    Publication date :

    2021-03-19


    Size :

    15 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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