A Preconditioning Method for Shape Optimization Governed by the Euler Equations

@inproceedings{Arian1998APM,
  title={A Preconditioning Method for Shape Optimization Governed by the Euler Equations},
  author={E. Arian and Veer N. Vatsa},
  year={1998}
}
  • E. Arian, Veer N. Vatsa
  • Published 1998
  • Mathematics
  • We consider a classical aerodynamic shape optimization problem subject to the compressible Euler flow equations. The gradient of the cost functional with respect to the shape variables is derived with the adjoint method at the continuous level. The Hessian (second order derivative of the cost functional with respect to the shape variables) is approximated also at the continuous level, as first introduced by Arian and Ta''asan (1996). The approximation of the Hessian is used to approximate the… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Figures and Tables from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 12 CITATIONS

    Impulse Response Approximations of Discrete Shape Hessians with Application in CFD

    VIEW 4 EXCERPTS
    CITES METHODS
    HIGHLY INFLUENCED

    A Riemannian View on Shape Optimization

    • Volker Schulz
    • Computer Science, Mathematics
    • Found. Comput. Math.
    • 2014
    VIEW 1 EXCERPT
    CITES BACKGROUND

    Shape derivatives for the compressible Navier-Stokes equations in variational form

    VIEW 1 EXCERPT
    CITES BACKGROUND

    Analytic Hessian derivation for the quasi-one-dimensional Euler equations

    VIEW 2 EXCERPTS
    CITES METHODS

    References

    Publications referenced by this paper.
    SHOWING 1-4 OF 4 REFERENCES

    TA'ASAN, Analysis of the Hessian for Aerodynamics Optimization: Inviscid Flow

    • S. E. ARIAN
    • ICASE report No. 96-28,
    • 1996

    KURUVILA, AND S. TA'ASAN, Pseudo-Time Method for Optimal Shape Design

    • G. IOLLO
    • 1995

    SALAS, Airfoil Optimization by the One-Shot Method, Optimum Design Methods in Aerodynamics, AGARD-FDP-VKI

    • KURUVILA, M.D.S. TA'ASAN
    • Special Course
    • 1994