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# Newton – Krylov Algorithm for Aerodynamic Design Using the Navier – Stokes Equations

@inproceedings{Nemec2002NewtonK, title={Newton – Krylov Algorithm for Aerodynamic Design Using the Navier – Stokes Equations}, author={Marian Nemec and David W. Zingg}, year={2002} }

- Published 2002

A Newton–Krylov algorithm is presented for two-dimensional Navier–Stokes aerodynamic shape optimization problems. The algorithm is applied to both the discrete-adjoint and the discrete ow-sensitivity methods for calculating the gradient of the objective function. The adjoint and ow-sensitivity equations are solved using a novel preconditioned generalized minimum residual (GMRES) strategy. Together with a complete linearization of the discretized Navier–Stokes and turbulence model equations… CONTINUE READING