Airfoil Design on Unstructured Grids for Turbulent Flows

1 February 1999

journal article
research article
Published by American Institute of Aeronautics and Astronautics (AIAA) in AIAA Journal

Vol. 37 (2) , 185-191
https://doi.org/10.2514/2.712

Abstract

An aerodynamic design algorithm for turbulent hows using unstructured grids is described. The current approach uses adjoint (costate) variables to obtain derivatives of the cost function, The solution of the adjoint equations is obtained by using an implicit formulation in which the turbulence model is fully coupled with the flow equations when solving for the costate variables. The accuracy of the derivatives is demonstrated by comparison with finite difference gradients, and a few sample computations are shown. Recommendations on directions of further research into the Navier-Stokes design process are made.

This publication has 20 references indexed in Scilit:

Optimum aerodynamic design using the Navier-Stokes equations
Published by American Institute of Aeronautics and Astronautics (AIAA) ,1997
Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation
Published by American Institute of Aeronautics and Astronautics (AIAA) ,1997
Three-dimensional aerodynamic shape optimization using discrete sensitivity analysis
AIAA Journal, 1996
Discrete shape sensitivity equations for aerodynamic problems
International Journal for Numerical Methods in Engineering, 1994
Exact-gradient shape optimization of a 2-D Euler flow
Finite Elements in Analysis and Design, 1992
Aerodynamic Sensitivity Analysis Methods for the Compressible Euler Equations
Journal of Fluids Engineering, 1991
Shape optimization analysis: First‐ and second‐order necessary conditions
Optimal Control Applications and Methods, 1990
Aerodynamic design via control theory
Journal of Scientific Computing, 1988
OPtimum design for potential flows
International Journal for Numerical Methods in Fluids, 1983
On optimum design in fluid mechanics
Journal of Fluid Mechanics, 1974