Publication: Automatic differentiation of an entire design chain with applications
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Automatic differentiation of an entire design chain with applications

- Part of a collection -
 

Area
Computational Fluid Dynamics

Author(s)
N. Gauger , A. Walther , C. Moldenhauer , M. Widhalm

Published in
New Results in Numerical and Experimental Fluid Mechanics VI

Editor(s)
C. Tropea et al.

Year
2007

Publisher
Springer

Abstract
Detailed numerical shape optimization will play a strategic role for future aircraft design. It offers the possibility of designing or improving aircraft components with respect to a pre-specified figure of merit. Optimization methods based on exact derivatives of the cost function with respect to the design variables still suffer from the high computational costs if many design variables are used. However, these gradients can be efficiently obtained by the solution of so-called adjoint flow equations. Furthermore, it is possible to derive these adjoint solvers in an automated fashion by the use of so-called automatic differentiation (ad) tools. In the present paper the efficient and automated differentiation of an entire design chain, including the flow solver, is presented. As test case for ad-generated adjoint sensitivity calculations an inviscid RAE2822 airfoil is chosen under transonic flight conditions for drag reduction.

AD Tools
ADOL-C

AD Theory and Techniques
Adjoint

BibTeX
@INPROCEEDINGS{
         Gauger2007Ado,
       title = "Automatic differentiation of an entire design chain with applications",
       author = "N. Gauger, A. Walther, C. Moldenhauer and M. Widhalm",
       editor = "C. Tropea et al.",
       publisher = "Springer",
       year = "2007",
       booktitle = "New Results in Numerical and Experimental Fluid Mechanics VI",
       series = "Notes on Numerical Fluid Mechanics and Multidisciplinary Design",
       pages = "454--461",
       abstract = "Detailed numerical shape optimization will play a strategic role for future
         aircraft design. It offers the possibility of designing or improving aircraft components with
         respect to a pre-specified figure of merit. Optimization methods based on exact derivatives of the
         cost function with respect to the design variables still suffer from the high computational costs if
         many design variables are used. However, these gradients can be efficiently obtained by the solution
         of so-called adjoint flow equations. Furthermore, it is possible to derive these adjoint solvers in
         an automated fashion by the use of so-called automatic differentiation (AD) tools. In the present
         paper the efficient and automated differentiation of an entire design chain, including the flow
         solver, is presented. As test case for AD-generated adjoint sensitivity calculations an inviscid
         RAE2822 airfoil is chosen under transonic flight conditions for drag reduction.",
       ad_area = "Computational Fluid Dynamics",
       ad_tools = "ADOL-C",
       ad_theotech = "Adjoint"
}


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