Publication: Aerofoil Optimisation via AD of a Multigrid Cell-Vertex Euler Flow Solver
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Aerofoil Optimisation via AD of a Multigrid Cell-Vertex Euler Flow Solver

- incollection -
 

Area
Computational Fluid Dynamics

Author(s)
Shaun A. Forth , Trevor P. Evans

Published in
Automatic Differentiation of Algorithms: From Simulation to Optimization

Editor(s)
George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, Uwe Naumann

Year
2002

Publisher
Springer

Abstract
We report preliminary results in the use of ADIFOR 2.0 to determine aerodynamic sensitivities of a 2-D airfoil with respect to geometrical variables. Meshes are produced with a hyperbolic interpolation technique. The flow field is calculated using the cell-vertex method of Hall, which incorporates local time-stepping, mesh sequencing and multigrid. We present results and timings using both Finite Differences (FD) and Automatic Differentiation (ad). We investigate the effect of starting the perturbed calculation for FD and the derivative calculation for ad from either the current or freestream conditions and highlight the need for careful implementation of convergence criteria. We attempt to make a comparative study of ad and FD gradients in an aerofoil optimisation, using the DERA CODAS method from the perspective of DERA's eventual aim, 3D viscous optimisation of wing-body configurations.

Cross-References
Corliss2002ADo

AD Tools
ADIFOR

AD Theory and Techniques
Iteration

BibTeX
@INCOLLECTION{
         Forth2002AOv,
       author = "Shaun A. Forth and Trevor P. Evans",
       title = "Aerofoil Optimisation via AD of a Multigrid Cell-Vertex {E}uler Flow Solver",
       pages = "153--160",
       abstract = "We report preliminary results in the use of ADIFOR 2.0 to determine aerodynamic
         sensitivities of a 2-D airfoil with respect to geometrical variables. Meshes are produced with a
         hyperbolic interpolation technique. The flow field is calculated using the cell-vertex method of
         Hall, which incorporates local time-stepping, mesh sequencing and multigrid. We present results and
         timings using both Finite Differences (FD) and Automatic Differentiation (AD). We investigate the
         effect of starting the perturbed calculation for FD and the derivative calculation for AD from
         either the current or freestream conditions and highlight the need for careful implementation of
         convergence criteria. We attempt to make a comparative study of AD and FD gradients in an aerofoil
         optimisation, using the DERA CODAS method from the perspective of DERA's eventual aim, 3D
         viscous optimisation of wing-body configurations.",
       ad_theotech = "Iteration",
       ad_tools = "ADIFOR",
       chapter = "17",
       crossref = "Corliss2002ADo",
       booktitle = "Automatic Differentiation of Algorithms: From Simulation to Optimization",
       year = "2002",
       editor = "George Corliss and Christ{\`e}le Faure and Andreas Griewank and Laurent
         Hasco{\"e}t and Uwe Naumann",
       series = "Computer and Information Science",
       publisher = "Springer",
       address = "New York, NY",
       referred = "[Cappelaere2002OvH], [Haase2002OSo], [Klein2002DMf]",
       ad_area = "Computational Fluid Dynamics"
}


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