Citation:
Shaun A Forth & Trevor P Evans; Aerofoil Optimisation via AD of a Multigrid
Cell-Vertex Euler Flow Solver. Automatic Differentiation of Algorithms: From
Simulation to Optimization, George Corliss, Christele Faure, Andreas Griewank,
Laurent Hascoet, and Uwe Naumann (eds.) Springer-Verlag, New York, 2002, pp153-
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.