Domain versus boundary computation of flow sensitivities with the continuous adjoint method for aerodynamic shape optimization problems
Article first published online: 21 DEC 2011
Copyright © 2011 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 70, Issue 10, pages 1305–1323, 10 December 2012
How to Cite
Lozano, C., Andrés, E., Martín, M. and Bitrián, P. (2012), Domain versus boundary computation of flow sensitivities with the continuous adjoint method for aerodynamic shape optimization problems. Int. J. Numer. Meth. Fluids, 70: 1305–1323. doi: 10.1002/fld.2743
- Issue published online: 16 OCT 2012
- Article first published online: 21 DEC 2011
- Manuscript Accepted: 20 NOV 2011
- Manuscript Revised: 20 OCT 2011
- Manuscript Received: 28 JUN 2011
- aerodynamic design optimization;
- continuous adjoint methods
This paper considers the computation of flow sensitivities that arise in the context of design optimization. The scheme is based on the solution of a continuous adjoint problem, for which two complementary, although analytically equivalent, approaches have been routinely used for some time now, yielding expressions for the sensitivities that contain, respectively, boundary and domain integrals. These concepts are clarified in a unified framework and their equivalence at the continuous level is demonstrated through appropriate algebraic manipulations. Equivalence at the discrete level is assessed through numerical testing for various aerodynamic shape-optimization problems. Copyright © 2011 John Wiley & Sons, Ltd.