Title :
Issues in shape optimization for the Navier-Stokes equations
Author :
Gunzburger, Max D. ; Peterson, Janet S.
Author_Institution :
Interdisciplinary Center for Appl. Math., Blacksburg, VA, USA
Abstract :
Sensitivity based methods for shape optimization of fluid flow governed by the Navier-Stokes equations are considered. The crucial components of an algorithm for this task are the proper parametrization of the boundary, the efficient calculation of the sensitivities with respect to the boundary parameters, the selection of a good optimization algorithm, and an efficient scheme for state calculations. Some of these issues are discussed, together with pitfalls and potential solutions
Keywords :
Navier-Stokes equations; optimisation; Navier-Stokes equations; boundary parametrization; fluid flow; sensitivity-based methods; shape optimization; Algorithm design and analysis; Automotive components; Design optimization; Drag; Fluid flow; Fluid flow control; Mathematics; Navier-Stokes equations; Optimization methods; Shape;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371009