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Airfoil optimization by the one-shot methodAn efficient numerical approach for the design of optimal aerodynamic shapes is presented in this paper. The objective of any optimization problem is to find the optimum of a cost function subject to a certain state equation (Governing equation of the flow field) and certain side constraints. As in classical optimal control methods, the present approach introduces a costate variable (Language multiplier) to evaluate the gradient of the cost function. High efficiency in reaching the optimum solution is achieved by using a multigrid technique and updating the shape in a hierarchical manner such that smooth (low-frequency) changes are done separately from high-frequency changes. Thus, the design variables are changed on a grid where their changes produce nonsmooth (high-frequency) perturbations that can be damped efficiently by the multigrid. The cost of solving the optimization problem is approximately two to three times the cost of the equivalent analysis problem.
Document ID
19950010154
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kuruvila, G.
(Vigyan Research Associates, Inc. Hampton, VA., United States)
Taasan, Shlomo
(Institute for Computer Applications in Science and Engineering Hampton, VA., United States)
Salas, M. D.
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 6, 2013
Publication Date
November 1, 1994
Publication Information
Publication: AGARD, Optimum Design Methods for Aerodynamics
Subject Category
Aircraft Design, Testing And Performance
Accession Number
95N16569
Distribution Limits
Public
Copyright
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