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| Volume 4, Number 2, May 2008, pp. 243-257 | |||||||
| Stephan Schmidt and Volker Schulz | |||||||
| Key words: | |||||||
| curve continuation, Pareto-optimality, multi-objective design, one-shot-optimization, shape optimization, SQP | |||||||
| Mathematices Subject Classification: 90C29, 65K05, 49K20, 76N25 | |||||||
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| Abstract: | |||
| Aerodynamic shape optimization usually aims at optimizing a single design objective. This often means a drag or noise reduction given a constant lift or pitching moment. By re-formulating the constraints as additional objective functions, one can embed this scenario into a multi-objective design approach, which results in a set of indifference points between the cost functions. A potential designer can then choose from a variety of equally suitable solutions. In this paper, we explore curve continuation strategies for finding the indifference curve exemplified by an inviscid lift/drag optimization of the RAE2822 airfoil. Special attention is given to approaches that work well with a given SQP solver for the single objective problem. Different parametrizations of the curve are also studied. |
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| Pareto-curve continuation in multi-objective optimization |
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