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Pareto-curve continuation in multi-objective optimization. (English) Zbl 1163.90742

Summary: 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.

MSC:

90C29 Multi-objective and goal programming
65K05 Numerical mathematical programming methods
49K20 Optimality conditions for problems involving partial differential equations
76N25 Flow control and optimization for compressible fluids and gas dynamics
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