Genetic optimization of target pressure distributions for inverse design methods

Obayashi, Shigeru; Takanashi, Susumu

doi:10.2514/3.13163

Cited by 103 publications

(47 citation statements)

References 7 publications

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“…Several techniques have been tried for carrying out aerodynamic shape optimization. Some of the methods are random search methods [1], complex Taylor series expansion approach [2], automatic differentiation method [3], direct differentiation method [4] and adjoint 356 D. N. SRINATH AND S. MITTAL based methods [5]. Among the most commonly used methods are gradient based methods in which a specified objective function is minimized or maximized with respect to design shape parameters.…”

Section: Introductionmentioning

confidence: 99%

Optimal airfoil shapes for low Reynolds number flows

Srinath

Mittal

2008

Numerical Methods in Fluids

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SUMMARYFlow over NACA 0012 airfoil is studied at = 4 • and 12 • for Re 500. It is seen that the flow is very sensitive to Re. A continuous adjoint based method is formulated and implemented for the design of airfoils at low Reynolds numbers. The airfoil shape is parametrized with a non-uniform rational B-splines (NURBS). Optimization studies are carried out using different objective functions namely: (1) minimize drag, (2) maximize lift, (3) maximize lift to drag ratio, (4) minimize drag and maximize lift and (5) minimize drag at constant lift. The effect of Reynolds number and definition of the objective function on the optimization process is investigated. Very interesting shapes are discovered at low Re. It is found that, for the range of Re studied, none of the objective functions considered show a clear preference with respect to the maximum lift that can be achieved. The five objective functions result in fairly diverse geometries. With the addition of an inverse constraint on the volume of the airfoil the range of optimal shapes, produced by different objective functions, is smaller. The non-monotonic behavior of the objective functions with respect to the design variables is demonstrated. The effect of the number of design parameters on the optimal shapes is studied. As expected, richer design space leads to geometries with better aerodynamic properties. This study demonstrates the need to consider several objective functions to achieve an optimal design when an algorithm that seeks local optima is used.

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Section: Introductionmentioning

confidence: 99%

Optimal airfoil shapes for low Reynolds number flows

Srinath

Mittal

2008

Numerical Methods in Fluids

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“…Recently, EAs have been successfully applied to single objective and multiobjective aerospace design optimization problems. [6][7][8][9][10] The objective of the present study is to make comparisons of EAs and conventional gradient-based methods to find Pareto fronts and to confirm the uniqueness of the multiobjective evolutionary algorithm (MOEA). The Multiobjective optimization algorithms are applied to analytical test problems as well as to the real-world problem of a compressor design.…”

Section: Introductionmentioning

confidence: 99%

Finding Tradeoffs by Using Multiobjective Optimization Algorithms

Obayashi

Sasaki

Oyama

2004

Trans. Japan Soc. Aero. S Sci.

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“…They have successfully been applied in engineering electromagnetics [35][36][37][38], in mechanical engineering [39,40], and been coupled with turbulent flows in earlier papers, notably in metallurgy and manufacturing processes [41][42][43]. A GA works with a population of candidate solutions which are called individuals.…”

Section: Determination Of the Laser Beam Dire-ctions By Applying A Gementioning

confidence: 99%

Genetic Algorithm Approach and Experimental Confirmation of a Laser-Based Diagnostic Technique for the Local Thermal Turbulence in a Hot Wind Tunnel Jet

Pemha¹,

Nyobe²

2011

PIER B

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Abstract-This paper is devoted to a laser-based diagnostic technique described as a method for solving an applied inverse problem in turbulent media using laser beam propagation. This problem consists of extracting local information about temperature fluctuations inside a hot turbulent jet of air, from the luminous photodiode trace produced by a laser beam, after having traversed the jet. A genetic algorithm is implemented in order to calculate the optimized laser beam directions corresponding to the whole luminous trace. An approximated ray equation which is proved from the geometrical optics is solved numerically by using those directions and enables to determine the variance of temperature fluctuations along the whole path of the laser beam. A good agreement coming from the comparison between the results obtained and the published experimental data proves the validity of the method.

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Genetic optimization of target pressure distributions for inverse design methods

Cited by 103 publications

References 7 publications

Optimal airfoil shapes for low Reynolds number flows

Optimal airfoil shapes for low Reynolds number flows

Finding Tradeoffs by Using Multiobjective Optimization Algorithms

Genetic Algorithm Approach and Experimental Confirmation of a Laser-Based Diagnostic Technique for the Local Thermal Turbulence in a Hot Wind Tunnel Jet

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