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Open AccessJournal ArticleDOI

Concise Orthogonal Representation of Supercritical Airfoils

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TLDR
In this article, the authors considered the requirements of conceptual wing design with particular emphasis on the representation of airfoil sections and proposed a combination of optimization algorithms and computational fluid dynamics for the development of improved aerodynamic designs.
Abstract
The combination of optimization algorithms and computational fluid dynamics offers promise for the development of improved aerodynamic designs. Optimization strategies have a common reuirement for representation of geometry by a number of design parameters. For wing design the parameterization is generally separable into a representation of the planform and the representation of airfoil sections at a number of spanwise positions. The representation of airfoil sections is considered here with particular emphasis on the requirements of conceptual wing design.

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Citations
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Journal ArticleDOI

Universal Parametric Geometry Representation Method

TL;DR: In this article, the fundamental parametric geometry representation method is used to describe an essentially limitless design space composed entirely of analytically smooth geometries, which is then transformed into the physical space in which the actual geometry definition is obtained.
Proceedings ArticleDOI

"Fundamental" Parameteric Geometry Representations for Aircraft Component Shapes

TL;DR: The "shape function" and "class function" methodology provides a unified approach for describing rather arbitrary 2D and 3D geometries and demonstrates the versatility of this new methodology.
Journal ArticleDOI

Statistical Improvement Criteria for Use in Multiobjective Design Optimization

TL;DR: The work presented combines design of experiment methods with kriging (Gaussian process) models to enable the parallel evolution of multiobjective Pareto sets through the use of updating schemes based on new extensions of the expected improvement criterion commonly applied in single-objective searches.
Journal ArticleDOI

Design and analysis of 'noisy' computer experiments

TL;DR: This paper reviews how the kriging interpolation can be modified to filter out numerical noise and shows how to adjust the estimate of the error in a kriged prediction so that previous approaches to optimization, such as the method of maximizing the expected improvement, continue to work effectively.
Journal ArticleDOI

Optimization using surrogate models and partially converged computational fluid dynamics simulations

TL;DR: Methods for improving efficiency through the use of partially converged computational fluid dynamics results allow surrogate models to be built in a fraction of the time required for models based on converged results.
References
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Journal ArticleDOI

Aerodynamic design via control theory

TL;DR: The purpose of the last three sections is to demonstrate by representative examples that control theory can be used to formulate computationally feasible procedures for aerodynamic design, Provided, therefore, that one can afford the cost of a moderate number of flow solutions.
Journal ArticleDOI

Wing Design by Numerical Optimization

TL;DR: In this article, a study was conducted to assess the feasibility of performing computerized wing design by numerical optimization, which combined a full potential, inviscid aerodynamics code with a conjugate gradient optimization algorithm.

NASA supercritical airfoils: A matrix of family-related airfoils

TL;DR: Some of the airfoil design guidelines are discussed, and coordinates of a matrix of family related supercritical airfoils ranging from thicknesses of 2 to 18 percent and over a design lift coefficient range from 0 to 1.0 are presented.
Journal ArticleDOI

Numerical optimization design of advanced transonic wing configurations

TL;DR: In this article, a reliable and fast transonic wing flow-field analysis program, TWING, has been coupled with a modified quasi-Newton method, unconstrained optimization algorithm, QNMDIF, to create a new design tool.

Comparison of Optimization Algorithms for Aerodynamic Shape Design

TL;DR: In this article, three different optimization algorithms are applied to airfoil design and a simplified test problem is considered so that the distribution of the objective function can be plotted, revealing which optimization strategy is preferable.