2009
DOI: 10.1002/fld.2067
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High‐fidelity aerodynamic shape optimization of modern transport wing using efficient hierarchical parameterization

Abstract: SUMMARYAerodynamic shape optimization technology is presented, using an efficient domain element parameterization approach. This provides a method that allows geometries to be parameterized at various levels, ranging from gross three-dimensional planform alterations to detailed local surface changes. Design parameters control the domain element point locations and, through efficient global interpolation functions, deform both the surface geometry and corresponding computational fluid dynamics volume mesh, in a… Show more

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Cited by 21 publications
(11 citation statements)
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“…Some examples are Hicks-Henne bump functions, 20 surface mesh points, 1 B-slines, 21,22 Class function / Shape function Transformation (CST), 23 Radial Basis Functions. 17,18 For detailed surveys of shape parameterization, readers are referred to a paper by Samareh, 24 Mousavi et al, 25 and Castonguay et al 26 B-spline surfaces are used in this work because the parameterization is inherently smooth, wing-body geometries can be represented by a collection of individual B-spline patches, and the optimized design can be easily exported to a CAD file (.iges) for manufacturing purposes. General theory of B-splines can be found in The NURBS Book .…”
Section: Parameterizationmentioning
confidence: 99%
See 1 more Smart Citation
“…Some examples are Hicks-Henne bump functions, 20 surface mesh points, 1 B-slines, 21,22 Class function / Shape function Transformation (CST), 23 Radial Basis Functions. 17,18 For detailed surveys of shape parameterization, readers are referred to a paper by Samareh, 24 Mousavi et al, 25 and Castonguay et al 26 B-spline surfaces are used in this work because the parameterization is inherently smooth, wing-body geometries can be represented by a collection of individual B-spline patches, and the optimized design can be easily exported to a CAD file (.iges) for manufacturing purposes. General theory of B-splines can be found in The NURBS Book .…”
Section: Parameterizationmentioning
confidence: 99%
“…Therefore, it would be difficult to implement with an adjoint-based optimizer since the mesh sensitivities are not known a priori. Another approach to reduce the cost of RBFs is proposed by Morris et al 17,18 by integrating both the parameterization and the mesh movement scheme with the use of RBFs in a free-form deformation of the geometry. Although this method is fast, robust and efficient, it is restricted to a parameterization via RBFs; thus it is incompatible with other forms of parameterization such as B-splines.…”
Section: Introductionmentioning
confidence: 99%
“…Continuous shape functions are used to describe geometry such that the number of design variables is much less than the number of mesh nodes B-Spline surfaces [5] Bezier surfaces [6] Volume splines: Bezier [7], B-Spline [8], RBF [9] Hicks-Henne [2] CSTs [10] Fictitious loads [11] SVD [12] Multilevel optimisation Successive optimisations are performed where shape control is refined after each stage Subdivision [13,14] B-Spline/Bezier knot insertion [15] RBF [16] Sensitivity filtering Mesh vertices are used for shape control and surface sensitivities are filtered to remove high frequency components…”
Section: Shape Parameterisationmentioning
confidence: 99%
“…Among previous studies it is common for the parameterisation to be manually constrained such that only one ordinate is free to move [36], or that certain degrees of freedom (e.g. sweep, taper) are specified by hand [9], or combinations of both [37]. The parameterisation of a single coordinate, thickness, for aerofoils is convenient and commonly adopted since aerofoils are predominantly planar such that most of the surface normals are closely aligned with the vertical coordinate.…”
Section: A Motivationmentioning
confidence: 99%
“…Although the original method was computationally expensive, many have contributed to improve its efficiency [35,55,56,67,71,72]. Despite the author's knowledge of these improvements, the method used in this work is the original approach, modified by Walther [88] for parallel computations.…”
Section: Dynamic Mesh Deformation For Aeroelastic Solutionsmentioning
confidence: 99%