Shape Parametrization Using Freeform Deformation

Ronzheimer, A.

doi:10.1007/3-540-32382-1_15

Cited by 6 publications

(4 citation statements)

References 4 publications

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“…The validation included the gradients of drag and lift, and was performed at Mach number of 0.84 and an angle of attack of 0.6 degree. The wing is described using 60 design variables that are defined by the free form deformation technique [7]. 36 design variables were used to evaluate the gradients, Figure 2 presents the evaluation for drag and lift respectively.…”

Section: Resultsmentioning

confidence: 99%

Development of the Adjoint Approach for Aeroelastic Wing Optimization

Abu-Zurayk¹,

Brézillon²

2013

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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In the context of gradient-based optimization techniques for multidisciplinary problems an efficient approach was sought to evaluate the gradient of the cost function with respect to the design variables; also called the sensitivities. The traditional approach to calculate the sensitivities, the finite differences, can become prohibitively expensive in high-fidelity optimizations. For this reason an existing adjoint approach was suggested to be further developed in order to suit coupled aero-structural systems. Then the developed approach was evaluated and tested. The results showed that the approach can provide accurate sensitivities in a very efficient way.

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Section: Resultsmentioning

confidence: 99%

Development of the Adjoint Approach for Aeroelastic Wing Optimization

Abu-Zurayk¹,

Brézillon²

2013

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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“…The number of control points and their displacements are dependent upon the geometry and the deformation zone. In Equation ( 1), the Newton's method is used to map the parameter space into physical space, while the embedded object, which is inside a cartesian space, is mapped into the initial tri-variate B-spline volume [35]:…”

Section: Methodology 21 Ffd Parameterization Techniquementioning

confidence: 99%

Free-Form Deformation Parameterization on the Aerodynamic Optimization of Morphing Trailing Edge

2023

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Every aerodynamic optimization is proceeded by a parameterization of the studied aerial object, and due to its influence on the final optimization process, careful attention should be made in choosing the appropriate parameterization method. An aerodynamic optimization of a morphing trailing edge is performed using a free-form deformation parameterization technique with the purpose of examining the influence of the initial conditions of the parameterization on the optimization results, namely on the number of control points. High-fidelity gradient-based optimization using the discrete adjoint method is established by the coupling of OpenFOAM and Python within the DAFoam optimization framework. The results indicate that the number of control points has a considerable effect on the optimization process, in particular on the convergence, objective function value, and on the deformation feasibility.

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“…In aerodynamic shape optimization methods based on FFD have been applied to the design of rotor blades, 14, 15 wings, 13,16,9,17,18,19 Blended-Wing-Body 20 and supersonic 13, 21, 22 aircraft design. The capability to deform volumes also makes FFD a suitable candidate for grid deformation 23,17,24 and for aerostructural applications.…”

Section: A Backgroundmentioning

confidence: 99%

A numerical study of adaptive FFD in aerodynamic shape optimization

Amoignon

Hradil

Navrátil

2014

52nd Aerospace Sciences Meeting

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This work presents a Free Form Deformation (FFD) method for shape parameterization and applications on aerodynamic aircraft design. Our objective is to accurately resolve problems of shape optimization including geometric constraints. Here we couple an FFD based on NURBS with a Radial Basis Function (RBF) in order to improve the control of the deformations and enable a more accurate resolution of constraints even when using a coarse lattice. Our investigations also focus on efficiency, showing for instance that the highest NURBS degree improve the resolution of the optimization problem when the solution is a smooth shape in 2D without influencing the cost of optimization. This indicates a mean to avoid wiggles in shapes deformed by FFD without deteriorating the condition of the problem. Other applications in 2D and 3D also illustrate the behaviour of the FFD parameterization when refining or adapting the position of the lattice vertices.

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Shape Parametrization Using Freeform Deformation

Cited by 6 publications

References 4 publications

Development of the Adjoint Approach for Aeroelastic Wing Optimization

Development of the Adjoint Approach for Aeroelastic Wing Optimization

Free-Form Deformation Parameterization on the Aerodynamic Optimization of Morphing Trailing Edge

A numerical study of adaptive FFD in aerodynamic shape optimization

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