Efficient mesh motion using radial basis functions with data reduction algorithms

Rendall, Thomas; Allen, Christian B

doi:10.1016/j.jcp.2009.05.013

Cited by 246 publications

(122 citation statements)

References 33 publications

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“…The parameterization technique, surface control and volume mesh deformation all use radial basis functions (RBFs), wherein global interpolation is used to provide direct control of the design surface and the CFD mesh, which is deformed in a high-quality fashion [52,53].…”

Section: Iiib Shape Controlmentioning

confidence: 99%

Global Optimization of Wing Aerodynamic Optimization Case Exhibiting Multimodality

Poole

Allen

Rendall

2018

Journal of Aircraft

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An investigation into an aerodynamic optimization benchmark case that exhibits multimodality is presented using a global optimization approach. The recently suggested case 6 of the AIAA Aerodynamic Design Optimization Discussion Group involves the drag minimization of a rectangular NACA0012 wing subject to lift and root bending moment, as well as other geometric constraints. In this paper, optimization of that case using a state-of-the-art constrained population-based global optimization framework is presented.Shape control is achieved via a hierarchical application of the radial basis function domain element approach. Three different fidelity of optimization cases are performed to investigate the multimodality of various aspects of the full problem, with four independent runs of each case being performed. When considering chord optimization, the optimizer converges to two independently identifiable minima with very similar performance. When adding dihedral and sweep variation, further multimodality is introduced, though this multimodality is reasonably well defined, with minima including forward and rearward sweep, and an upward and downward winglet. Introducing thickness variables leads to a highly multimodal problem due to the coupling between the chord and thickness variables. The theoretical minimum drag for this case is 24.7 counts, which a number of the runs get close to achieving.

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Section: Iiib Shape Controlmentioning

confidence: 99%

Global Optimization of Wing Aerodynamic Optimization Case Exhibiting Multimodality

Poole

Allen

Rendall

2018

Journal of Aircraft

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“…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%

Three-Dimensional Aeroelastic Solutions via the Nonlinear Frequency-Domain Method

Tardif

Nadarajah

2017

AIAA Journal

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“…A multivariate interpolation scheme using the Radial Basis Functions (RBF) [23,24] is implemented for the fluid-structure interpolation and mesh motion. This scheme allows an arbitrary deformation to be represented to within a desired tolerance by using a significantly reduced set of surface points intelligently identified in a fashion that minimizes the error in the interpolated surface.…”

Section: Three-dimensional Interpolation Between Cfd and Csdmentioning

confidence: 99%

An airplane jig shape design method based on high fidelity aeroelastic simulation

Yang

Wang

Zhou

et al. 2015

Aerospace Science and Technology

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This paper develops a jig-shape design method for the elastic wing of the commercial aircraft with high aspect ratio. Two optimization steps are involved in the design method to optimize the jig shape of the elastic wing with the user-desired cruise aerodynamic performance. The real aeroelastic simulation becomes the fundamental of the design procedure. Structural mesh based CFD solver has been applied to simulate the transonic flow with high fidelity. Finite element based structural model of wing with complex configuration is constructed, and the flexibility matrix is evaluated to predict the deflection of the wing. The high-efficient mesh deformation technique and the data exchange interface between CFD and CSD are implemented, which improves the efficiency and accuracy of current approach. The jig shape design of a baseline commercial aircraft is presented, and the numerical simulation shows that the design method is strong enough to obtain the optimized jig shape efficiently.

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Efficient mesh motion using radial basis functions with data reduction algorithms

Cited by 246 publications

References 33 publications

Global Optimization of Wing Aerodynamic Optimization Case Exhibiting Multimodality

Global Optimization of Wing Aerodynamic Optimization Case Exhibiting Multimodality

Three-Dimensional Aeroelastic Solutions via the Nonlinear Frequency-Domain Method

An airplane jig shape design method based on high fidelity aeroelastic simulation

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