Enabling of Large Scale Aerodynamic Shape Optimization Through POD-Based Reduced-Order Modeling and Free Form Deformation

2018 ◽  
pp. 49-63
Author(s):  
A. Scardigli ◽  
R. Arpa ◽  
A. Chiarini ◽  
H. Telib
Keyword(s):  
Shape Optimization ◽  
Large Scale ◽  
Reduced Order Modeling ◽  
Free Form ◽  
Aerodynamic Shape Optimization ◽  
Reduced Order ◽  
Aerodynamic Shape ◽  
Free Form Deformation

scholarly journals A Sequential Approach for Aerodynamic Shape Optimization with Topology Optimization of Airfoils

2021 ◽  
Vol 26 (2) ◽  
pp. 34
Author(s):  
Isaac Gibert Martínez ◽  
Frederico Afonso ◽  
Simão Rodrigues ◽  
Fernando Lau
Keyword(s):  
Topology Optimization ◽  
Shape Optimization ◽  
Volume Fraction ◽  
Optimization Techniques ◽  
Free Form ◽  
Aerodynamic Shape Optimization ◽  
Sequential Approach ◽  
Airfoil Surface ◽  
Aerodynamic Shape ◽  
Design Variables

The objective of this work is to study the coupling of two efficient optimization techniques, Aerodynamic Shape Optimization (ASO) and Topology Optimization (TO), in 2D airfoils. To achieve such goal two open-source codes, SU2 and Calculix, are employed for ASO and TO, respectively, using the Sequential Least SQuares Programming (SLSQP) and the Bi-directional Evolutionary Structural Optimization (BESO) algorithms; the latter is well-known for allowing the addition of material in the TO which constitutes, as far as our knowledge, a novelty for this kind of application. These codes are linked by means of a script capable of reading the geometry and pressure distribution obtained from the ASO and defining the boundary conditions to be applied in the TO. The Free-Form Deformation technique is chosen for the definition of the design variables to be used in the ASO, while the densities of the inner elements are defined as design variables of the TO. As a test case, a widely used benchmark transonic airfoil, the RAE2822, is chosen here with an internal geometric constraint to simulate the wing-box of a transonic wing. First, the two optimization procedures are tested separately to gain insight and then are run in a sequential way for two test cases with available experimental data: (i) Mach 0.729 at α=2.31°; and (ii) Mach 0.730 at α=2.79°. In the ASO problem, the lift is fixed and the drag is minimized; while in the TO problem, compliance minimization is set as the objective for a prescribed volume fraction. Improvements in both aerodynamic and structural performance are found, as expected: the ASO reduced the total pressure on the airfoil surface in order to minimize drag, which resulted in lower stress values experienced by the structure.

Aerodynamic Shape Optimization of Diffuser Augmented Wind Turbine Shrouds Using Asynchronous Differential Evolution

2018 ◽  
Author(s):  
Stavros N. Leloudas ◽  
Georgios N. Lygidakis ◽  
Giorgos A. Strofylas ◽  
Ioannis K. Nikolos
Keyword(s):  
Shape Optimization ◽  
Differential Evolution ◽  
Wind Turbine ◽  
Stokes Equations ◽  
Free Form ◽  
Finite Volume Scheme ◽  
Computational Domain ◽  
Aerodynamic Shape Optimization ◽  
Aerodynamic Shape ◽  
De Algorithm

An adaptable numerical scheme for the aerodynamic shape optimization of axisymmetric diffuser-augmented wind turbine shrouds is demonstrated in this work, using an asynchronous and parallel version of a Differential Evolution (DE) algorithm. The simulation of the incompressible flow field about each candidate geometry is succeeded by means of an in-house Computational Fluid Dynamics (CFD) solver, that has been developed based on the specially modified, by the artificial compressibility approach, Navier-Stokes equations, expressed in non-dimensional form, for 2D-axisymmetric frames of reference. The discretization of the computational domain is made with 2D hybrid unstructured meshes, composed by both triangular and quadrilateral elements, combined with a node-centered finite-volume scheme, while the Free-Form Deformation (FFD) technique is applied, for both the parameterization of the design geometry and the morphing of the computational mesh. The required data transfer between the DE algorithm and the CFD solver is accomplished with appropriate text files, while the parallel implementation is achieved utilizing the Message Passing Interface (MPI) library functions. Further acceleration of the optimization procedure is succeeded by the combination of the DE with surrogate models, in order to replace the costly CFD-based evaluations of the candidate solutions with fast, but approximate estimations of their cost function.

Efficient aerodynamic shape optimization through reduced order CFD modeling

2020 ◽  
Vol 21 (4) ◽  
pp. 1599-1611
Author(s):  
Peng Shengfang ◽  
Zhang Junjie ◽  
Zhang Chunyu
Keyword(s):  
Shape Optimization ◽  
Cfd Modeling ◽  
Aerodynamic Shape Optimization ◽  
Reduced Order ◽  
Aerodynamic Shape

scholarly journals Three-Dimensional Large-Scale Aerodynamic Shape Optimization Based on Shape Calculus

AIAA Journal ◽  
2013 ◽  
Vol 51 (11) ◽  
pp. 2615-2627 ◽  
Author(s):  
Stephan Schmidt ◽  
Caslav Ilic ◽  
Volker Schulz ◽  
Nicolas R. Gauger
Keyword(s):  
Shape Optimization ◽  
Large Scale ◽  
Three Dimensional ◽  
Aerodynamic Shape Optimization ◽  
Aerodynamic Shape ◽  
Shape Calculus
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