scholarly journals Enhancing CAD-based shape optimisation by automatically updating the CAD model’s parameterisation

2018 ◽  
Vol 59 (5) ◽  
pp. 1639-1654 ◽  
Author(s):  
Dheeraj Agarwal ◽  
Trevor T. Robinson ◽  
Cecil G. Armstrong ◽  
Christos Kapellos
Keyword(s):  
Author(s):  
José Arthur Gonçalves da Silva Teixeira ◽  
Bryan Castro Caetano ◽  
Matheus Ungaretti Borges ◽  
Jose Baeta ◽  
Ricardo Poley Martins Ferreira
Keyword(s):  

Author(s):  
Peter Marvin Müller ◽  
Niklas Kühl ◽  
Martin Siebenborn ◽  
Klaus Deckelnick ◽  
Michael Hinze ◽  
...  

AbstractWe introduce a novel method for the implementation of shape optimization for non-parameterized shapes in fluid dynamics applications, where we propose to use the shape derivative to determine deformation fields with the help of the $$p-$$ p - Laplacian for $$p > 2$$ p > 2 . This approach is closely related to the computation of steepest descent directions of the shape functional in the $$W^{1,\infty }-$$ W 1 , ∞ - topology and refers to the recent publication Deckelnick et al. (A novel $$W^{1,\infty}$$ W 1 , ∞ approach to shape optimisation with Lipschitz domains, 2021), where this idea is proposed. Our approach is demonstrated for shape optimization related to drag-minimal free floating bodies. The method is validated against existing approaches with respect to convergence of the optimization algorithm, the obtained shape, and regarding the quality of the computational grid after large deformations. Our numerical results strongly indicate that shape optimization related to the $$W^{1,\infty }$$ W 1 , ∞ -topology—though numerically more demanding—seems to be superior over the classical approaches invoking Hilbert space methods, concerning the convergence, the obtained shapes and the mesh quality after large deformations, in particular when the optimal shape features sharp corners.


2021 ◽  
Vol 161 ◽  
pp. 107402
Author(s):  
V.M. Guimarães ◽  
B.P. Gilbert ◽  
N. Talebian ◽  
B. Wang

2013 ◽  
Vol 48 (2) ◽  
pp. 367-378 ◽  
Author(s):  
Stephan Hunkeler ◽  
Fabian Duddeck ◽  
Milan Rayamajhi ◽  
Hans Zimmer

2018 ◽  
Vol 3 (1) ◽  
pp. 10-21
Author(s):  
L. Witanowski ◽  
P. Klonowicz ◽  
P. Lampart

2017 ◽  
Vol 3 ◽  
pp. 249-292 ◽  
Author(s):  
Aymeric Maury ◽  
Grégoire Allaire ◽  
François Jouve

Author(s):  
Balaji Raghavan ◽  
Manyu Xiao ◽  
Piotr Breitkopf ◽  
Pierre Villon

In the former paper, we have introduced an original morphing approach based on Proper Orthogonal Decomposition (POD) of shapes, designed to replace parametrized CAD models in structural optimization. Here, we expand the method to interpolate exclusively between admissible instances of structural shapes, thus permitting a global understanding of the design domain and also reducing the size of the optimisation problem. The result is a bilevel reparametrization approach for structural geometries based on Diffuse Approximation in a properly chosen locally linearized space, and the geometric parameters are replaced with the smallest set of variables needed to represent a manifold of admissible shapes for a chosen precision. We demonstrate the approach in a typical shape optimisation problem.


2018 ◽  
Vol 4 (48) ◽  
pp. 99-109
Author(s):  
Zhenfeng WU ◽  
Yanzhong HUO ◽  
Wangcai DING ◽  
Zihao XIE

Bionics has been widely used in many fields. Previous studies on the application of bionics in locomotives and vehicles mainly focused on shape optimisation of high-speed trains, but the research on bionic shape design in the electric locomotive field is rare. This study investigated a design method for streamlined electric locomotives according to the principles of bionics. The crocodiles were chosen as the bionic object because of their powerful and streamlined head shape. Firstly, geometric characteristic lines were extracted from the head of a crocodile by analysing the head features. Secondly, according to the actual size requirements of the electric locomotive head, a free-hand sketch of the bionic electric locomotive head was completed by adjusting the position and scale of the geometric characteristic lines. Finally, the non-uniform rational B-splines method was used to establish a 3D digital model of the crocodile bionic electric locomotive, and the main and auxiliary control lines were created. To verify the drag reduction effect of the crocodile bionic electric locomotive, numerical simulations of aerodynamic drag were performed for the crocodile bionic and bluff body electric locomotives at different speeds in open air by using the CFD software, ANSYS FLUENT16.0. The geometric models of crocodile bionic and bluff body electric locomotives were both marshalled with three cars, namely, locomotive + middle car + locomotive, and the size of the two geometric models was uniform. Dimensions and grids of the flow field were defined. And then, according to the principle of motion relativity, boundary conditions of flow field were defined. The results indicated that the crocodile bionic electric locomotive demonstrated a good aerodynamic performance. At the six sampling speeds in the range of 40–240 km/h, the aerodynamic drag coefficient of the crocodile bionic electric locomotive decreased by 7.7% on the average compared with that of the bluff body electric locomotive.


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