Blucher Mechanical Engineering Proceedings

Maio 2014, vol.1, num.1 - 10th World Congress on Computational Mechanics
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A DIFFUSE-MORPHING ALGORITHM FOR SHAPE OPTIMIZATION

A DIFFUSE-MORPHING ALGORITHM FOR SHAPE OPTIMIZATION

Raghavan, Balaji; Breitkopf, Piotr; Villon, Pierre

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Shape optimization typically involves geometries characterized by several dozen design variables and a possibly high number of explicit/implicit constraints restricting the design space to admissible shapes. In this work, instead of working with parametrized CAD models, the idea is to interpolate between admissible instances of finite element/CFD meshes. We show that a properly chosen surrogate model can replace the numerous geometry-based design variables with a more compact set permitting a global understanding of the admissible shapes spanning the design domain, thus reducing the size of the optimization problem. To this end, we present a two-level mesh parametrization approach for the design domain geometry based on Diffuse Approximation in a properly chosen locally linearized space, and replace the geometry-based variables with the smallest set of variables needed to represent a manifold of admissible shapes for a chosen precision. We demonstrate this approach in the problem of designing the section of an A/C duct to maximize the permeability evaluated using CFD.

Shape optimization typically involves geometries characterized by several dozen design variables and a possibly high number of explicit/implicit constraints restricting the design space to admissible shapes. In this work, instead of working with parametrized CAD models, the idea is to interpolate between admissible instances of finite element/CFD meshes. We show that a properly chosen surrogate model can replace the numerous geometry-based design variables with a more compact set permitting a global understanding of the admissible shapes spanning the design domain, thus reducing the size of the optimization problem. To this end, we present a two-level mesh parametrization approach for the design domain geometry based on Diffuse Approximation in a properly chosen locally linearized space, and replace the geometry-based variables with the smallest set of variables needed to represent a manifold of admissible shapes for a chosen precision. We demonstrate this approach in the problem of designing the section of an A/C duct to maximize the permeability evaluated using CFD.

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DOI: 10.5151/meceng-wccm2012-18293

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Como citar:

Raghavan, Balaji; Breitkopf, Piotr; Villon, Pierre; "A DIFFUSE-MORPHING ALGORITHM FOR SHAPE OPTIMIZATION", p-1181-1200. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18293

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