Article Dans Une Revue Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics Année : 2012

POD-morphing, an a posteriori grid parametrization method for shape optimization

Balaji Raghavan

Résumé

Shape optimization typically involves geometries characterized by several dozen design variables set with no prior knowledge of the design domain topology. A surrogate model can replace the numerous geometry-based design variables with a much more compact set of design variables that have a built-in global understanding of the geometry, thus reducing the size of the optimization problem. In this paper, we present a grid parametrization approach for the design domain geometry based on the method of Proper Orthogonal Decomposition using the method of snapshots, and replace the geometry-based design variables with the smallest possible set of POD coefficients. We demonstrate this method in the well-known problem of designing the section of an air-conditioning duct to maximize the permeability evaluated using CFD with an incompressible 2D model implemented in OpenFOAM.

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Dates et versions

hal-00982746 , version 1 (24-04-2014)

Identifiants

Citer

Balaji Raghavan, Piotr Breitkopf, Pierre Villon. POD-morphing, an a posteriori grid parametrization method for shape optimization. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2012, 19 (5-7), pp.671-697. ⟨10.3166/ejcm.19.671-697⟩. ⟨hal-00982746⟩
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