A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer - Université de La Réunion Accéder directement au contenu
Article Dans Une Revue Computers and Fluids Année : 2018

A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer

Résumé

This paper proposes a new interpolation technique based on density approach to solve topology optimization problems for heat transfer. Problems are modeled under the assumptions of steady-state laminar flow using the incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation. The governing equations are discretized using finite volume elements and topology optimization is performed using adjoint sensitivity analysis. Material distribution and effective conductivity are interpolated by two sigmoid functions respectively h τ (α) and k τ (α) in order to provide a continuous transition between the solid and the fluid domains. Comparison with standard interpolation function of the literature (RAMP function) shows a smaller transition zone between the fluid and the solid thereby, avoiding some regularization techniques. In order to validate the new method, numerical applications are investigated on some cases from the literature, namely the single pipe and the bend pipe. Lastly, as two new parameters are introduced thanks to the interpolation functions, we study their impact on results of the optimization problem. The study shows that the proposed technique is a viable approach for designing geometries and fluid-porous media interfaces are well-defined.
Fichier principal
Vignette du fichier
article.pdf (5.36 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01618684 , version 1 (18-10-2017)

Identifiants

Citer

Delphine Ramalingom, Pierre-Henri Cocquet, Alain Bastide. A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer. Computers and Fluids, 2018, ⟨10.1016/j.compfluid.2018.04.005⟩. ⟨hal-01618684⟩
422 Consultations
644 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More