Topology optimization of regions of Darcy and Stokes flow

• DOI: 10.1002/nme.1811
• Publication Date: 2006-08-01T22:26:33Z
• Authors: Niclas Wiker; Anders Klarbring; Thomas Borrvall
• Keywords: Topology optimization; Regularization; Darcy's law

Abstract This paper treats the topology optimization problem of obtaining an optimal layout regions Darcy and Stokes flow, where objective is total potential power functional representing average fluid pressure. It extends work Borrvall Petersson, which concerned flow only. A generalization Stokes' equations derived used as state constraints in problem. proof existence solutions provided, it seen that although corresponding Petersson does not need regularization, present one does. also concluded linear interpolations parameters will result black white (unfiltered) designs. The method tested on area‐to‐point type discussed by Bejan, influence various numerical strategies design are studied. Copyright © 2006 John Wiley & Sons, Ltd.