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Published in:
2006 | OriginalPaper | Chapter
The Darcy-Stokes Topology Optimization Problem
Authors : Niclas Wiker, Anders Klarbring, Thomas Borrvall
Published in: IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Publisher: Springer Netherlands
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This paper treats the optimal layout of mixtures of regions of Stokes viscosity dominated flow and regions of Darcy porous flow. The problem of minimizing the potential of the state problem, representing essentially dissipation, is formulated, and can be shown to have a solution under appropriate filtering of the design. It can also be shown that the unfiltered design has a zero-one property. An area-to-point flow problem is solved for various filter radii.