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The Darcy-Stokes Topology Optimization Problem
Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.
Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.ORCID iD: 0000-0001-8460-0131
2006 (English)In: IUTAM Symposium on Topological Design Optimization of Structures, Mashines and Materials: Status and Perspectives,2005, Dordrecht: Springer , 2006, 551- p.Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Dordrecht: Springer , 2006. 551- p.
Keyword [en]
topology optimization, Stokes flow, Darcy flow, area-to-point flow
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-33978Local ID: 20149OAI: oai:DiVA.org:liu-33978DiVA: diva2:254826
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-05-15

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Wiker, NiclasBorrvall, ThomasKlarbring, Anders

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