The Darcy-Stokes Topology Optimization Problem
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 (Refereed)
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.
topology optimization, Stokes flow, Darcy flow, area-to-point flow
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-33978Local ID: 20149OAI: oai:DiVA.org:liu-33978DiVA: diva2:254826