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Numerical approximation of phase field based shape and topology optimization for fluids

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Garcke, Harald ; Hecht, Claudia ; Hinze, Michael ; Kahle, Christian
Date of publication of this fulltext: 22 Jun 2016 07:04


We consider the problem of finding optimal shapes of fluid domains. The fluid obeys the Navier{Stokes equations. Inside a holdall container we use a phase field approach using diffuse interfaces to describe the domain of free flow. We formulate a corresponding optimization problem where flow outside the fluid domain is penalized. The resulting formulation of the shape optimization problem is ...


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