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Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach

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Garcke, Harald ; Hecht, Claudia ; Hinze, Michael ; Kahle, Christian ; Lam, Kei Fong
Date of publication of this fulltext: 12 Jan 2016 12:56


We consider shape and topology optimization for fluids which are governed by the Navier--Stokes equations. Shapes are modelled with the help of a phase field approach and the solid body is relaxed to be a porous medium. The phase field method uses a Ginzburg--Landau functional in order to approximate a perimeter penalization. We focus on surface functionals and carefully introduce a new modelling ...


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