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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
License: Allianz- bzw. Nationallizenz
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Date of publication of this fulltext: 03 Mar 2017 11:54


We consider shape and topology optimization of an object in fluid flow 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 ...


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