A phase field approach for shape and topology optimization in Stokes flow
نویسندگان
چکیده
A new formulation for shape and topology optimization in a Stokes flow is introduced. The investigated problem minimizes the total potential power of the flow. By combining a porous medium and a phase field approach we obtain a well-posed problem in a diffuse interface setting that can be reformulated into a problem without state equations. We can derive a sharp interface problem with zero permeability outside the fluid region as a Γ-limit of this porous medium – phase field problem.
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