A Phase Field Approach for Shape and Topology Optimization in Stokes Flow

DOI10.1007/978-3-319-17563-8_5zbMath1329.76108OpenAlexW2473138856MaRDI QIDQ3466790

Harald Garcke, Claudia Hecht

Publication date: 25 January 2016

Published in: New Trends in Shape Optimization (Search for Journal in Brave)

Full work available at URL: https://epub.uni-regensburg.de/33910/1/09-2014.pdf

zbMATH Keywords

Stokes flowfictitious domain\(\Gamma\)-convergencediffuse interfacesphase field methodshape and topology optimization

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (7)

Numerical analysis of a topology optimization problem for Stokes flow ⋮ An Extension of the Projected Gradient Method to a Banach Space Setting with Application in Structural Topology Optimization ⋮ Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow ⋮ Sharp Interface Limit for a Phase Field Model in Structural Optimization ⋮ Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model ⋮ Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids ⋮ Shape and topology optimization in Stokes flow with a phase field approach

Cites Work

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• A level-set method for vibration and multiple loads structural optimization
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
• Design-dependent loads in topology optimization
• Topology optimization of fluids in Stokes flow

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