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

DOI10.4171/IFB/363zbMath1352.49046arXiv1504.06402OpenAlexW2137285474MaRDI QIDQ344476

Claudia Hecht, Michael Hinze, Harald Garcke, Christian Kahle, Kei Fong Lam

Publication date: 22 November 2016

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06402

zbMATH Keywords

Navier-Stokes equationsshape optimizationphase-field method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Sensitivity analysis for optimization problems on manifolds (49Q12)

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Cites Work

• The Differentiability of the Drag with Respect to the Variations of a Lipschitz Domain in a Navier--Stokes Flow
• Topology optimization of fluids in Stokes flow
• Unnamed Item