Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow

DOI10.1051/cocv/2015006zbMath1342.35218arXiv1407.5470OpenAlexW2012121957MaRDI QIDQ2808046

Harald Garcke, Claudia Hecht

Publication date: 26 May 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5470

zbMATH Keywords

fictitious domaindiffuse interfacesphase field methodShape and topology optimizationstationary Navier-Stokes flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational problems in a geometric measure-theoretic setting (49Q20) 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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