A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints

DOI10.1007/s10444-018-9586-8zbMath1406.35274arXiv1702.03855OpenAlexW3104767962MaRDI QIDQ1633003

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

Publication date: 18 December 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03855

zbMATH Keywords

shape optimizationtopology optimizationNavier-Stokes flowphase field approachintegral state constraints

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Sensitivity analysis for optimization problems on manifolds (49Q12) Ginzburg-Landau equations (35Q56) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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