Topology optimization of fluid‐structure interaction problems with total stress equilibrium

DOI10.1002/nme.7368arXiv2203.07915OpenAlexW4387741415MaRDI QIDQ6148514

Aleksander Czekanski, Mohamed K. Abdelhamid

Publication date: 7 February 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07915

zbMATH Keywords

fluid-structure interactionstopology optimizationviscous stressestraction equilibriumdensity-based methods

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Topological methods for optimization problems in solid mechanics (74P15) Viscous vortex flows (76D17) PDEs in connection with mechanics of deformable solids (35Q74)

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