Levelset based fluid topology optimization using the extended finite element method

DOI10.1007/s00158-012-0782-8zbMath1274.76251OpenAlexW2033143900MaRDI QIDQ381838

Sebastian Kreissl, Kurt Maute

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-012-0782-8

zbMATH Keywords

nonlinear programmingextended finite element methodNavier-Stokesadjoint sensitivity analysislevelset methodstabilized Lagrange multiplier method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Discrete approximations in optimal control (49M25)

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Cites Work

• Unnamed Item
• Unnamed Item
• Topology optimization of flow domains using the lattice Boltzmann method
• A parametric level-set approach for topology optimization of flow domains
• The extended finite element method for two-phase and free-surface flows: a systematic study
• Optimal shape control of fluid flow using variational level set method
• Topology optimization of unsteady incompressible Navier-Stokes flows
• Shape-topology optimization of Stokes flow via variational level set method
• Shape-topology optimization for Navier-Stokes problem using variational level set method
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• A penalization method to take into account obstacles in incompressible viscous flows
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• A variational level set method for the topology optimization of steady-state Navier-Stokes flow
• Topology optimization for unsteady flow
• An explicit level set approach for generalized shape optimization of fluids with the lattice Boltzmann method
• A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow
• A moving superimposed finite element method for structural topology optimization
• Topology optimization of creeping fluid flows using a Darcy–Stokes finite element
• An Extended Finite Element Method for Two-Phase Fluids
• Enhancement of fixed‐grid methods towards complex fluid–structure interaction applications
• A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows
• An embedded Dirichlet formulation for 3D continua
• Level set topology optimization of fluids in Stokes flow
• Elastic crack growth in finite elements with minimal remeshing
• Extended finite element method for three-dimensional crack modelling
• Arbitrary branched and intersecting cracks with the extended finite element method
• Topology optimization of fluids in Stokes flow
• A finite element method for crack growth without remeshing
• Theory and practice of optimal shape design
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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