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An explicit level set approach for generalized shape optimization of fluids with the lattice Boltzmann method

https://doi.org/10.1002/fld.2193
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Topology optimization of fluids in Stokes flow
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A moving superimposed finite element method for structural topology optimization
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Topology optimization of creeping fluid flows using a Darcy–Stokes finite element
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A level set method for shape and topology optimization of large‐displacement compliant mechanisms
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Numerical methods for the topology optimization of structures that exhibit snap‐through
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Analysis of lattice Boltzmann boundary conditions
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Structural Boundary Design via Level Set and Immersed Interface Methods
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Parametric Shape and Topology Optimization with Radial Basis Functions
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Radial Basis Functions
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Topology Optimization: Theory, Methods, and Applications
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Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
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Adaptive topology optimization of elastoplastic structures
inferredcites →https://doi.org/10.1007/bf01743537openalex-snapshot
Adaptive topology optimization
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A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
inferredcites →https://doi.org/10.1007/s00158-003-0375-7openalex-snapshot
Topology optimization using a topology description function
inferredcites →https://doi.org/10.1007/s00158-004-0508-7openalex-snapshot
Topology optimization of channel flow problems
inferredcites →https://doi.org/10.1007/s00158-006-0091-1openalex-snapshot
Stress concentration minimization of 2D filets using X-FEM and level set description
inferredcites →https://doi.org/10.1007/s00158-007-0105-7openalex-snapshot
Topology optimization of flow domains using the lattice Boltzmann method
inferredcites →https://doi.org/10.1007/s001580050088openalex-snapshot
Topology optimization of continuum structures subjected to pressure loading
inferredcites →https://doi.org/10.1007/s001620050060openalex-snapshot
Optimum Aerodynamic Design Using the Navier-Stokes Equations
inferredcites →https://doi.org/10.1016/0021-9991(88)90002-2openalex-snapshot
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
inferredcites →https://doi.org/10.1016/b978-0-08-024488-4.50022-xopenalex-snapshot
SYSTEMATIC CONTROL DESIGN BY OPTIMIZING A VECTOR PERFORMANCE INDEX
inferredcites →https://doi.org/10.1016/j.cma.2007.07.002openalex-snapshot
An eXtended Finite Element Method/Lagrange multiplier based approach for fluid–structure interaction
inferredcites →https://doi.org/10.1016/j.compfluid.2008.10.002openalex-snapshot
Adjoint parameter sensitivity analysis for the hydrodynamic lattice Boltzmann method with applications to design optimization
inferredcites →https://doi.org/10.1016/j.compstruc.2004.08.003openalex-snapshot
Optimization of fully coupled electrostatic–fluid–structure interaction problems
inferredcites →https://doi.org/10.1016/j.jcp.2003.09.032openalex-snapshot
Structural optimization using sensitivity analysis and a level-set method
inferredcites →https://doi.org/10.1016/j.physleta.2007.09.070openalex-snapshot
Optimal shape control of fluid flow using variational level set method
inferredcites →https://doi.org/10.1016/s0045-7825(00)00227-9openalex-snapshot
Topology and shape optimization for elastoplastic structural response
inferredcites →https://doi.org/10.1016/s0045-7825(02)00559-5openalex-snapshot
A level set method for structural topology optimization
inferredcites →https://doi.org/10.1016/s1474-6670(17)65584-8openalex-snapshot
Systematic Control Design by Optimizing a Vector Performance Index
inferredcites →https://doi.org/10.1017/s0956792505006182openalex-snapshot
A survey on level set methods for inverse problems and optimal design
inferredcites →https://doi.org/10.1063/1.1399290openalex-snapshot
Momentum transfer of a Boltzmann-lattice fluid with boundaries
inferredcites →https://doi.org/10.1080/10618560701455855openalex-snapshot
Global optimization, level set dynamics, incomplete sensitivity and regularity control
inferredcites →https://doi.org/10.1093/oso/9780198503989.001.0001openalex-snapshot
The Lattice Boltzmann Equation for Fluid Dynamics and Beyond
inferredcites →https://doi.org/10.1103/physreve.65.041203openalex-snapshot
Force evaluation in the lattice Boltzmann method involving curved geometry
inferredcites →https://doi.org/10.1115/detc2006-99294openalex-snapshot
Parametric Structural Shape and Topology Optimization Method With Radial Basis Functions and Level-Set Method
inferredcites →https://doi.org/10.1142/4134openalex-snapshot
Classical and Computational Solid Mechanics
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.329openalex-snapshot
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
inferredcites →https://doi.org/10.1146/annurev.fluid.35.101101.161105openalex-snapshot
L EVEL S ET M ETHODS FOR F LUID I NTERFACES
inferredcites →https://doi.org/10.1146/annurev.fluid.37.061903.175743openalex-snapshot
IMMERSED BOUNDARY METHODS
inferredcites →https://doi.org/10.2514/6.1998-4948openalex-snapshot
Problem formulation, solution procedures and geometric modeling - Key issues in variable-topology optimization
inferredcites →https://doi.org/10.2514/6.2003-953openalex-snapshot
A Unified Boundary Treatment in Lattice Boltzmann Method
inferredcites →https://doi.org/10.2514/6.2007-3947openalex-snapshot
Implementation of a Continuous Adjoint for Topology Optimization of Ducted Flows
inferredcites →https://doi.org/10.3166/remn.17.13-30openalex-snapshot
Theory and practice of optimal shape design
inferredcites →https://doi.org/10.3970/cmes.2004.006.373openalex-snapshot
PDE-Driven Level Sets, Shape Sensitivity and Curvature Flow for Structural Topology Optimization

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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