Topology optimization of creeping fluid flows using a Darcy–Stokes finite element

By James K. Guest, Jean-Herve Prevost. 2006

313 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/994b5519d2c983607cd2dd1608e02dafd3253efa

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Physics-informed neural networks with hard constraints for inverse design (2021, methodology): “Then this problem is a discrete topology optimization for ρ , and solving a large-scale discrete topology optimization is generally computationally prohibitive [14].”
Imposing maximum length scale in topology optimization (2009, methodology): “The reader is referred to Guest and Prevost (2006b) for details on the formulation and solution algorithm.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Later, Guest and Prévost (2006a, 2007) and Chen et al. (2009) designed periodic structures for both stiffness and fluid permeability while Chen et al. (2010b) and de Kruijf et al. (2007) designed for stiffness and thermal conductivity.”
Optimizing multifunctional materials: Design of microstructures for maximized stiffness and fluid permeability (2006, methodology): “The problem is first solved with a relatively large value of solid phase permeability, and j is decreased in subsequent design iterations as described in Guest and Prévost (2006).”
Topology Optimization of Heat and Mass Transfer Problems: Laminar Flow (2013, methodology): “Similarly to Guest and Prévost in [7], the main motivation is to test the capability of Xs subsets to replicate the no-slip condition along its boundaries.”
Large‐scale topology optimization using preconditioned Krylov subspace methods with recycling (2007, methodology): “Reference [9], the Krylov subspace recycling methods from [4], outlined briefly in Section 3, can be used.”