Level set topology optimization of fluids in Stokes flow

By V. Challis, James K. Guest. 2009

208 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/493a0851a55b089ae4d8d80339214119acfdfbe7

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Citations in the corpus

Topology optimization for unsteady flow (2011, methodology): “Guest and Prévost [13] conducted fluid topology optimization using a Darcy–Stokes flow model.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Challis and Guest (2009) utilized a conventional level set method for optimization of minimum power dissipation flow paths in Stokes flow and Abdelwahed and Hassine (2009) also proposed a level set formulation for Stokes flow with 2D and 3D examples.”
Topological derivatives applied to fluid flow channel design optimization problems (2016, methodology): “In order to compare the results with the literature [12, 14] we define the functional G(u) = ∫”
Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: A review. (2016, background): “Level-set topology optimization enables the no-slip boundary condition of fluids in Stokes flow to be naturally satisfied [113].”
Topology optimization approaches (2013, background): “The reactive term R(φ) can be used to nucleate holes using, for example, topological derivatives (Burger et al. 2004; Challis and Guest 2009).”
Topology optimisation for natural convection problems (2014, methodology): “Alternatives to Brinkman penalisation exists in the literature: Guest and Prevost [29] utilised the interpolation between two physical models, namely the Darcy and Stokes equations, and the levelset approach to topology optimisation has also been applied to fluid flow problems [30, 31], recently als”