Topology optimization of channel flow problems

By A. Gersborg-Hansen, Ole Sigmund, Robert B. Haber. 2005

580 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/71586c0909b6c96abc5e91a70bf3d2cc3565d839

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In Civil and Structural Engineering

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Citations in the corpus

Adjoint-based constrained topology optimization for viscous flows, including heat transfer (2013, methodology): “In fluid mechanics, the same idea was initially used for Stokes (Borvall and Peterson 2003, Guest and Prevost 2006) and laminar flows (Gersborg-Hansen et al. 2005b), by introducing a real-valued porosity field into the governing equations.”
Imposing maximum length scale in topology optimization (2009, background): “In the topology optimization flows (Borrvall and Petersson 2003; Evgrafov 2005; Guest and Prevost 2006b; Gersborg-Hansen et al. 2005; Wiker et al. 2007), 464 J. K. Guest”
Topology Optimization of Heat and Mass Transfer Problems: Laminar Flow (2013, background): “[9] 2005 Navier-Stokes FEM Discrete MMA”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “By including inertial effects, Gersborg-Hansen et al. (2005) and Kreissl et al. (2011) focused on topology optimization of incom- pressible Navier-Stokes flow at low Reynolds numbers for channels while Oleson et al. (2006) utilized a similar formulation along with the commercial tool FEMLAB.”
Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection (2015, methodology): “The dimensionless form of the governing equations have been derived based on the Navier-Stokes and convectiondiffusion equations under the assumption of constant fluid properties, incompressible, steady flow and neglecting viscous dissipation.”
Topology optimization approaches (2013, methodology): “More advanced mathematical programming tools like SNOPT (Gill et al. 2005) and IPOPT (Wächter and Biegler 2006) have appeared and have been tested, however, so far, they have not proven more efficient or more reliable than the MMA approaches.”
Heaviside projection based topology optimization by a PDE-filtered scalar function (2011, methodology): “As regards the sensitivity analysis using the software we refer to the previous work (Gersborg-Hansen et al. 2005; Olesen et al. 2006) and the user’s manual.”