Topology optimization of fluids in Stokes flow

By Thomas Borrvall, Joakim Petersson. 2003

1,222 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/472240346c064efa03de04acc6531cea442a7700

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In Civil and Structural Engineering

In Computational Theory and Mathematics

Citations in the corpus

Topology optimization approaches (2013, background): “For fluid problems considering minimization of pressure loss, the interpolation function needs to be tuned to smoothen the influence of the material distribution on the flow and to prevent too rapid convergence to (locally optimal) discrete designs (Borrvall and Petersson 2003).”
Topology optimization of heat conduction problems using the finite volume method (2006, background): “The seminal work Borrvall and Petersson (2003) has been extended to include the effect of inertia in Sigmund et al. (2003), Evgrafov (2004), Gersborg-Hansen et al. (2005a), and Olesen et al. (2005), and new work on topology optimization of transport problems was presented in Thellner (2005).”
Topology Optimization of Turbulent Flows (2018, methodology): “The interpolation between solid and fluid is realized with the help of a function χ(γ) [2], which is defined as”
Topology Optimization (2009, background): “Although topology optimization was introduced for mechanical problems, it is applicable in a large range of fields, for example acoustics [36], electrostatics [93], fluid-structure-interaction in poroelasticity [9], photonics [51], fluid dynamics [19], and thermal transport [8] [3].”
The Limits of Porous Materials in the Topology Optimization of Stokes Flows (2005, methodology): “for the Stokes equations as well as from the results in [ BP ]) that for each k = 1, 2 ,..., there is a solution (uk, pk) to (2).”
Topology optimization of creeping fluid flows using a Darcy–Stokes finite element (2006, methodology): “The goal of this work is to improve upon the relaxed Stokes flow formulation proposed in Reference [15].”