Topology optimization of unsteady flow problems using the lattice Boltzmann method

Nørgaard, Sebastian Arlund; Sigmund, Ole; Lazarov, Boyan Stefanov

doi:10.1016/j.jcp.2015.12.023

Cited by 70 publications

(34 citation statements)

References 42 publications

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“…The design converged in 225 iterations and the optimized layout is shown in Figure 18. Similar to the results from [73], the design exhibits a narrowing of the inflow channel, and the formation of a central reservoir from which fluid flows towards the pumping outlet during the outflow cycle. The pipe joining the bottom port to the top outlet forms naturally during the optimization process.…”

Section: Design Of An Oscillating Pumpsupporting

confidence: 61%

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CutFEM topology optimization of 3D laminar incompressible flow problems

Villanueva

Maute

2017

Computer Methods in Applied Mechanics and Engineering

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This paper studies the characteristics and applicability of the CutFEM approach [1] as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200). CutFEM is a methodology for discretizing partial differential equations on complex geometries by immersed boundary techniques. In this study, the geometry of the fluid domain is described by an explicit level set method, where the parameters of a level set function are defined as functions of the optimization variables. The fluid behavior is modeled by the incompressible Navier-Stokes equations. Species transport is modeled by an advection-diffusion equation. The governing equations are discretized in space by a generalized extended finite element method. Face-oriented ghost-penalty terms are added for stability reasons and to improve the conditioning of the system. The boundary conditions are enforced weakly via Nitsche's method. The emergence of isolated volumes of fluid surrounded by solid during the optimization process leads to a singular analysis problem. An auxiliary indicator field is modeled to identify these volumes and to impose a constraint on the average pressure. Numerical results for 3D, steady-state and transient problems demonstrate that the CutFEM analyses are sufficiently accurate, and the optimized designs agree well with results from prior studies solved in 2D or by density approaches.

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Section: Design Of An Oscillating Pumpsupporting

confidence: 61%

“…We consider the design of a simplified fluid pump. The example is the 3D analog to the 2D problem found in [73]. The problem setup is shown in Figure 17.…”

Section: Design Of An Oscillating Pumpmentioning

confidence: 99%

CutFEM topology optimization of 3D laminar incompressible flow problems

Villanueva

Maute

2017

Computer Methods in Applied Mechanics and Engineering

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“…Topology optimisation for fluid systems began with the treatment of Stokes flow by Borrvall and Petersson [11] and has since been applied to Navier-Stokes flow [12], as well as passive transport problems [13,14], reactive flows [15], transient flows [16,17,18], fluid-structure interaction [19,20], amongst many others. The extension of topology optimisation to turbulent fluid flow is still in its infancy [21,22].…”

Section: Introductionmentioning

confidence: 99%

Design of passive coolers for light-emitting diode lamps using topology optimisation

Alexandersen

Sigmund

Meyer

et al. 2018

International Journal of Heat and Mass Transfer

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Topology optimised designs for passive cooling of light-emitting diode (LED) lamps are investigated through extensive numerical parameter studies. The designs are optimised for either horizontal or vertical orientations and are compared to a lattice-fin design. The different orientations result in significant differences in topologies. The optimisation favors placing material at outer boundaries of the design domain, leaving a hollow core that allows the buoyancy forces to accelerate the air to higher speeds. Investigations show that increasing design symmetry yields performance with less sensitivity to orientation with a minor loss in mean performance. The topology-optimised designs of heat sinks for natural convection yield a 26% lower package temperature using around 12% less material compared to the lattice-fin design, while maintaining low sensitivity to orientation. Furthermore, they exhibit several defining features and provide insight and general guidelines for the design of passive coolers for LED lamps.

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“…Impeller designs for flow machines have been studied by Romero and Silva (2014) and Andreasen et al (2014) for 2D and 3D designs, respectively. An alternative unsteady pump design is promoted by Nørgaard et al (2016). On top of the flow problems different transport phenomena have been considered i.e.…”

Section: Primary Inflow Outflowmentioning

confidence: 99%

Topology optimization of inertia driven dosing units

Andreasen

2016

Struct Multidisc Optim

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This paper presents a methodology for optimizing inertia driven dosing units, sometimes referred to as eductors, for use in small scale flow applications. The unit is assumed to operate at low to moderate Reynolds numbers and under steady state conditions. By applying topology optimization to the Brinkman penalized Navier-Stokes equation the design of the dosing units can be optimized with respect to dosing capability without initial design assumptions. The influence of flow resistance and speed is investigated to assess design performance under varying operating conditions.

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Topology optimization of unsteady flow problems using the lattice Boltzmann method

Cited by 70 publications

References 42 publications

CutFEM topology optimization of 3D laminar incompressible flow problems

CutFEM topology optimization of 3D laminar incompressible flow problems

Design of passive coolers for light-emitting diode lamps using topology optimisation

Topology optimization of inertia driven dosing units

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