Adaptive topology optimization for incompressible laminar flow problems with mass flow constraints

Behrou, Reza; Ranjan, Ram; Guest, James K.

doi:10.1016/j.cma.2018.11.037

Cited by 27 publications

(12 citation statements)

References 49 publications

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“…Yonekura and Kanno [65] proposed a heuristic approximation of the Hessian matrix for fast density-based optimisation using the LBM. Behrou et al [66] presented a methodology for adaptive explicit no-slip boundary conditions with a density-based method for laminar flow problems with mass flow constraints, adaptively removing elements in the solid regions. Alonso et al [67] applied density-based optimisation to the design of Tesla-type centrifugal pumps without blades.…”

Section: Steady Laminar Flowmentioning

confidence: 99%

“…Figure 9a shows that a significant share of the included papers contain three-dimensional results, namely 31% or 58 out of 186 papers. For the pure fluid flow, there are 15 papers for steady laminar flow [14,15,21,23,25,[32][33][34]36,46,55,56,61,66,70], 3 for unsteady flow [74,76,77], 2 for turbulent flow [80,82] and none for non-Newtonian fluids.…”

Section: Three-dimensional Problemsmentioning

confidence: 99%

“…The penalisation factor must be large enough to ensure this flow is negligible inside the solid domain, but small enough to ensure numerical stability of the solution and optimisation algorithms. Generally, this is not observed to be an issue in general, except for a few very specific problems, where pressure diffusion through the solid domains are problematic [30,66]. However, when the pressure field is of direct interest, the Brinkman penalisation must be significantly higher to ensure an accurate evaluation [171].…”

Section: Density-based Approachesmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

197

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This review paper provides an overview of the literature for topology optimisation of fluid-based problems, starting with the seminal works on the subject and ending with a snapshot of the state of the art of this rapidly developing field. “Fluid-based problems” are defined as problems where at least one governing equation for fluid flow is solved and the fluid–solid interface is optimised. In addition to fluid flow, any number of additional physics can be solved, such as species transport, heat transfer and mechanics. The review covers 186 papers from 2003 up to and including January 2020, which are sorted into five main groups: pure fluid flow; species transport; conjugate heat transfer; fluid–structure interaction; microstructure and porous media. Each paper is very briefly introduced in chronological order of publication. A quantititive analysis is presented with statistics covering the development of the field and presenting the distribution over subgroups. Recommendations for focus areas of future research are made based on the extensive literature review, the quantitative analysis, as well as the authors’ personal experience and opinions. Since the vast majority of papers treat steady-state laminar pure fluid flow, with no recent major advancements, it is recommended that future research focuses on more complex problems, e.g., transient and turbulent flow.

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Section: Steady Laminar Flowmentioning

confidence: 99%

Section: Three-dimensional Problemsmentioning

confidence: 99%

Section: Density-based Approachesmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

197

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“…The modeling of the solid is in the aforementioned references done by using a Brinkman transition flow / lubrication theory based approach, which is also employed in the present work. However, other methods have been presented such as Darcy-Stokes interpolation (Guest and Prévost 2006), stabilized Lagrange multiplier approaches(XFEM) (Kreissl and Maute 2012) and adaptive no-slip conditions (Behrou et al 2019).…”

Section: Introductionmentioning

confidence: 99%

A framework for topology optimization of inertial microfluidic particle manipulators

Andreasen

2020

Struct Multidisc Optim

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“…Our proposed method shares similarities with topology or shape optimization, the two prominent techniques in engineering practice for functional design of fluidic devices [Alexandersen and Andreasen 2020]. The vast majority of prior methods focus on topology optimization for steady-state laminar flows paired with no-slip boundary conditions only [Behrou et al 2019;Borrvall and Petersson 2003;Gersborg-Hansen et al 2005;Lin et al 2015]. While topology optimization yields a geometrically expressive design space, this combination of rasterized and highly frictional boundaries limits both the realism and the functional expressiveness of the optimized designs.…”

Section: Introductionmentioning

confidence: 99%

Functional optimization of fluidic devices with differentiable stokes flow

Du¹,

Wu²,

Spielberg³

et al. 2020

ACM Trans. Graph.

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We present a method for performance-driven optimization of fluidic devices. In our approach, engineers provide a high-level specification of a device using parametric surfaces for the fluid-solid boundaries. They also specify desired flow properties for inlets and outlets of the device. Our computational approach optimizes the boundary of the fluidic device such that its steady-state flow matches desired flow at outlets. In order to deal with computational challenges of this task, we propose an efficient, differentiable Stokes flow solver. Our solver provides explicit access to gradients of performance metrics with respect to the parametric boundary representation. This key feature allows us to couple the solver with efficient gradient-based optimization methods. We demonstrate the efficacy of this approach on designs of five complex 3D fluidic systems. Our approach makes an important step towards practical computational design tools for high-performance fluidic devices.

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Adaptive topology optimization for incompressible laminar flow problems with mass flow constraints

Cited by 27 publications

References 49 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

A framework for topology optimization of inertial microfluidic particle manipulators

Functional optimization of fluidic devices with differentiable stokes flow

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